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E. Seneta Functional Equations and the Galton--Watson Process . . . . . . . . . 1--42 J. E. Littlewood On the Probability in the Tail of a Binomial Distribution . . . . . . . . . 43--72 P. A. P. Moran A Second Note on Recent Research in Geometrical Probability . . . . . . . . 73--89 J. Gani Recent Advances in Storage and Flooding Theory . . . . . . . . . . . . . . . . . 90--110 P. D. Finch Linear Least Squares Prediction in Non-Stochastic Time Series . . . . . . . 111--122 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Erhan Çinlar Markov Renewal Theory . . . . . . . . . 123--187 Jeffrey J. Hunter On the Moments of Markov Renewal Processes . . . . . . . . . . . . . . . 188--210 R. E. Miles Poisson Flats in Euclidean Spaces. Part I: A Finite Number of Random Uniform Flats . . . . . . . . . . . . . . . . . 211--237 J. C. Gittins Optimal Resource Allocation in Chemical Research . . . . . . . . . . . . . . . . 238--270 P. Whittle Sequential Decision Processes with Essential Unobservables . . . . . . . . 271--287 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Harry Kesten Quadratic Transformations: A Model for Population Growth. I . . . . . . . . . . 1--82 A. W. Davis Some Generalizations of Bailey's Birth Death and Migration Model . . . . . . . 83--109 Marcel F. Neuts Two Servers in Series, Studied in Terms of a Markov Renewal Branching Process 110--149 Donald L. Iglehart and Ward Whitt Multiple Channel Queues in Heavy Traffic. I . . . . . . . . . . . . . . . 150--177 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Harry Kesten Quadratic Transformations: A Model for Population Growth. II . . . . . . . . . 179--228 Takeo Maruyama Stepping Stone Models of Finite Length 229--258 John Bather Optimal Stopping Problems for Brownian Motion . . . . . . . . . . . . . . . . . 259--286 T. Gergely and I. N. Tsukanow and I. I. Yezhow Markov Chains Governed by Complicated Renewal Processes . . . . . . . . . . . 287--322 Sidney I. Resnick and Marcel F. Neuts Limit Laws for Maxima of a Sequence of Random Variables Defined on a Markov Chain . . . . . . . . . . . . . . . . . 323--343 Lajos Takács On the Distribution of the Maximum of Sums of Mutually Independent and Identically Distributed Random Variables 344--354 Donald L. Iglehart and Ward Whitt Multiple Channel Queues in Heavy Traffic. II: Sequences, Networks, and Batches . . . . . . . . . . . . . . . . 355--369 Ward Whitt Multiple Channel Queues in Heavy Traffic. III: Random Server Selection 370--375 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
R. E. Miles Poisson Flats in Euclidean Spaces. Part II: Homogeneous Poisson Flats and the Complementary Theorem . . . . . . . . . 1--43 E. F. Harding The Probabilities of Rooted Tree-Shapes Generated by Random Bifurcation . . . . 44--77 Marcel F. Neuts A Queue Subject to Extraneous Phase Changes . . . . . . . . . . . . . . . . 78--119 Edward C. Van Der Meulen Three-Terminal Communication Channels 120--154 Manfred Schäl The Analysis of Queues with State-Dependent Parameters by Markov Renewal Processes . . . . . . . . . . . 155--175 A. G. Pakes Some Limit Theorems for the Total Progeny of a Branching Process . . . . . 176--192 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous [Introduction] . . . . . . . . . . . . . 193--193 L. D. Meshalkin Mathematical Methods of Chronic Diseases Study in 1970 . . . . . . . . . . . . . 194--196 Petre Tautu Structural Models in Epidemiology: An Introductory Investigation . . . . . . . 196--198 Tosio Kitagawa Information Science Approach to Biomathematics and Its Implications to Ecology and Quantitative Epidemiology 198--200 Norman C. Severo Multidimensional Right-Shift Processes 200--201 John J. Gart Mathematical Models in the Interpretation of the Interaction between Infective Agents . . . . . . . . 202--203 J. Gani Recent Work in Epidemiology at Sheffield 204--206 V. P. Krus and L. A. Rvachev The Mathematical Theory of Epidemics: A Study of the Evolution of Resistance in Microorganisms . . . . . . . . . . . . . 206--208 Klaus Dietz Malaria Models . . . . . . . . . . . . . 208--210 Trevor Williams and Rolf Bjerknes Hyperplasia: The Spread of Abnormal Cells through a Plane Lattice . . . . . 210--211 Norman T. J. Bailey and Anthony S. Thomas The Estimation of Parameters from Population Data on the General Stochastic Epidemic . . . . . . . . . . 211--214 H. E. Daniels A Note on Perturbation Techniques for Epidemics . . . . . . . . . . . . . . . 214--218 George H. Weiss On a Perturbation Method for the Theory of Epidemics . . . . . . . . . . . . . . 218--220 George H. Weiss and Menachem Dishon Asymptotic Behavior of a Generalization of Bailey's Simple Epidemic . . . . . . 220--221 A. V. Nagaev Asymptotic Methods for Problems in the Mathematical Theory of Epidemics . . . . 222--223 Trevor Williams An Algebraic Proof of the Threshold Theorem for the General Stochastic Epidemic . . . . . . . . . . . . . . . . 223--223 O. V. Baroyan and L. A. Rvachev and U. V. Basilevsky and V. V. Ermakov and K. D. Frank and M. A. Rvachev and V. A. Shashkov Computer Modelling of Influenza Epidemics for the Whole Country (USSR) 224--226 Lila R. Elveback Simulation of Stochastic Discrete-Time Epidemic Models for Two Agents . . . . . 226--228 David S. Reynolds and I. Richard Savage Random Wear Models in Reliability Theory 229--248 E. Kyprianou The Virtual Waiting Time of the GI/G/1 Queue in Heavy Traffic . . . . . . . . . 249--268 Donald L. Iglehart Functional Limit Theorems for the Queue GI/G/1 in Light Traffic . . . . . . . . 269--281 K. S. Fahady and M. P. Quine and D. Vere-Jones Heavy Traffic Approximations for the Galton--Watson Process . . . . . . . . . 282--300 A. G. Pakes A Branching Process with a State Dependent Immigration Component . . . . 301--314 Julian Keilson and S. Subba Rao A Process with Chain Dependent Growth Rate. Part II: The Ruin and Ergodic Problems . . . . . . . . . . . . . . . . 315--338 J. Gani and D. R. McNeil Joint Distributions of Random Variables and Their Integrals for Certain Birth--Death and Diffusion Processes . . 339--352 R. E. Miles Isotropic Random Simplices . . . . . . . 353--382 R. Ahlswede and J. Wolfowitz Channels without Synchronization . . . . 383--403 Howard G. Tucker On Asymptotic Independence of the Partial Sums of Positive and Negative Parts of Independent Random Variables 404--425 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Eugene Lukacs A Survey of the Theory of Characteristic Functions . . . . . . . . . . . . . . . 1--38 J. E. Moyal Particle Populations and Number Operators in Quantum Theory . . . . . . 39--80 Georg Lindgren Wave-Length and Amplitude in Gaussian Noise . . . . . . . . . . . . . . . . . 81--108 Z. A. Lomnicki Two-Terminal Series-Parallel Networks 109--150 R. K. Milne and M. Westcott Further Results for Gauss--Poisson Processes . . . . . . . . . . . . . . . 151--176 Mark Brown Low Density Traffic Streams . . . . . . 177--192 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Harry Kesten Limit Theorems for Stochastic Growth Models. I . . . . . . . . . . . . . . . 193--232 Denis Mollison Possible Velocities for a Simple Epidemic . . . . . . . . . . . . . . . . 233--257 E. Arjas On a Fundamental Identity in the Theory of Semi-Markov Processes . . . . . . . . 258--270 E. Arjas On the Use of a Fundamental Identity in the Theory of Semi-Markov Queues . . . . 271--284 Sidney I. Resnick Stability of Maxima of Random Variables Defined on a Markov Chain . . . . . . . 285--295 T. K. M. Wisniewski Bivariate Stationary Point Processes, Fundamental Relations and First Recurrence Times . . . . . . . . . . . . 296--317 Mats Rudemo Doubly Stochastic Poisson Processes and Process Control . . . . . . . . . . . . 318--338 J. W. Cohen The Suprema of the Actual and Virtual Waiting Times during a Busy Cycle of the K$_m$ /K$_n$ /1 Queueing System . . . . 339--356 Douglas P. Kennedy Rates of Convergence for Queues in Heavy Traffic. I . . . . . . . . . . . . . . . 357--381 Douglas P. Kennedy Rates of Convergence for Queues in Heavy Traffic. II: Sequences of Queueing Systems . . . . . . . . . . . . . . . . 382--391 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Harry Kesten Limit Theorems for Stochastic Growth Models. II . . . . . . . . . . . . . . . 393--428 M. P. Quine The Multitype Galton--Watson Process with $ \rho $ near $1$ . . . . . . . . . 429--452 Robert Fildes An Age Dependent Branching Process with Variable Lifetime Distribution . . . . . 453--474 Ilan Eshel Evolution Processes with Continuity of Types . . . . . . . . . . . . . . . . . 475--507 G. Matheron Ensembles Fermés Aléatoires, Ensembles Semi-Markoviens et Poly\`edres Poissoniens. (French) [Random Closed Sets, Semi-Markov Sets and Poissonian Polyhedra] . . . . . . . . . . . . . . . 508--541 Shaler Stidham, Jr. Regenerative Processes in the Theory of Queues, with Applications to the Alternating-Priority Queue . . . . . . . 542--577 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Anonymous [Introduction] . . . . . . . . . . . . . 1--1 E. Arjas and T. P. Speed A Stopping Problem in Markov Additive Processes . . . . . . . . . . . . . . . 2--3 A. A. Balkema and L. De Haan Limit Laws for $ f(X_n) $, $f$ Non-Decreasing . . . . . . . . . . . . . 4--5 N. H. Bingham Maxima of Partial Sums of Random Variables and Suprema of Stable Processes . . . . . . . . . . . . . . . 5--6 Mark Brown Statistical Inference for Stochastic Processes . . . . . . . . . . . . . . . 6--8 J. W. Cohen Asymptotic Relations in Queueing Theory 8--9 Herman Callaert and Julian Keilson On Exponential Ergodicity and Spectral Structure for Birth--Death Processes . . 9--11 Jos H. A. De Smit Recent Results for Many Server Queues 11--12 Donald L. Iglehart Weak Convergence in Applied Probability 12--13 Peter Jagers and Torgny Lindvall Three Theorems on the Thinning of Point Processes . . . . . . . . . . . . . . . 14--15 J. H. B. Kemperman On Poisson Type Stationary Mass Distributions in $ R^n $ . . . . . . . . 16--16 Jacqueline Loris-Teghem An Algebraic Approach to Some Waiting Time Problems . . . . . . . . . . . . . 16--17 Richard Morton Optimal Control of Stationary Markov Processes . . . . . . . . . . . . . . . 18--19 N. U. Prabhu Further Results on Wiener--Hopf Factorization . . . . . . . . . . . . . 19--20 Sidney I. Resnick and Michael Rubinovitch The Structure of Extremal Processes . . 21--22 P. B. M. Roes Two Finite Queues and Their Duals . . . 22--24 Manfred Schäl Dynamic Programming under Continuity and Compactness Assumptions . . . . . . . . 24--25 F. W. Steutel Some Recent Results in Infinite Divisibility . . . . . . . . . . . . . . 25--27 Ryszard Syski Examples of Martin Boundary . . . . . . 27--29 Jozef L. Teugels Regular Variation in Renewal and Markov Renewal Theory . . . . . . . . . . . . . 30--31 Edward C. Van Der Meulen Multi-Terminal Communication Channels 32--33 Pierre Van Moerbeke On Optimal Stopping and Free Boundary Problems . . . . . . . . . . . . . . . . 33--35 Wim Vervaat Success Epochs in a Sequence of Bernoulli Trials . . . . . . . . . . . . 35--36 Norman Kaplan A Continuous Time Markov Branching Model with Random Environments . . . . . . . . 37--54 Ilan Eshel Evolution in Diploid Populations with Continuity of Gametic Types . . . . . . 55--65 J. F. C. Kingman Homecomings of Markov Processes . . . . 66--102 P. L. Davies Everywhere Irregularity of Certain Classes of Random Processes with Stationary Gaussian Increments . . . . . 103--118 D. J. Scott Central Limit Theorems for Martingales and for Processes with Stationary Increments Using a Skorokhod Representation Approach . . . . . . . . 119--137 S. G. Ghurye and I. Olkin Identically Distributed Linear Forms and the Normal Distribution . . . . . . . . 138--152 J. H. A. De Smit Some General Results for Many Server Queues . . . . . . . . . . . . . . . . . 153--169 J. H. A. De Smit On the Many Server Queue with Exponential Service Times . . . . . . . 170--182 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Karlin and Norman Kaplan Criteria for Extinction of Certain Population Growth Processes with Interacting Types . . . . . . . . . . . 183--199 S. Leigh Phoenix and Howard M. Taylor The Asymptotic Strength Distribution of a General Fiber Bundle . . . . . . . . . 200--216 A. M. Walker On the Estimation of a Harmonic Component in a Time Series with Stationary Dependent Residuals . . . . . 217--241 C. J. Preston Generalized Gibbs States and Markov Random Fields . . . . . . . . . . . . . 242--261 Mats Rudemo Point Processes Generated by Transitions of Markov Chains . . . . . . . . . . . . 262--286 Sidney I. Resnick and Michael Rubinovitch The Structure of Extremal Processes . . 287--307 A. J. Stam Regular Variation of the Tail of a Subordinated Probability Distribution 308--327 John Bather Optimal Decision Procedures for Finite Markov Chains. Part I: Examples . . . . 328--339 Rajat K. Deb and Richard F. Serfozo Optimal Control of Batch Service Queues 340--361 Jerome Senturia and Prem S. Puri A Semi-Markov Storage Model . . . . . . 362--378 Stig I. Rosenlund On the Length and Number of Served Customers of the Busy Period of a Generalised M/G/1 Queue with Finite Waiting Room . . . . . . . . . . . . . . 379--389 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
H. Hering Asymptotic Behaviour of Immigration-Branching Processes with General Set of Types. I: Critical Branching Part . . . . . . . . . . . . . 391--416 Stuart P. Lloyd An Index of Genealogical Relatedness . . 417--438 G. Matheron The Intrinsic Random Functions and Their Applications . . . . . . . . . . . . . . 439--468 Robert B. Davies Asymptotic Inference in Stationary Gaussian Time-Series . . . . . . . . . . 469--497 D. J. Emery Exit Problem for a Spectrally Positive Process . . . . . . . . . . . . . . . . 498--520 John Bather Optimal Decision Procedures for Finite Markov Chains. Part II: Communicating Systems . . . . . . . . . . . . . . . . 521--540 John Bather Optimal Decision Procedures for Finite Markov Chains. Part III: General Convex Systems . . . . . . . . . . . . . . . . 541--553 N. H. Bingham Limit Theorems in Fluctuation Theory . . 554--569 Donald L. Iglehart Weak Convergence in Queueing Theory . . 570--594 Donald L. Iglehart and Austin J. Lemoine Approximations for the Repairman Problem with Two Repair Facilities, I: No Spares 595--613 N. B. Slater and T. C. T. Kotiah The Steady State of a Multi-Server Mixed Queue . . . . . . . . . . . . . . . . . 614--631 Anonymous Volume Information . . . . . . . . . . . 632--633 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
M. G. Bulmer A Model for Character Displacement Based on Competition between Species . . . . . 1--3 C. Cannings Genetic Drift with Polygamy and Arbitrary Offspring Distribution . . . . 3--4 Brian Charlesworth The Hardy--Weinberg Law with Overlapping Generations . . . . . . . . . . . . . . 4--6 R. N. Curnow Selecting Crosses Using Information from a Diallel Cross . . . . . . . . . . . . 6--7 D. Y. Downham Models of Clines . . . . . . . . . . . . 7--10 A. W. F. Edwards On Kimura's Maximum Principle in the Genetical Theory of Natural Selection 10--13 William G. Hill Linkage Disequilibrium between Neutral Genes in Finite Populations . . . . . . 13--15 Jean Morissette and Cedric A. B. Smith The Hardy--Weinberg Law and Inbreeding 15--17 A. Robertson The Validity of the Optimum Model . . . 17--18 Curtis Strobeck Outcrossing and Heterozygosity . . . . . 18--20 Andrew D. Barbour On a Functional Central Limit Theorem for Markov Population Processes . . . . 21--39 P. Mandl Estimation and Control in Markov Chains 40--60 Erhan Çinlar Periodicity in Markov Renewal Theory . . 61--78 Bert Fristedt and David Heath Searching for a Particle on the Real Line . . . . . . . . . . . . . . . . . . 79--102 D. V. Little A Third Note on Recent Research in Geometrical Probability . . . . . . . . 103--130 J. Aczél and B. Forte and C. T. Ng Why the Shannon and Hartley Entropies Are `Natural' . . . . . . . . . . . . . 131--146 Donald L. Iglehart and Austin J. Lemoine Approximations for the Repairman Problem with Two Repair Facilities, II: Spares 147--158 Austin J. Lemoine Limit Theorems for Generalized Single Server Queues . . . . . . . . . . . . . 159--174 Ward Whitt The Continuity of Queues . . . . . . . . 175--183 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 185--186 Anonymous Introduction . . . . . . . . . . . . . . 187--187 M. S. Bartlett The Statistical Analysis of Spatial Pattern . . . . . . . . . . . . . . . . 188--190 V. E. Benes Composition and Invariance Methods for Solving Optimal Control Problems . . . . 190--191 W. J. Bühler On the Family Structure of Populations 192--193 H. E. Daniels An Approximation Technique for a Curved Boundary Problem . . . . . . . . . . . . 194--196 C. C. Heyde Limit Theory for Stationary Processes via Approximating Martingales . . . . . 196--197 J. Keilson Sojourn Times, Fluctuation and Rare Events; The Role of Jitter . . . . . . . 197--200 P. Ney Age-Dependent Branching Processes . . . 200--202 A. C. Offord The Application of Stochastic Processes in Function Theory . . . . . . . . . . . 202--205 B. Picinbono Properties and Applications of Stochastic Processes with Stationary Increments . . . . . . . . . . . . . . . 205--207 Michael Rubinovitch Queues with Random Service Output . . . 207--208 L. K. Schmetterer Problems of Group Theory Related to Probability Theory . . . . . . . . . . . 209--210 W. L. Smith Some Recent Work on Branching Processes in Random Environments . . . . . . . . . 210--212 E. Sparre Andersen Survey of Fluctuation Theory . . . . . . 213--214 Igor Bazovsky, Jr. On Generalizations of the Method of Stages to Ageing and Learning Phenomena 215--216 B. D. Craven The Spectral Density of a Markov Process 216--217 T. J. Ott Infinite Divisibility and Stability of Finite Semi-Markov Matrices . . . . . . 217--218 Bruce W. Turnbull An Inequality for the Total Flow in a Dam with Non-Markovian Inputs . . . . . 218--219 J.-P. Caubet Dirac Equation and Dynamics of Brownian Motion . . . . . . . . . . . . . . . . . 219--219 R. Coleman Nearest Neighbour Distances for Equilibrium Renewal Processes . . . . . 220--220 J. J. Hunter Renewal Theory in Two Dimensions . . . . 220--221 M. Jacobsen A Decomposition Result for Diffusions 222--223 J. W. Pitman One-Dimensional Brownian Motion and the Three-Dimensional Bessel Process . . . . 223--224 P. B. M. Roes Variance at Variance in Eddy Diffusion 224--225 D. J. Daley and D. Oakes Random Walk Point Processes . . . . . . 225--226 R. K. Milne Infinitely Divisible Bivariate Poisson Processes . . . . . . . . . . . . . . . 226--227 M. Westcott Asymptotic Results for Poisson Cluster Processes . . . . . . . . . . . . . . . 227--228 A. Agresti Bounds on the Extinction Time Distributions of Some Branching Processes . . . . . . . . . . . . . . . 228--229 N. H. Bingham and R. A. Doney Asymptotic Properties of the Supercritical Galton--Watson Process . . 229--230 Miloslav Jirina Breakage Mechanisms Branching Processes 230--230 T. Lindvall Almost Sure Convergence of Galton--Watson Branching Processes in Varying and Random Environments . . . . 231--231 W. A. O'N. Waugh Age Distribution in Some Size-Dependent Populations . . . . . . . . . . . . . . 232--232 C. Cannings The Latent Roots of Some Genetic Drift Models . . . . . . . . . . . . . . . . . 232--233 D. Mollison Percolation Processes and Tumour Growth 233--235 C. Rossi Stochastic Model of Gene Decay . . . . . 236--236 P. Tautu Random Systems of Locally Interacting Cells . . . . . . . . . . . . . . . . . 237--237 Trevor Williams Evidence for Super-Critical Tumour Growth . . . . . . . . . . . . . . . . . 237--238 A. J. Woods Epidemic Models in Non-Homogeneous Populations . . . . . . . . . . . . . . 239--239 A. M. Walker A Property of Asymptotic Least Squares Estimates for Moving Average Processes 239--240 A. Gut Limit Theorems for Some First Passage Times . . . . . . . . . . . . . . . . . 241--242 N. Keiding Maximum Likelihood Estimation in the Birth-and-Death Process . . . . . . . . 242--244 J. H. B. Kemperman and J. C. Smit Sharp Upper and Lower Bounds for the Moments of a Martingale . . . . . . . . 244--245 A. G. P. M. Nijst Propagation of Sufficiency and Minimal Sufficiency in Stochastic Processes . . 245--247 S. Resnick Extremal Processes and Record Value Times . . . . . . . . . . . . . . . . . 247--248 N. A. Cressie A Two-Dimensional Random Walk in the Presence of a Partially Reflecting Barrier . . . . . . . . . . . . . . . . 248--249 D. P. Kennedy Random Walks Conditioned on the Proportion of Time Spent on the Positive Half-Line . . . . . . . . . . . . . . . 250--250 M. Rudemo Conditional Probability Distributions for Partially Observed Markov Chains . . 250--251 R. Syski On Keilson's Compensation Method . . . . 251--252 J. W. Cohen Some Remarks on Stationary Distributions for the GI/G/1 Queue . . . . . . . . . . 252--253 J. H. A. De Smit The Many Server Queue in Discrete Time 253--253 N. Hadidi A Basically Poisson Queue with Non-Poisson Output . . . . . . . . . . . 254--255 P. Le Gall Stochastic Integral Equations Applied to Telecommunications Traffic without Delay 255--257 D. G. Tambouratzis Properties of Waiting Times of Queues under Various Queue Disciplines . . . . 257--258 E. J. Vanderperre A Non-Homogeneous Hilbert Problem with Applications to Queueing Theory . . . . 258--259 C. Cannings The Latent Roots of Certain Markov Chains Arising in Genetics: A New Approach, I. Haploid Models . . . . . . 260--290 Robert Fildes An Age Dependent Branching Process with Variable Lifetime Distribution: The Generation Size . . . . . . . . . . . . 291--308 Torgny Lindvall Limit Theorems for Some Functionals of Certain Galton--Watson Branching Processes . . . . . . . . . . . . . . . 309--321 Alan Agresti Bounds on the Extinction Time Distribution of a Branching Process . . 322--335 M. S. Bartlett The Statistical Analysis of Spatial Pattern . . . . . . . . . . . . . . . . 336--358 Meyer Dwass Poisson Process and Distribution-Free Statistics . . . . . . . . . . . . . . . 359--375 Jeffrey J. Hunter Renewal Theory in Two Dimensions: Basic Results . . . . . . . . . . . . . . . . 376--391 Sidney I. Resnick Inverses of Extremal Processes . . . . . 392--405 Anonymous Back Matter . . . . . . . . . . . . . . ??
Anonymous [Introduction] . . . . . . . . . . . . . 407--407 E. Seneta Regularly Varying Functions in the Theory of Simple Branching Processes . . 408--420 C. C. Heyde On Estimating the Variance of the Offspring Distribution in a Simple Branching Process . . . . . . . . . . . 421--433 Peter Ney Critical Branching Processes . . . . . . 434--445 Edward Pollak Survival Probabilities and Extinction Times for Some Multitype Branching Processes . . . . . . . . . . . . . . . 446--462 G. A. Watterson The Sampling Theory of Selectively Neutral Alleles . . . . . . . . . . . . 463--488 A. C. Trajstman On a Conjecture of G. A. Watterson . . . 489--493 Andris Abakuks Optimal Immunisation Policies for Epidemics . . . . . . . . . . . . . . . 494--511 B. Picinbono Properties and Applications of Stochastic Processes with Stationary $n$ th-Order Increments . . . . . . . . . . 512--523 P. M. Robinson Stochastic Difference Equations with Non-Integral Differences . . . . . . . . 524--545 Jeffrey J. Hunter Renewal Theory in Two Dimensions: Asymptotic Results . . . . . . . . . . . 546--562 G. Matheron Hyperplans poissoniens et compacts de Steiner. (French) [Poissonian hyperplanes and Steiner compacts] . . . 563--579 R. W. Shorrock On Discrete Time Extremal Processes . . 580--592 Sheldon M. Ross Dynamic Programming and Gambling Models 593--606 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
H. E. Daniels The Maximum Size of a Closed Epidemic 607--621 R. Morton and K. H. Wickwire On the Optimal Control of a Deterministic Epidemic . . . . . . . . . 622--635 P. A. Jacobs Functionals of an Infinite Particle System with Independent Motions, Creation, and Annihilation . . . . . . . 636--650 David C. Heath and William D. Sudderth Continuous-Time Gambling Problems . . . 651--665 R. Schassberger A Broad Analysis of Single Server Priority Queues with Two Independent Input Streams, One of Them Poisson . . . 666--688 M. J. Faddy Optimal Control of Finite Dams: Continuous Output Procedure . . . . . . 689--710 N. H. Bingham and R. A. Doney Asymptotic Properties of Supercritical Branching Processes I: The Galton--Watson Process . . . . . . . . . 711--731 B. D. Craven Asymptotic Rate of a Markov Process . . 732--746 J. Keilson Sojourn Times, Exit Times and Jitter in Multivariate Markov Processes . . . . . 747--756 R. K. Getoor Some Remarks on a Paper of Kingman . . . 757--767 Marek Kanter and W. L. Steiger Regression and Autoregression with Infinite Variance . . . . . . . . . . . 768--783 Anonymous Volume Information . . . . . . . . . . . 784--786 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Bengt Olle Bengtsson The Increase of Balanced Chromosome Mutations in Mammalian Populations . . . 1--3 C. Cannings Drift in Haploid Models . . . . . . . . 4--5 Brian Charlesworth and John A. Williamson The Chance of Survival of an Advantageous Mutant in an Age-Structured Population . . . . . . . . . . . . . . . 5--7 Marcus W. Feldman and Ian Franklin and Glenys J. Thomson Selection with Three Loci . . . . . . . 7--8 John Haigh Game Theory and Evolution . . . . . . . 8--11 William G. Hill Artificial Selection in Populations with Overlapping Generations . . . . . . . . 11--14 John Rostron A Non-Linear Function for Maximizing the Parent-Offspring Regression . . . . . . 14--16 Cedric A. B. Smith and Atam Vetta Assortative Mating . . . . . . . . . . . 16--18 Jon Stene Sampling of Pedigrees . . . . . . . . . 18--23 Curtis Strobeck The Two Locus Model with Different Recombination Values in the Two Sexes 23--26 E. A. Thompson Multiple Gene Identities . . . . . . . . 26--27 Andrew D. Barbour The Asymptotic Behaviour of Birth and Death and Some Related Processes . . . . 28--43 M. Aksland A Birth, Death and Migration Process with Immigration . . . . . . . . . . . . 44--60 Inge S. Helland The Condition for Extinction with Probability One in a Birth, Death and Migration Process . . . . . . . . . . . 61--65 N. H. Bingham and R. A. Doney Asymptotic Properties of Super-Critical Branching Processes II: Crump-Mode and Jirina Processes . . . . . . . . . . . . 66--82 Odile Macchi The Coincidence Approach to Stochastic Point Processes . . . . . . . . . . . . 83--122 Richard F. Serfozo Functional Limit Theorems for Stochastic Processes Based on Embedded Processes 123--139 David A. Swick Asymptotic Distribution of a Discrete Transform of an Arbitrarily Sampled Homogeneous Random Field . . . . . . . . 140--153 N. U. Ahmed and K. L. Teo Optimal Control of Stochastic Ito Differential Systems with Fixed Terminal Time . . . . . . . . . . . . . . . . . . 154--178 David Griffeath Ergodic Theorems for Graph Interactions 179--194 Gary Lee Guthrie and Paul T. Holmes On Record and Inter-Record Times for a Sequence of Random Variables Defined on a Markov Chain . . . . . . . . . . . . . 195--214 A. L. Truslove Queue Length for the E$_k$ /G/1 Queue with Finite Waiting Room . . . . . . . . 215--226 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 227--228 Anonymous Introduction . . . . . . . . . . . . . . 229--229 Erhan Çinlar On the Structure of Semi-Markov Processes . . . . . . . . . . . . . . . 230--230 D. A. Dawson Quasi-Deterministic States for Markov Systems . . . . . . . . . . . . . . . . 231--232 J. Gani Some Stochastic Models in Linguistic Analysis . . . . . . . . . . . . . . . . 232--234 C. C. Heyde Martingale Methods in Estimation Theory 234--236 Donald L. Iglehart Conditioned Limit Theorems for Random Walks . . . . . . . . . . . . . . . . . 237--237 Antole Joffe Random Variables Indexed by a Tree . . . 237--238 Marcel F. Neuts Algorithmic Solutions of Queueing Problems . . . . . . . . . . . . . . . . 238--239 Ronald Pyke Brownian Sheets: A Survey . . . . . . . 239--240 Sidney I. Resnick Extremal Processes . . . . . . . . . . . 241--241 Lajos Takács Combinatorial and Analytic Methods in the Theory of Queues . . . . . . . . . . 241--241 Wim Vervaat Strassen's Iterated Logarithm Law for Hilbert Space Valued Random Variables 242--244 C. André Two-Person Stopping Games . . . . . . . 244--246 J. Kuelbs The Law of the Iterated Logarithm for Banach Space Valued Random Variables . . 246--247 D. L. McLeish A Generalization of Martingales and Mixing Sequences . . . . . . . . . . . . 247--249 Murad Taqqu Weak Convergence to Fractional Brownian Motion and to the Rosenblatt Process . . 249--249 J. L. Teugels and N. Veraverbeke On the Approach to the Limit of Successive Maxima of Partial Sums . . . 249--250 W. G. Doubleday Weak Convergence of Galton--Watson Processes . . . . . . . . . . . . . . . 250--251 S. D. Durham An Optimal Branching Migration Process 251--251 P. D. M. Macdonald Some Asymptotic Results for Multiphase Branching Processes . . . . . . . . . . 251--251 T. H. Savits Applications for Space-Time Harmonic Functions to Branching Processes . . . . 251--252 J. H. Abbott Variations on the Three Series Theorem 252--252 A. A. Balkema Invariance Properties for Weak Limits under Monotone Transformations . . . . . 252--253 J. H. B. Kemperman The Ergodic Behavior of a Class of Transformations including the a(tan x)+b Function . . . . . . . . . . . . . . . . 254--254 R. Syski Energy of Markov Chains . . . . . . . . 254--255 A. Mukherjea Random Walks on Semigroups . . . . . . . 255--256 Teunis J. Ott Infinite Divisibility and Inbeddability of Semi-Markov Matrices on Certain Topological Groups . . . . . . . . . . . 256--257 F. W. Steutel Simple Tools in Finite and Infinite Divisibility . . . . . . . . . . . . . . 257--259 Stephen E. Fienberg Stochastic Models for Single Neuron Firing Trains: A Survey . . . . . . . . 259--260 Irving I. Gringorten On the Use of Stochastic Models of Simultaneous Critical Weather Conditions in an Area . . . . . . . . . . . . . . . 260--261 P. H. Peskun Guidelines for Choosing the Transition Matrix in Monte Carlo Sampling Methods Using Markov Chains . . . . . . . . . . 261--261 P. Tautu A Stochastic Approach to the French Flag Problem . . . . . . . . . . . . . . . . 262--263 C. Cannings The Latent Roots of Certain Markov Chains Arising in Genetics: A New Approach, II. Further Haploid Models . . 264--282 Thomas H. Savits Space-Time Harmonic Functions and Age-Dependent Branching Processes . . . 283--298 V. E. Benes Composition and Invariance Methods for Solving Some Stochastic Control Problems 299--329 Ulrich Rieder Bayesian Dynamic Programming . . . . . . 330--348 Richard J. Kryscio and Norman C. Severo Computational and Estimation Procedures in Multidimensional Right-Shift Processes and Some Applications . . . . 349--382 John F. Reynolds The Covariance Structure of Queues and Related Processes: A Survey of Recent Work . . . . . . . . . . . . . . . . . . 383--415 A. L. Truslove The Busy Period of the E$_k$ /G/1 Queue with Finite Waiting Room . . . . . . . . 416--430 Seymour M. Kwerel Bounds on the Probability of the Union and Intersection of $m$ Events . . . . . 431--448 Anonymous Back Matter . . . . . . . . . . . . . . ??
Roger Mead and Peter Diggle and Susannah Brown and Philip Holgate and Peter Clifford and Keith Ord and Howard Ross-Parker and Julian Besag and David Ford and Ronald Martin and Neil Arnason and Denis Mollison and Eric Renshaw Conference on Spatial Processes . . . . 449--460 D. R. Appleton and H. E. Daniels and Tony Woods and Kevin Gough and John Steele and Rex Howell and Peter J. Diggle and Peter Clifford and Byron Morgan and Chris Preston and Joel E. Cohen Conference on Stochastic Models in Space and Time . . . . . . . . . . . . . . . . 461--467 H. Hering Asymptotic Behaviour of Immigration-Branching Processes with General Set of Types. II: Supercritical Branching Part . . . . . . . . . . . . . 468--494 Carla Lipow A Branching Model with Population Size Dependence . . . . . . . . . . . . . . . 495--510 James W. Pitman One-Dimensional Brownian Motion and the Three-Dimensional Bessel Process . . . . 511--526 James H. Gilchrist and John B. Thomas A Shot Process with Burst Properties . . 527--541 D. A. Evans and K. R. Clarke Estimation of Embedded Particle Properties from Plane Section Intercepts 542--560 M. Frank Norman Limit Theorems for Stationary Distributions . . . . . . . . . . . . . 561--575 Bent Natvig On the Input and Output Processes for a General Birth-and-Death Queueing Model 576--592 Allan H. Marcus Some Exact Distributions in Traffic Noise Theory . . . . . . . . . . . . . . 593--606 Lajos Takács Combinatorial and Analytic Methods in the Theory of Queues . . . . . . . . . . 607--635 John Dagsvik The General Bulk Queue as a Matrix Factorisation Problem of the Wiener--Hopf Type. Part I . . . . . . . 636--646 John Dagsvik The General Bulk Queue as a Matrix Factorisation Problem of the Wiener--Hopf Type. Part II . . . . . . . 647--655 John H. Rath Controlled Queues in Heavy Traffic . . . 656--671 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Trevor Lewis A Model for the Parasitic Disease Bilharziasis . . . . . . . . . . . . . . 673--704 N. H. Bingham Fluctuation Theory in Continuous Time 705--766 Priscilla Greenwood Wiener--Hopf Methods, Decompositions, and Factorisation Identities for Maxima and Minima of Homogeneous Random Processes . . . . . . . . . . . . . . . 767--785 Béla Gyires On an Extension of a Theorem of Linnik and Zinger . . . . . . . . . . . . . . . 786--800 John Rice Estimated Factorisation of the Spectral Density of a Stationary Point Process 801--817 R. E. Miles Direct Derivations of Certain Surface Integral Formulae for the Mean Projections of a Convex Set . . . . . . 818--829 Lajos Takács A Storage Process with Semi-Markov Input 830--844 P. Brémaud Estimation de l'état d'une file d'attente et du temps de panne d'une machine par la méthode de semi-martingales. (French) [Estimating the state of a queue, and the downtime of a machine by the method of semi-martingales] . . . . . . . . . . 845--863 J. M. Pollard Combinatorial Properties of a Queueing System with Limited Availability . . . . 864--877 Anonymous Volume Information . . . . . . . . . . . 878--880 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
C. Cannings Multitype Drift Models . . . . . . . . . 1--2 Brian Charlesworth Recombination Modification in a Fluctuating Environment . . . . . . . . 2--4 D. Y. Downham and S. M. M. Shah A Sufficiency Condition for the Stability of an Equilibrium . . . . . . 4--7 Christa M. Fielden Inbreeding Coefficients Derived from the Plenary Pedigree . . . . . . . . . . . . 7--10 William G. Hill Linkage Disequilibrium among Neutral Mutant Alleles in Finite Population . . 10--12 R. W. Hiorns and J. Kirby and G. A. Harrison Selective Out-Migration: The Genetic Effects in Human Populations . . . . . . 12--15 P. Holgate The Total Number of Heterozygotes before Fixation . . . . . . . . . . . . . . . . 15--16 Jesús Alberto León Selection and Senescence: A Variational Approach . . . . . . . . . . . . . . . . 17--19 A. Robertson Variation in Gene Frequency over Populations as a Test for Natural Selection . . . . . . . . . . . . . . . 19--20 J. Rostron A Multivariate Study of the Genetics of Dermal Ridges . . . . . . . . . . . . . 20--22 C. F. Sing and E. D. Rothman A Consideration of the Chi-Square Test of Hardy--Weinberg Equilibrium in a Non-Multinomial Situation . . . . . . . 22--23 J. Stene Analysis of Panmixia Based on Human Family Data . . . . . . . . . . . . . . 24--27 Curtis Strobeck The Algebra of Recombination . . . . . . 27--29 Byron J. T. Morgan Stochastic Models of Grouping Changes 30--57 Harry Kesten Recurrence Criteria for Multi-Dimensional Markov Chains and Multi-Dimensional Linear Birth and Death Processes . . . . . . . . . . . . . . . 58--87 John M. Holte A Generalization of Goldstein's Comparison Lemma and the Exponential Limit Law in Critical Crump--Mode--Jagers Branching Processes 88--104 Jean-Guy Dion Sur une caractérisation des vidanges fortes. (French) [On a characterization of strong drains] . . . . . . . . . . . 105--126 Philip C. Prorok The Theory of Periodic Screening I: Lead Time and Proportion Detected . . . . . . 127--143 John Bather Optimal Stationary Policies for Denumerable Markov Chains in Continuous Time . . . . . . . . . . . . . . . . . . 144--158 D. R. Robinson Markov Decision Chains with Unbounded Costs and Applications to the Control of Queues . . . . . . . . . . . . . . . . . 159--176 Rajat K. Deb Optimal Control of Batch Service Queues with Switching Costs . . . . . . . . . . 177--194 Stig. I. Rosenlund Busy Periods in Time-Dependent M/G/1 Queues . . . . . . . . . . . . . . . . . 195--208 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 209--210 Anonymous Introduction . . . . . . . . . . . . . . 211--212 J. A. Bather A Control Chart Model and a Generalised Stopping Problem for Brownian Motion . . 213--215 A. T. Bharucha-Reid Algebraic Models for Probability Measures on Banach Spaces . . . . . . . 215--217 C. L. Chiang and J. P. Hsu On Multiple Transition Probabilities . . 217--219 J. Keilson The Structure of Transient Distribution Functions for Time-Shared Computer Systems . . . . . . . . . . . . . . . . 219--219 M. R. Leadbetter Point Processes: A Non-Topological View 219--221 Lajos Takács On Fluctuation Problems in the Theory of Queues . . . . . . . . . . . . . . . . . 221--222 Grace Wahba The Approximate Solution of Linear Operator Equations When the Data Are Noisy . . . . . . . . . . . . . . . . . 222--223 George H. Weiss The Shot Noise Representation for Noise for a Free Traffic Stream . . . . . . . 224--225 Alan F. Karr Lévy Random Measures . . . . . . . . . . 225--226 Douglas R. Miller and F. Dennis Sentilles A Note on the Extension and Weak Convergence of Some Probability Measures 226--226 F. W. Steutel and K. Van Harn Interpolating between the Compound-Geometric and Compound-Poisson Distributions . . . . . . . . . . . . . 227--228 Vincenzo Capasso A Semigroup Approach to the Study of a General Stochastic Epidemic . . . . . . 228--229 Robert D. Small A Non-Markovian Population Growth Model with a Finite Limit Distribution and Bounded Variance . . . . . . . . . . . . 229--230 Jean-Pierre Caubet Relativistic Brownian Motion . . . . . . 230--231 Göran Högnäs Random Walks on Compact Semigroups . . . 231--232 Miloslav Jirina Extinction of Non-Homogeneous Galton--Watson Processes . . . . . . . . 233--233 Benjamin Lepson Statistical Fluctuations of Energy Losses of Charged Particles Passing through Matter . . . . . . . . . . . . . 233--234 Teunis J. Ott The Covariance Function of Brownian Motion with Drift, Made Ergodic by a Reflecting Boundary . . . . . . . . . . 234--235 George H. Weiss and Robert J. Rubin The Ordered Spans of a Random Walk . . . 236--237 Larry George Simulation of a Replacement Process and Complimentary Antithetic Variates . . . 237--238 Benjamin Lepson Bounds for Skewness and Improved Moment Inequalities for Unimodal Distributions 238--239 Domokos Szász Renewal Theory and Multicomponent Reliability Systems . . . . . . . . . . 239--240 H. P. Edmundson Statistical Estimation of the Inverse of a Matrix . . . . . . . . . . . . . . . . 240--241 G. Farlay Optimal Stochastic Control in Terms of Martingales . . . . . . . . . . . . . . 241--241 Percy H. Brill A New Methodology for Modelling a Broad Class of Exponential Queues . . . . . . 242--242 Albert M. Liebetrau Tests of Randomness Derived from an Estimator of the Variance-Time Curve of a Weakly Stationary Point Process . . . 242--242 J. H. A. De Smit A Probabilistic Approach to Pollaczek's Integral Equations for the Many-Server Queue . . . . . . . . . . . . . . . . . 243--243 L. Kosten Dynamic Behaviour of a Multi-Entry Buffer . . . . . . . . . . . . . . . . . 243--244 Paul Schweitzer Buffer Overflow Probabilities Using an Infinite-Capacity Model . . . . . . . . 244--244 D. McDonald Extensions to the Renewal Theorem . . . 245--245 R. Schassberger On the Limiting Distribution of Generalized Semi-Markov Processes . . . 245--246 R. Syski On Last-Exit Time Distribution . . . . . 246--247 P. Todorovic On the Structure of the Radon--Nikodym Derivative for a Markov Process . . . . 247--248 J. Wessels Markov Programming by Successive Approximations with Respect to Weighted Supremum Norms . . . . . . . . . . . . . 248--249 M. N. Gopalan and P. Venkatachalam Probabilistic Analysis of a Two-Server $n$-Unit System Subject to Preventive Maintenance and Repair . . . . . . . . . 249--250 Nasser Hadidi Appointment Scheme as Compared to Random Service and Arrival Times from Specific Distributions . . . . . . . . . . . . . 250--252 Marcel F. Neuts Algorithms for Waiting-Time Distributions under Various Queue Disciplines in the M/G/1 Queue with a Service-Time Distribution of Phase Type 252--252 R. T. Smythe Multiparameter Subadditive Processes . . 252--254 Anonymous Symposium on Statistical Techniques . . 254--256 V. I. Kryukov Wald's Identity and Random Walk Models for Neuron Firing . . . . . . . . . . . 257--277 Michael Sze Markov Processes Associated with Critical Galton--Watson Processes with Application to Extinction Probabilities 278--295 Andrew D. Barbour Quasi-Stationary Distributions in Markov Population Processes . . . . . . . . . . 296--314 Martha J. Siegel The Asymptotic Behavior of a Divergent Linear Birth and Death Process . . . . . 315--338 W. Dunsmuir and E. J. Hannan Vector Linear Time Series Models . . . . 339--364 P. Whittle and J. F. Rudge Simultaneous Communication and Control 365--384 P. Brémaud Bang--Bang Controls of Point Processes 385--394 D. J. Daley Queueing Output Processes . . . . . . . 395--415 F. P. Kelly Networks of Queues . . . . . . . . . . . 416--432 Anonymous Back Matter . . . . . . . . . . . . . . ??
Gustav Feichtinger On the Generalization of Stable Age Distributions to Gani-Type Person-Flow Models . . . . . . . . . . . . . . . . . 433--445 J. D. Biggins The First- and Last-Birth Problems for a Multitype Age-Dependent Branching Process . . . . . . . . . . . . . . . . 446--459 Philip C. Prorok The Theory of Periodic Screening II: Doubly Bounded Recurrence Times and Mean Lead Time and Detection Probability Estimation . . . . . . . . . . . . . . . 460--476 David Mannion Random Packing of an Interval . . . . . 477--501 Harry Cohn Finite Non-Homogeneous Markov Chains: Asymptotic Behaviour . . . . . . . . . . 502--516 Cristina Gzyl Some Results about Markov Processes on Subsets of the State Space . . . . . . . 517--530 Esa Nummelin Limit Theorems for $ \alpha $-Recurrent Semi-Markov Processes . . . . . . . . . 531--547 Lajos Takács On Fluctuation Problems in the Theory of Queues . . . . . . . . . . . . . . . . . 548--583 Andrew D. Barbour Networks of Queues and the Method of Stages . . . . . . . . . . . . . . . . . 584--591 John Haslett The Control of a Multipurpose Reservoir 592--609 Anonymous Corrections to Prorok and Rosenlund . . 610--611 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. J. Avery The Effect of Random Environments on Selection Schemes in Populations of a Finite Size . . . . . . . . . . . . . . 613--616 D. T. Bishop and C. Cannings Models of Animal Conflict . . . . . . . 616--621 C. Cannings and E. A. Thompson and H. H. Skolnick The Recursive Derivation of Likelihoods on Complex Pedigrees . . . . . . . . . . 622--625 D. Y. Downham and S. M. M. Shah The Integral Equation Approach for Models of Clines . . . . . . . . . . . . 625--628 Christa M. Fielden Inbreeding: The Three-Locus Case . . . . 628--630 J. Hajnal The Absolute Numbers of Consanguineous Marriages . . . . . . . . . . . . . . . 630--635 William G. Hill Effect of Family Structure in Small Populations on Selection Differentials and Correlation of Relatives' Performance for Quantitative Traits . . 636--639 Jesús Alberto León and B. Charlesworth Ecological Versions of Fisher's Fundamental Theorem of Natural Selection 639--641 Cedric A. B. Smith Matrix Calculations of Genetic Probabilities . . . . . . . . . . . . . 641--643 Jon Stene A Model for Translocation Inheritance 643--645 S. Tavaré Sojourn Times for Conditioned Markov Chains in Genetics . . . . . . . . . . . 645--648 E. A. Thompson A Paradox of Genealogical Inference . . 648--650 D. J. Bartholomew and R. J. Bennett and Julian Besag and Don McNeil and Andrew D. Cliff and Keith Ord and Pierre Delfiner and Peter J. Diggle and R. F. Galbraith and D. Walley and S. Gregory and R. P. Haining and R. J. Johnston and R. Mead and Denis Mollison and S. Openshaw and Robin Sibson and R. W. Thomas and John Whitelegg and Neil Wrigley Conference on Patterns and Processes in the Plane . . . . . . . . . . . . . . . 651--658 Stanley Sawyer Branching Diffusion Processes in Population Genetics . . . . . . . . . . 659--689 Marcel F. Neuts Moment Formulas for the Markov Renewal Branching Process . . . . . . . . . . . 690--711 Paul David Feigin Maximum Likelihood Estimation for Continuous-Time Stochastic Processes . . 712--736 R. L. Tweedie Criteria for Classifying General Markov Chains . . . . . . . . . . . . . . . . . 737--771 Arie Hordijk and Donald L. Iglehart and Rolf Schassberger Discrete Time Methods for Simulating Continuous Time Markov Chains . . . . . 772--788 Robert J. Adler On Generalising the Notion of Upcrossings to Random Fields . . . . . . 789--805 B. W. Silverman Limit Theorems for Dissociated Random Variables . . . . . . . . . . . . . . . 806--819 Dag Tjòstheim On Random Processes That Are Almost Strict Sense Stationary . . . . . . . . 820--830 D. Tjòstheim Spectral Generating Operators for Non-Stationary Processes . . . . . . . . 831--846 Anonymous Volume Information . . . . . . . . . . . 847--850 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
D. J. Bartholomew Maintaining a Grade or Age Structure in a Stochastic Environment . . . . . . . . 1--17 Joel E. Cohen Ergodicity of Age Structure in Populations with Markovian Vital Rates. II. General States . . . . . . . . . . . 18--37 R. T. Smythe and John C. Wierman First-Passage Percolation on the Square Lattice. I . . . . . . . . . . . . . . . 38--54 P. Nash and J. C. Gittins A Hamiltonian Approach to Optimal Stochastic Resource Allocation . . . . . 55--68 J. W. Pitman Occupation Measures for Markov Chains 69--86 P. A. Jacobs and P. A. W. Lewis A Mixed Autoregressive-Moving Average Exponential Sequence and Point Process (EARMA 1, 1) . . . . . . . . . . . . . . 87--104 Vera Dufková On Controlled One-Dimensional Diffusion Processes with Unknown Parameter . . . . 105--124 B. W. Conolly and J. Chan Generalised Birth and Death Queueing Processes: Recent Results . . . . . . . 125--140 Marcel F. Neuts Some Explicit Formulas for the Steady-State Behavior of the Queue with Semi-Markovian Service Times . . . . . . 141--157 Teunis J. Ott The Covariance Function of the Virtual Waiting-Time Process in an M/G/1 Queue 158--168 Teunis J. Ott The Stable M/G/1 Queue in Heavy Traffic and Its Covariance Function . . . . . . 169--186 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 187--188 Anonymous Introduction . . . . . . . . . . . . . . 189--189 A. A. Balkema Norming Sequences for Partial Maxima . . 190--190 J. W. Cohen On the Optimal Switching Level for an M/G/1 Queueing System . . . . . . . . . 191--191 H. E. Daniels The Advancing Wave in a Spatial Birth Process . . . . . . . . . . . . . . . . 191--192 J. H. A. De Smit Analytical and Numerical Methods for Many Server Queues . . . . . . . . . . . 192--193 Aryeh Dvoretzky Generalizations of Martingales . . . . . 193--194 Bert Fristedt Local Behavior of Stable Subordinators 194--195 Priscilla Greenwood and Moshe Shaked Fluctuation Theory for Multidimensional Processes and Applications to Diverse Storage Systems . . . . . . . . . . . . 195--195 C. C. Heyde On the Rate of Convergence in the Martingale Convergence Theorem . . . . . 196--196 J. Horowitz Occupation Times and Other Accumulation Processes . . . . . . . . . . . . . . . 196--197 Peter Jagers Branching Processes and Cell Proliferation: A Survey . . . . . . . . 197--197 F. P. Kelly Exact Results for the Moran Neutral Allele Model . . . . . . . . . . . . . . 197--201 Marcel F. Neuts Algorithms for the Steady-State Behavior of a Queueing Model Involving Several Types of Customers and Change-over Times 201--202 M. B. Priestley Applications of Multivariate Techniques in the Study of Multivariable Stochastic Systems . . . . . . . . . . . . . . . . 202--205 Herbert Robbins and John Whitehead Order Statistics and the Pólya urn Process . . . . . . . . . . . . . . . . 205--206 Gideon Schwarz Mutual Applications of Ergodic Theory and Stochastic Processes . . . . . . . . 206--207 R. Syski Ergodic Potential of a Markov Chain . . 207--208 S. J. Taylor The Asymmetric Cauchy Process . . . . . 208--208 R. L. Tweedie Criteria for Classifying General Markov Chains . . . . . . . . . . . . . . . . . 208--210 Moshe Zakai Stochastic Integrals in the Plane . . . 210--212 David Mejzler Limit Distributions for the Extreme Order Statistics . . . . . . . . . . . . 212--213 Wim Vervaat On a Stochastic Difference Equation . . 213--215 Frederick J. Beutler and Benjamin Melamed Decomposition and Customer Streams of Feedback Queueing Networks in Equilibrium . . . . . . . . . . . . . . 215--216 B. W. Conolly Recently Discovered Properties of Generalised Birth and Death State-Dependent Queueing Systems . . . . 216--217 Guy Latouche On the Trade-off between Queue Occupancy and Server's Reward . . . . . . . . . . 217--218 I. Elishakoff Random Vibrations of Orthotropic Plates Clamped or Simply Supported All round 218--219 Will Gersch ARMA Model Eigenvalues and an Amount of Information Measure Features for Automatic Classification of Multivariate EEG's . . . . . . . . . . . . . . . . . 219--219 Anatole Joffe Remark on a Paper by S. Litvin . . . . . 219--220 Varda Liberman and Uri Yechiali On the Hotel Overbooking Problem: An Inventory System with Stochastic Cancellations . . . . . . . . . . . . . 220--220 Neil Risch and Charles Louy Laplace Transforms for Residual Waiting Times with an Application in Genetics 221--222 K. Wickwire Optimal Immunisation Rules for an Epidemic with Recovery . . . . . . . . . 222--223 Donald Ornstein Mechanical Systems and Random Processes 223--224 Benjamin Weiss What Is a Random Sequence? . . . . . . . 224--224 T. Leviatan Functionals of Markov Processes . . . . 224--226 Robert J. Adler On Generalising the Notion of Upcrossings to Random Fields . . . . . . 226--227 R. A. Horn and F. W. Steutel Some Results for Infinitely Divisible Distributions in $n$ Variables . . . . . 227--227 Jean-François Mertens and Shmuel Zamir The Maximal Variation of a Bounded Martingale . . . . . . . . . . . . . . . 228--228 Helmut Pruscha and Radu Theodorescu Functions of Event Variables of a Random System with Complete Connections . . . . 228--229 Charles M. Newman and B. W. Stuck Discriminating between Two Markov Processes . . . . . . . . . . . . . . . 229--230 Bo Ranneby How to Prove Strong Consistency of Maximum Likelihood Estimates . . . . . . 230--230 Itzhak Ravid Confidence Intervals and Acceptance Tests . . . . . . . . . . . . . . . . . 231--231 Reuven Meidan A Generalized Karhunen--Lo\`eve Expansion . . . . . . . . . . . . . . . 231--232 Emanuel Parzen Isomorphism between Time Series Analysis and Non-Parametric Statistical Inference 232--233 K. M. Van Hee and J. Wessels Strongly Excessive Functions in Markov Decision Theory . . . . . . . . . . . . 233--235 H. C. P. Berbee A Limit Theorem for the Superposition of Renewal Processes . . . . . . . . . . . 235--236 Torgny Lindvall A Probabilistic Proof of Blackwell's Renewal Theorem . . . . . . . . . . . . 236--236 P. Todorovic On the Structure of the Radon--Nikodym Derivate for a Point Process . . . . . . 237--237 Peter L. Antonelli and Curtis Strobeck The Geometry of Random Drift I. Stochastic Distance and Diffusion . . . 238--249 Peter L. Antonelli and Jared Chapin and G. Mark Lathrop and Kenneth Morgan The Geometry of Random Drift II. The Symmetry of Random Genetic Drift . . . . 250--259 Peter L. Antonelli and Kenneth Morgan and G. Mark Lathrop The Geometry of Random Drift III. Recombination and Diffusion . . . . . . 260--267 Stanley Sawyer Asymptotic Properties of the Equilibrium Probability of Identity in a Geographically Structured Population . . 268--282 John C. Wierman First-Passage Percolation on the Square Lattice, II . . . . . . . . . . . . . . 283--295 G. De Leve and A. Federgruen and H. C. Tijms A General Markov Decision Method I: Model and Techniques . . . . . . . . . . 296--315 G. De Leve and A. Federgruen and H. C. Tijms A General Markov Decision Method II: Applications . . . . . . . . . . . . . . 316--335 Eugene Lukacs Stability Theorems . . . . . . . . . . . 336--361 P. Brémaud and J. Jacod Processus ponctuels et martingales: résultats récents sur la modélisation et le filtrage. (French) [Point processes and martingales: Recent results on modeling and filtering] . . . . . . . . . . . . . 362--416 J. Michael Harrison The Supremum Distribution of a Lévy Process with No Negative Jumps . . . . . 417--422 Anonymous Back Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 423--423 D. G. Kendall Introduction . . . . . . . . . . . . . . 424--425 R. V. Ambartzumian Stochastic Geometry from the Standpoint of Integral Geometry . . . . . . . . . . 425--426 R. Féron Fuzzy Random Correspondences . . . . . . 426--427 E. Geciauskas The Distribution Function of the Distance between Two Points in a Convex Domain . . . . . . . . . . . . . . . . . 427--428 D. G. Kendall The Diffusion of Shape . . . . . . . . . 428--430 J. F. C. Kingman The Thrown String: An Unsolved Problem 431--431 K. Krickeberg Statistics of Random Flats . . . . . . . 432--432 V. M. Maximov An Ergodic Theorem for Random Products of Euclidean Motions . . . . . . . . . . 433--433 F. Papangelou Conditional Intensities of Point Processes: Their Application to Davidson's Problem and to Entropy . . . 434--434 B. D. Ripley The Point Processes of Stochastic Geometry . . . . . . . . . . . . . . . . 434--435 K. V. Mardia Distributions on Stiefel and Grassmann Manifolds, and Their Applications . . . 435--436 J. T. Kent Convolutions and Diffusions on Fractional-Dimensional Spheres, with Applications to the von Mises--Fisher Distribution . . . . . . . . . . . . . . 436--437 K. Urbanik Geometric Decomposability Properties of Probability Measures . . . . . . . . . . 437--439 B. Grigelionis Random Point-Measures with Non-Random Dual Predictable Projections . . . . . . 439--440 D. König Stochastic Processes with Basic Stationary Marked Point Processes . . . 440--442 J. Mecke A Characterization of the Probability-Generating Functional for Point Processes on Measurable Spaces . . 442--442 V. I. Piterbarg On the Regular Increase of the Variance of the Number of Random Points in Euclidean Space . . . . . . . . . . . . 443--444 R. L. Dobrushin Point Fields from the Gibbsian Point of View . . . . . . . . . . . . . . . . . . 444--445 K. Matthes Spatially Homogeneous Branching Processes . . . . . . . . . . . . . . . 445--446 X. X. Nguyen and H. Zessin Integral and Differential Characterizations of the Gibbs Process 446--447 C. J. Preston The Relation between Grand Canonical and Canonical Gibbs States . . . . . . . . . 447--447 M. J. Faddy Stochastic Compartmental Models as Approximations to More General Stochastic Systems with the General Stochastic Epidemic as an Example . . . 448--461 Joel E. Cohen Ergodicity of Age Structure in Populations with Markovian Vital Rates, III: Finite-State Moments and Growth Rate; An Illustration . . . . . . . . . 462--475 D. K. Pickard Asymptotic Inference for an Ising Lattice. II . . . . . . . . . . . . . . 476--501 Jan Grandell Point Processes and Random Measures . . 502--526 Jeffrey J. Hunter Renewal Theory in Two Dimensions: Bounds on the Renewal Function . . . . . . . . 527--541 Harry Cohn Countable Non-Homogeneous Markov Chains: Asymptotic Behaviour . . . . . . . . . . 542--552 John Rice On Generalized Shot Noise . . . . . . . 553--565 Priscilla Greenwood and Moshe Shaked Fluctuations of Random Walk in $ R^d $ and Storage Systems . . . . . . . . . . 566--587 Adrian Baddeley Integrals on a Moving Manifold and Geometrical Probability . . . . . . . . 588--603 Marcel F. Neuts The M/G/1 Queue with Several Types of Customers and Change-over Times . . . . 604--644 P. J. Brockwell Stationary Distributions for Dams with Additive Input and Content-Dependent Release Rate . . . . . . . . . . . . . . 645--663 Anonymous Back Matter . . . . . . . . . . . . . . ??
A. K. Shahani and D. M. Crease Towards Models of Screening for Early Detection of Disease . . . . . . . . . . 665--680 H.-J. Schuh and A. D. Barbour On the Asymptotic Behaviour of Branching Processes with Infinite Mean . . . . . . 681--723 Robert B. Davies Testing the Hypothesis That a Point Process Is Poisson . . . . . . . . . . . 724--746 Burton Singer and Seymour Spilerman Trace Inequalities for Mixtures of Markov Chains . . . . . . . . . . . . . 747--764 Charles M. Goldie Convergence Theorems for Empirical Lorenz Curves and Their Inverses . . . . 765--791 R. V. Ambartzumian Stochastic Geometry from the Standpoint of Integral Geometry . . . . . . . . . . 792--823 Adrian Baddeley A Fourth Note on Recent Research in Geometrical Probability . . . . . . . . 824--860 Anonymous Correction: Point Processes and Random Measures . . . . . . . . . . . . . . . . 861--861 Anonymous Volume Information . . . . . . . . . . . 862--866 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
F. A. Attia and D. Y. Downham A Numerical Investigation of a Model of Moran . . . . . . . . . . . . . . . . . 1--3 P. J. Avery and W. G. Hill The Effect of Linkage Disequilibrium on the Genetic Variance of a Quantitative Trait . . . . . . . . . . . . . . . . . 4--6 D. T. Bishop and C. Cannings The Generalised War of Attrition . . . . 6--7 Emilio Carbonell A Model to Detect Maternal and Epistatic Effects . . . . . . . . . . . . . . . . 7--10 R. N. Curnow and J. H. Roger A Two-Locus Model for the Inheritance of Disease . . . . . . . . . . . . . . . . 10--10 P. Holgate Canonical Multiplication in the Genetic Algebra for Linked Loci . . . . . . . . 10--11 A. Lomnicki Group Selection for the Self-Regulation of Population Density . . . . . . . . . 11--14 O. Mayo The Existence and Stability of a Three-Locus Gametophytically-Determined Self-Incompatibility System . . . . . . 14--15 Elizabeth Stuart Linkage and Mapping Functions in Human Genetics . . . . . . . . . . . . . . . . 15--17 S. Tavaré Age Distributions for Markov Processes in Genetics . . . . . . . . . . . . . . 17--19 E. A. Thompson Impossible Gene Identity States . . . . 19--22 Atam Vetta Negative Assortative Mating for a Polygenic Trait . . . . . . . . . . . . 22--25 C. Cannings and E. A. Thompson and M. H. Skolnick Probability Functions on Complex Pedigrees . . . . . . . . . . . . . . . 26--61 J. D. Biggins The Asymptotic Shape of the Branching Random Walk . . . . . . . . . . . . . . 62--84 Denis Mollison Markovian Contact Processes . . . . . . 85--108 Sòren Asmussen and Niels Keiding Martingale Central Limit Theorems and Asymptotic Estimation Theory for Multitype Branching Processes . . . . . 109--129 Dag Tjòstheim Statistical Spatial Series Modelling . . 130--154 R. T. Smythe and John C. Wierman First-Passage Percolation on the Square Lattice. III . . . . . . . . . . . . . . 155--171 William E. Boyce Approximate Solution of Random Ordinary Differential Equations . . . . . . . . . 172--184 Marcel F. Neuts Markov Chains with Applications in Queueing Theory, Which Have a Matrix-Geometric Invariant Probability Vector . . . . . . . . . . . . . . . . . 185--212 John Dagsvik Stability and Heavy Traffic Results for the General Bulk Queue . . . . . . . . . 213--231 E. El-Neweihi and F. Proschan and J. Sethuraman A Simple Model with Applications in Structural Reliability, Extinction of Species, Inventory Depletion and Urn Sampling . . . . . . . . . . . . . . . . 232--254 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 255--258 Anonymous Introduction . . . . . . . . . . . . . . 259--259 Richard E. Barlow Recent Developments in Reliability Theory . . . . . . . . . . . . . . . . . 261--262 Erhan Çinlar Markov Point Processes . . . . . . . . . 262--263 E. B. Dynkin A Stochastic Model of Economic Equilibrium . . . . . . . . . . . . . . 263--263 J. Gani Some Very Applied Problems in Applied Probability . . . . . . . . . . . . . . 263--265 Niels Keiding Statistical Inference in Branching Processes . . . . . . . . . . . . . . . 266--266 Harry Kesten Branching Diffusion with Absorption . . 267--267 K. Krickeberg Statistics of Point Processes . . . . . 267--268 J. W. Pitman An Extension of de Finetti's Theorem . . 268--270 H.-J. Rossberg Phragmén--Lindelöf (PL) Theorems in Probability Theory . . . . . . . . . . . 270--272 Yu. A. Rozanov Stochastic Markov Fields . . . . . . . . 272--273 Michael Rubinovitch On Subordinates of Regenerative Phenomena . . . . . . . . . . . . . . . 273--274 A. J. Stam On Limit Theorems with Infinite Limiting Measure . . . . . . . . . . . . . . . . 274--277 Shaler Stidham, Jr. Optimal Control of Stochastic Service Systems . . . . . . . . . . . . . . . . 277--278 Mark Westcott Records and Random Record Processes . . 278--280 Martin Barlow Honest Times and Splitting Times . . . . 280--280 Peter Gaenssler and Winifried Stute On Some Criteria for the Realization of Stochastic Processes . . . . . . . . . . 281--281 Thomas G. Kurtz Applications of Multiparameter Stopping Times . . . . . . . . . . . . . . . . . 282--283 K. Van Harn Degrees of Infinite Divisibility and $p$-Functions . . . . . . . . . . . . . 283--285 Stephen James Wolfe On the Unimodality of Infinitely Divisible Distribution Functions . . . . 285--286 D. Birnbaum and R. Serfozo Convergence of Image Measures and Integrals . . . . . . . . . . . . . . . 286--288 D. McDonald Local Limit Theorems for Sums of Integer-Valued Independent Random Variables . . . . . . . . . . . . . . . 288--288 Joop Mijnheer Limit Points of $ n^{-1 / \alpha } S_n $ 289--289 Holger Rootzén Limit Distributions for the Error in Approximations of Stochastic Integrals 290--290 Georg Lindgren Prediction of Level Crossings for Processes Containing Non-Ergodic Components . . . . . . . . . . . . . . . 290--291 K. Sharpe The Crossings Process Generated by a Stationary $ \chi^2 $ Process . . . . . 291--291 K. B. Athreya and P. Ney Regeneration and Imbeddings for Recurrent Markov Chains on General State Spaces . . . . . . . . . . . . . . . . . 292--292 K. B. Athreya and P. Ney Limit Theorems for Semi-Markov Processes and Renewal Theory for Markov Chains on General State Spaces . . . . . . . . . . 292--293 H. C. P. Berbee Recurrence for Random Walks with Stationary Increments . . . . . . . . . 293--294 P. Greenwood and J. Teugels Geometrically Stopped Random Walk . . . 294--295 Thomas Kaijser On Markov Chains Associated to Random Systems with Complete Connection . . . . 295--297 Talma Leviatan Continuation of Multiplicative (Additive) Functionals . . . . . . . . . 297--299 W. Vervaat A Relation between the Brownian Bridge and the Brownian Excursion . . . . . . . 299--299 J. Wijngaard Quasi-Compactness of Embedded Markov Processes and Entry Processes . . . . . 300--301 Mark Berman Regenerative Multivariate Point Processes . . . . . . . . . . . . . . . 301--301 Paul D. Feigin A Characterization of Point Processes with the Order Statistic Property . . . 301--304 G. F. Yeo On a Superposition of Alternating Renewal Processes in Traffic . . . . . . 304--304 H.-J. Schuh On the Asymptotic Behaviour of Branching Processes with Infinite Mean . . . . . . 305--307 J. A. Bather Sufficient Statistics for Markov Decision Processes . . . . . . . . . . . 307--308 A. Federgruen and H. C. Tijms The Optimality Equation in Average Cost Denumerable State Semi-Markov Decision Problems, Recurrency Conditions and Algorithms . . . . . . . . . . . . . . . 308--308 K. M. Van Hee and J. Van Der Wal Strongly Convergent Dynamic Programming 308--309 Gerhard Hübner Some Tests for Non-Optimal Actions in Markov Decision Problems with Absorption 309--310 R. P. Kertz On $ \epsilon $-Optimal Plans for a Non-Stationary Dynamic Programming Model with General Total Reward Function . . . 310--311 J. A. E. E. Van Nunen Successive Approximations for Markov Decision Processes . . . . . . . . . . . 311--312 R. Bergmann On the Estimation of the Mean Waiting Time and Bounds for Waiting Time Parameters in GI/G/1 . . . . . . . . . . 313--314 O. J. Boxma On the Distribution of the Supremum of the Service Times in a Busy Cycle of the M/G/1 Queueing System . . . . . . . . . 314--315 G. Dalen and Bent Natvig On the Transient Waiting Time for GI/M/1 with a 'Head of the Line' Priority Discipline . . . . . . . . . . . . . . . 315--316 F. A. Van Der Duyn Schouten An M/G/1 Queueing Model with Vacation Times . . . . . . . . . . . . . . . . . 316--316 E. Gelenbe and R. Yasnogorodsky A Queue with Server of Walking Type (Autonomous Service) . . . . . . . . . . 317--317 Dietrich Stoyan Queueing Networks: Insensitivity and a Heuristic Approximation . . . . . . . . 318--318 H. C. Tijms and F. A. Van Der Duyn Schouten Inventory Control with Two Switch-over Levels for a Class of Finite Capacity M/G/1 Queueing Systems with Variable Arrival and Service Rate . . . . . . . . 319--319 T. L. Török Balance Equations in Queueing Networks 320--320 J. Michael Harrison and Sidney I. Resnick The Stationary Distribution and Recurrence Classification of a Storage Process with General Release Rule . . . 321--321 E. F. Kasper Stochastic Lifecycle Forecasting Processes . . . . . . . . . . . . . . . 321--322 V. Capasso and S. L. Paveri Fontana Stochastic Compartmental Analysis . . . 323--325 E. J. Balder An Extension of the Usual Model in Statistical Decision Theory with Applications to Stochastic Optimization Problems . . . . . . . . . . . . . . . . 325--326 Luuk P. J. Groenewegen Characterization of Optimal Controls . . 326--327 R. Neck On Some Economic Applications of Stochastic Control Theory . . . . . . . 327--327 Alain Le Breton Parameter Estimation and Design of Inputs in a Linear Dynamical System . . 328--329 H. Pruscha Statistical Analysis of a Non-Markovian Model with Applications to Behavioural Processes . . . . . . . . . . . . . . . 329--330 F. Streit Optimality Properties of Statistical Tests for Poisson Point Processes . . . 330--331 Ishay Weissman Estimation of Parameters and Large Quantiles Based on the $K$ Largest Observations . . . . . . . . . . . . . . 331--332 P. Van Beek Introduction . . . . . . . . . . . . . . 332--333 A. Brandwajn An Approach to the Numerical Solution of Some Queueing Networks . . . . . . . . . 333--333 Paul Van Beek and Hubert Keuning An Application of the Diffusion Approximation Technique to Store-and-Forward Computer Network Models . . . . . . . . . . . . . . . . . 334--334 J. W. Cohen On a General Class of Processer Sharing Service Facilities . . . . . . . . . . . 334--335 R. B. Haugen On the Busy Period of GI/G/1 Queue with Two Priority Levels and Feedbacks . . . 335--336 J. Hoogwerf Mean Sojourn Time of Packets in a Computer Communications Network . . . . 336--337 L. Kosten Parametrisation of Overflow Traffic in Telecommunication and Data Handling . . 337--338 A. Kramli and J. Soltesz On the Optimality of the 'Least Frequently Used' Page Replacement Algorithm . . . . . . . . . . . . . . . 338--338 R. Kohn Asymptotic Properties of Time Domain Gaussian Estimators . . . . . . . . . . 339--359 M. Deistler and W. Dunsmuir and E. J. Hannan Vector Linear Time Series Models: Corrections and Extensions . . . . . . . 360--372 Ken Sharpe Some Properties of the Crossings Process Generated by a Stationary $ \chi^2 $ Process . . . . . . . . . . . . . . . . 373--391 Tomasz Rolski A Rate-Conservative Principle for Stationary Piecewise Markov Processes 392--410 Mark Berman Regenerative Multivariate Point Processes . . . . . . . . . . . . . . . 411--430 Bo Bergman Optimal Replacement under a General Failure Model . . . . . . . . . . . . . 431--451 A. Federgruen On $N$-Person Stochastic Games with Denumerable State Space . . . . . . . . 452--471 David Assaf Invariant Problems in Discounted Dynamic Programming . . . . . . . . . . . . . . 472--490 Anonymous Back Matter . . . . . . . . . . . . . . ??
Denis Mollison and F. P. Kelly and B. W. Silverman and P. J. Green and A. D. Cliff and P. Haggett and B. D. Ripley and C. R. Orton and E. D. Ford and P. A. Mason and Isobel Clark and D. A. Jones and J. C. Gower and W. G. McGinley and Frank Critchley and Robin Sibson and D. G. Kendall Conference on the Analysis of Spatial Data . . . . . . . . . . . . . . . . . . 491--498 D. J. Gates and M. Westcott Zone of Influence Models for Competition in Plantations . . . . . . . . . . . . . 499--537 Ken-Iti Sato Convergence to a Diffusion of a Multi-Allelic Model in Population Genetics . . . . . . . . . . . . . . . . 538--562 Peter L. Antonelli The Geometry of Random Drift IV. Random Time Substitutions and Stationary Densities . . . . . . . . . . . . . . . 563--569 James A. Cavender Quasi-Stationary Distributions of Birth-and-Death Processes . . . . . . . 570--586 I. W. Saunders Locating Bright Spots in a Point Process 587--612 Harry M. Pierson On a Class of Random Motions of Point Processes Involving Interaction . . . . 613--632 Douglas P. Kennedy On Sets of Countable Non-Negative Matrices and Markov Decision Processes 633--646 M. J. Phillips Sums of Random Variables Having the Modified Geometric Distribution with Application to Two-Person Games . . . . 647--665 M. Yadin and S. Zacks Adaptation of the Service Capacity in a Queueing System Which Is Subjected to a Change in the Arrival Rate at Unknown Epoch . . . . . . . . . . . . . . . . . 666--681 Bharat T. Doshi Optimal Control of the Service Rate in an M/G/1 Queueing System . . . . . . . . 682--701 Anonymous Corrections to Cohen and Stuart . . . . 702--702 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
D. R. McNeil [Introduction] . . . . . . . . . . . . . 703--703 M. S. Bartlett A Note on Random Walks at Constant Speed 704--707 J. H. Pollard Fluctuating Interest Rates . . . . . . . 707--711 A. M. Hasofer and P. Petocz The Envelope of an Oscillatory Process and Its Upcrossings . . . . . . . . . . 711--716 E. Seneta A Relaxation View of a Genetic Problem 716--720 G. A. Watterson Simulating Samples from a Genetic Population . . . . . . . . . . . . . . . 720--723 C. C. Heyde On an Explanation for the Characteristic Clutch Size of Some Bird Species . . . . 723--725 J. V. Corbett Probability in Quantum Mechanics . . . . 725--729 H. S. Green Distribution of Arrival Times in Cosmic Ray Showers . . . . . . . . . . . . . . 730--735 C. R. Heathcote On Parametric Density Estimators . . . . 735--740 E. J. Hannan Rates of Convergence for Time Series Regression . . . . . . . . . . . . . . . 740--743 L. Edler Strict Supercritical Generation-Dependent Crump--Mode--Jagers Branching Processes . . . . . . . . . . 744--763 J. N. McDonald and N. A. Weiss An Infinite Particle System with Continual Input and Random Death . . . . 764--787 Bruce Ebanks The Branching Property in Generalized Information Theory . . . . . . . . . . . 788--802 Stanley S. Wasserman Models for Binary Directed Graphs and Their Applications . . . . . . . . . . . 803--818 John Kent Time-Reversible Diffusions . . . . . . . 819--835 R. Schassberger Insensitivity of Steady-State Distributions of Generalized Semi-Markov Processes with Speeds . . . . . . . . . 836--851 A. J. Stam Heavy Traffic Limit Theorems in Fluctuation Theory . . . . . . . . . . . 852--866 B. D. Sivazlian and J. F. Mahoney Group Replacement of a Multicomponent System Which Is Subject to Deterioration Only . . . . . . . . . . . . . . . . . . 867--885 J. Michael Harrison The Diffusion Approximation for Tandem Queues in Heavy Traffic . . . . . . . . 886--905 R. Schassberger The Insensitivity of Stationary Probabilities in Networks of Queues . . 906--912 Anonymous Volume Information . . . . . . . . . . . 913--918 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. J. Avery The Effect of Finite Population Size on Selection Results for Two Linked Loci 1--2 A. W. F. Edwards Parsing a Genealogy . . . . . . . . . . 2--3 Ivar Heuch Equilibrium Populations of Plants with Diplo-Diplo Incompatibility . . . . . . 3--4 W. G. Hill and P. J. Avery Variation in Quantitative Traits and Heterozygosity as Influenced by Linkage and Mating Structure . . . . . . . . . . 4--5 Robert W. Hiorns The Consequences of Intermixture in Human Populations . . . . . . . . . . . 5--7 John Rostron Genetic Colonising Distance and a Problem in Algebra . . . . . . . . . . . 7--8 Cedric A. B. Smith Searching for Heterozygotes in Quantitative Characters . . . . . . . . 8--9 Jon Stene Ascertainment of Family Data . . . . . . 9--10 S. Tavaré Time Reversion and Age Distributions . . 10--12 E. A. Thompson Extinction Probabilities and Pedigree Structure . . . . . . . . . . . . . . . 12--13 G. A. Watterson Estimating and Testing Selection: The Two-Alleles, Genic Selection Diffusion Model . . . . . . . . . . . . . . . . . 14--30 Anthony G. Pakes Limit Theorems for the Simple Branching Process Allowing Immigration, I. The Case of Finite Offspring Mean . . . . . 31--62 A. D. Barbour and Anthony G. Pakes Limit Theorems for the Simple Branching Process Allowing Immigration, II. The Case of Infinite Offspring Mean . . . . 63--72 Joshua B. Levy Transience and Recurrence of State-Dependent Branching Processes with an Immigration Component . . . . . . . . 73--92 Georg Lindgren Prediction of Level Crossings for Normal Processes Containing Deterministic Components . . . . . . . . . . . . . . . 93--117 B. D. O. Anderson and T. Kailath Forwards and Backwards Models for Finite-State Markov Processes . . . . . 118--133 S. Christian Albright and Wayne Winston A Birth--Death Model of Advertising and Pricing . . . . . . . . . . . . . . . . 134--152 S. Leigh Phoenix The Asymptotic Distribution for the Time to Failure of a Fiber Bundle . . . . . . 153--187 P. J. Schweitzer and A. Federgruen Geometric Convergence of Value-Iteration in Multichain Markov Decision Problems 188--217 Benjamin Melamed On Poisson Traffic Processes in Discrete-State Markovian Systems with Applications to Queueing Theory . . . . 218--239 Per Hokstad On the Steady-State Solution of the M/G/2 Queue . . . . . . . . . . . . . . 240--255 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 257--259 A. A. Borovkov On the Rate of Convergence and Large Deviations in the Invariance Principle 260--261 R. B. Davies Inference from Non-Ergodic Time Series 261--262 J. Gani Some Interesting Current Directions in Epidemic Theory . . . . . . . . . . . . 262--262 E. J. Hannan Linear Systems . . . . . . . . . . . . . 263--264 J. F. C. Kingman Deterministic and Stochastic Models in Population Genetics . . . . . . . . . . 264--264 K. Krickeberg Filtering Spatial Processes . . . . . . 265--266 P. A. Jacobs and P. A. W. Lewis Time Series Generated by Mixtures: The DARMA(p,q) Process . . . . . . . . . . . 266--267 Ronald Pyke Recent Developments in Empirical Processes . . . . . . . . . . . . . . . 267--268 V. V. Sazonov and V. V. Ulyanov On the Speed of Convergence in the Central Limit Theorem . . . . . . . . . 269--270 E. Seneta Coefficients of Ergodicity: Structure and Applications . . . . . . . . . . . . 270--271 R. C. Griffiths and R. K. Milne A Class of Bivariate Poisson Processes 272--273 Yoshifusa Ito Renewal Processes Decomposable into i.i.d. Components . . . . . . . . . . . 273--273 D. R. Manfield and T. Downs An Application of Multivariate Point Processes in Teletraffic Systems . . . . 274--274 J. L. Teugels On the Rate of Convergence of the Maximum of a Compound Poisson Process 274--275 K. B. Athreya A Markov Process Approach to Systems of Renewal Equations . . . . . . . . . . . 275--276 F. E. Binet On Bartlett's Characterisation of the Pólya Process . . . . . . . . . . . . . . 276--277 Harry Cohn On the Invariant Events of a Convergent Markov Chain . . . . . . . . . . . . . . 277--277 R. W. Gibberd and H. Lewis Properties of Aggregated Markov Chains 277--278 Pekka Tuominen and Richard L. Tweedie The Recurrence Structure of General Markov Processes . . . . . . . . . . . . 279--279 Pekka Tuominen and Richard L. Tweedie Exponential Ergodicity of General Markov Processes . . . . . . . . . . . . . . . 279--280 C. W. Aisbett The Relation between Pointwise and Uniform Convergence of the Empirical Distributions of Identically Distributed Real Data . . . . . . . . . . . . . . . 280--281 Noel Cressie Random Set Limit Theorems . . . . . . . 281--282 Paul Embrechts and Charles M. Goldie and N. Veraverbeke Subexponential Distribution Functions and Some Applications . . . . . . . . . 283--283 C. C. Heyde On Central Limit and Iterated Logarithm Results for Subadditive Processes . . . 283--284 Makoto Maejima Non-Uniform Estimates in the Local Limit Theorem for Densities . . . . . . . . . 284--285 Tomoichi Nakata On an Estimate of the Remainder Term in the Central Limit Theorem . . . . . . . 285--286 D. Pollard Weak Convergence on Non-Separable Metric Spaces . . . . . . . . . . . . . . . . . 286--288 Galen R. Shorack Extensions of the Darling and Erd\Hos Theorem on the Maximum of Normalized Sums . . . . . . . . . . . . . . . . . . 288--289 Robert J. Adler Spheres, Cubes, and Brownian Motions . . 289--289 Janos Galambos Extreme Value Theory in Applied Probability . . . . . . . . . . . . . . 289--290 Ken Sharpe On the Use of Upcrossings to Test for a Gaussian Process . . . . . . . . . . . . 291--291 Tetsuo Fujimagari On the Extinction Time Distribution of a Branching Process in Varying Environments . . . . . . . . . . . . . . 291--292 H.-J. Schuh Some Results on the Structure of Irregular Branching Processes with Infinite Mean . . . . . . . . . . . . . 292--293 Akinobu Shimizu The Stepping-Stone Model and a Stochastic Differential Equation . . . . 293--294 S. R. Wilson Associative Mating for Familial Disorders: Some Anomalies . . . . . . . 294--295 M. J. Faddy Partial Stochastic/Deterministic Models in Epidemic Theory . . . . . . . . . . . 295--297 R. K. Watson Some Extensions of the Standard Epidemic Model . . . . . . . . . . . . . . . . . 297--297 B. D. O. Anderson A Physical Basis for Krein's Prediction Formulas . . . . . . . . . . . . . . . . 297--298 M. A. Cameron A Model for Transients . . . . . . . . . 298--299 Alan J. Lee Sampling Theorems for Non-Stationary Random Processes . . . . . . . . . . . . 299--300 I. V. Basawa Asymptotic Theory of Inference for a Certain Class of Stochastic Processes 300--301 John B. Moore On Strong Consistency of Least Squares Identification Algorithms . . . . . . . 302--302 C. S. Withers Estimating the Variance of the Sample Mean for Time Series with Applications to Robust Tests . . . . . . . . . . . . 302--303 D. B. Abraham The Phase Transition in the Discrete Gaussian Problem . . . . . . . . . . . . 303--304 P. K. W. Chan and T. Downs Discounted Cost Criterion for Imperfect Maintenance . . . . . . . . . . . . . . 304--304 Nasser Hadidi A Stochastic Model for the Emergence of Poets . . . . . . . . . . . . . . . . . 305--305 Jeffrey J. Hunter Queueing and Storage Systems in Parallel 305--306 G. R. Sutton A Stochastic Model of Acoustic Wave Propagation through the Ocean . . . . . 306--307 M. Westcott Zone of Influence Models for Competition in Plantations . . . . . . . . . . . . . 307--307 M. A. Ali and N. Singh Control Problem under Uncertainty . . . 308--308 G. F. Ledwich Adaptive Regulator Convergence for Variable Set Point . . . . . . . . . . . 309--309 R. C. Griffiths A Transition Density Expansion for a Multi-Allele Diffusion Model . . . . . . 310--325 R. C. Griffiths Exact Sampling Distributions from the Infinite Neutral Alleles Model . . . . . 326--354 Richard Durrett An Infinite Particle System with Additive Interactions . . . . . . . . . 355--383 Thomas J. Lorenzen Generalizing the Secretary Problem . . . 384--396 M. Yadin and R. Syski Randomization of Intensities in a Markov Chain . . . . . . . . . . . . . . . . . 397--421 Benjamin Melamed Characterizations of Poisson Traffic Streams in Jackson Queueing Networks . . 422--438 David Sonderman Comparing Multi-Server Queues with Finite Waiting Rooms, I: Same Number of Servers . . . . . . . . . . . . . . . . 439--447 David Sonderman Comparing Multi-Server Queues with Finite Waiting Rooms, II: Different Numbers of Servers . . . . . . . . . . . 448--455 Anonymous Corrections to Melamed and Schweitzer 456--456 Anonymous Back Matter . . . . . . . . . . . . . . ??
Masao Nagasawa and Takeo Maruyama An Application of Time Reversal of Markov Processes to a Problem of Population Genetics . . . . . . . . . . 457--478 Samuel Karlin and Uri Liberman A Natural Class of Multilocus Recombination Processes and Related Measures of Crossover Interference . . . 479--501 Peter L. Antonelli The Geometry of Random Drift V. Axiomatic Derivation of the WFK Diffusion from a Variational Principle 502--509 Wolfgang Mergenthaler A Sufficient Criterion for Particles Performing a Diffusive Motion with State-Dependent Death Rate to Die with Probability One . . . . . . . . . . . . 510--526 Howard M. Taylor The Time to Failure of Fiber Bundles Subjected to Random Loads . . . . . . . 527--541 R. Syski Energy of Markov Chains . . . . . . . . 542--575 E. Seneta Coefficients of Ergodicity: Structure and Applications . . . . . . . . . . . . 576--590 David Mannion Random Packing of an Interval. II . . . 591--602 D. J. Bartholomew The Control of a Grade Structure in a Stochastic Environment Using Promotion Control . . . . . . . . . . . . . . . . 603--615 O. J. Boxma On a Tandem Queueing Model with Identical Service Times at Both Counters, I . . . . . . . . . . . . . . 616--643 O. J. Boxma On a Tandem Queueing Model with Identical Service Times at Both Counters, II . . . . . . . . . . . . . . 644--659 E. Nummelin A Conservation Property for General GI/G/1 Queues with an Application to Tandem Queues . . . . . . . . . . . . . 660--672 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Norio Okada On Convergence to Diffusion Processes of Markov Chains Related to Population Genetics . . . . . . . . . . . . . . . . 673--700 D. Siegmund Corrected Diffusion Approximations in Certain Random Walk Problems . . . . . . 701--719 Jacqueline Gianini-Pettitt Optimal Selection Based on Relative Ranks with a Random Number of Individuals . . . . . . . . . . . . . . 720--736 Robert V. Foutz and R. C. Srivastava Statistical Inference for Markov Processes When the Model Is Incorrect 737--749 Wim Vervaat On a Stochastic Difference Equation and a Representation of Non-Negative Infinitely Divisible Random Variables 750--783 Pekka Tuominen and Richard L. Tweedie Exponential Decay and Ergodicity of General Markov Processes and Their Discrete Skeletons . . . . . . . . . . . 784--803 Philip Heidelberger and Donald L. Iglehart Comparing Stochastic Systems Using Regenerative Simulation with Common Random Numbers . . . . . . . . . . . . . 804--819 J. Elker and D. Pollard and W. Stute Glivenko-Cantelli Theorems for Classes of Convex Sets . . . . . . . . . . . . . 820--833 Shigeru Mase Random Compact Convex Sets Which Are Infinitely Divisible with Respect to Minkowski Addition . . . . . . . . . . . 834--850 K. Balagopal On Queues in Discrete Regenerative Environments, with Application to the Second of Two Queues in Series . . . . . 851--869 Eckhardt Gallisch On Monotone Optimal Policies in a Queueing Model of M/G/1 Type with Controllable Service Time Distribution 870--887 John Kent Acknowledgement of Priority . . . . . . 888--888 Anonymous Correction: Transience and Recurrence of State-Dependent Branching Processes with an Immigration Component . . . . . . . . 889--889 Anonymous Volume Information . . . . . . . . . . . 890--893 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Bengt O. Bengtsson How Evolutionarily Stable Is the XX/XY Sex-Determination System? . . . . . . . 1--3 C. Cannings and D. Gardiner A Dynamic Programming Approach to Evolutionarily Stable Strategy Theory 3--5 Christa Fielden Inbreeding with Multiple Loci . . . . . 5--5 D. Gardiner The Behaviour of Strategy-Frequencies in Parker's Model . . . . . . . . . . . . . 5--7 John Haigh Persistence Times of Populations Subject to Random Disasters . . . . . . . . . . 7--7 Ivar Heuch Further Investigations of Incompatibility Systems in Angiosperm Plants . . . . . . . . . . . . . . . . . 7--7 Philip Holgate Inbreeding in Genetic Algebras . . . . . 8--8 Cedric A. B. Smith Estimation of the Correlation between Relatives . . . . . . . . . . . . . . . 8--9 R. W. K. Odoni The Algebraic Approach to Bernstein's Problem on Mendelian Models of Inheritance . . . . . . . . . . . . . . 9--9 P. Stam The Distribution of Heterogeneity in Finite Random Mating Populations . . . . 9--10 Jon Stene Detection of Regulation of Family Size after Births of Affected Children . . . 10--10 E. A. Thompson Sequential Sampling Schemes for Sibships 10--11 Atam Vetta Proof of Fischer's Fundamental Theorem of Natural Selection . . . . . . . . . . 11--13 S. N. Ethier and Thomas Nagylaki Diffusion Approximations of Markov Chains with Two Time Scales and Applications to Population Genetics . . 14--49 Peter L. Antonelli and Jared Chapin and B. H. Voorhees The Geometry of Random Genetic Drift VI. A Random Selection Diffusion Model . . . 50--58 Erik A. Van Doorn Stochastic Monotonicity of Birth--Death Processes . . . . . . . . . . . . . . . 59--80 B. Klein and P. D. M. Macdonald The Multitype Continuous-Time Markov Branching Process in a Periodic Environment . . . . . . . . . . . . . . 81--93 P. Whittle Polymerisation Processes with Intrapolymer Bonding. I. One Type of Unit . . . . . . . . . . . . . . . . . . 94--115 P. Whittle Polymerisation Processes with Intrapolymer Bonding. II. Stratified Processes . . . . . . . . . . . . . . . 116--134 P. Whittle Polymerisation Processes with Intrapolymer Bonding. III. Several Types of Unit . . . . . . . . . . . . . . . . 135--153 Gerhard Hübner Bounds and Good Policies in Stationary Finite-Stage Markovian Decision Problems 154--173 John Bather Randomised Allocation of Treatments in Sequential Trials . . . . . . . . . . . 174--182 R. Kohn On the Spectral Decomposition of Stationary Time Series Using Walsh Functions. I . . . . . . . . . . . . . . 183--199 B. Natvig Improved Bounds for the Availability and Unavailability in a Fixed Time Interval for Systems of Maintained, Interdependent Components . . . . . . . 200--221 V. Ramaswami The N/G/1 Queue and Its Detailed Analysis . . . . . . . . . . . . . . . . 222--261 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 263--265 D. J. Aldous A New Look at Weak Convergence . . . . . 266--267 Elja Arjas Classes of Residual Lifetime Distributions Conditioned on Failure Histories . . . . . . . . . . . . . . . 267--267 R. Durrett Infinite Particle Systems . . . . . . . 268--268 David Griffeath Some Remarks on the Basic Contact Processes . . . . . . . . . . . . . . . 269--269 Henryk Gzyl Infinitesimal Generators of Time-Changed Processes . . . . . . . . . . . . . . . 269--270 J. Michael Harrison Martingales and Stochastic Integrals in the Theory of Securities Markets . . . . 270--271 Donald L. Iglehart Exploiting Stochastic Structure in the Simulation of Networks of Queues . . . . 271--271 Jean Jacod On the Construction of a Markov Process up to a Change of Time . . . . . . . . . 271--271 Olav Kallenberg Path Decomposition at Backward Times in Regenerative Sets . . . . . . . . . . . 272--273 Alan F. Karr A Partially Observed Poisson Process . . 273--273 B. Maisonneuve Topics on Regenerative Sets and Subordinators . . . . . . . . . . . . . 273--274 Takeo Maruyama On an Overdominant Model of Population Genetics . . . . . . . . . . . . . . . . 274--275 Michel Metivier $ \pi^*$-Processes and Stochastic Equations . . . . . . . . . . . . . . . 275--276 Yu. A. Rozanov On Multidirectional Markov Processes . . 276--276 E. Seneta Computing the Stationary Distribution for Infinite Markov Chains . . . . . . . 276--277 M. J. Sharpe Markov Properties of Co-Optional Times 277--278 A. N. Shirayayev Some Limit Theorems for Simple Point Processes: Martingale Approach . . . . . 278--279 Jos H. A. De Smit A Probabilistic Approach to the Multiple-Server Queue . . . . . . . . . 279--279 Lawrence D. Stone Optimal Search for Moving Targets . . . 279--280 N. H. Bingham Random Walks and Number-Theoretic Densities . . . . . . . . . . . . . . . 280--281 F. Thomas Bruss A Counterpart of the Borel--Cantelli Lemma . . . . . . . . . . . . . . . . . 281--282 I. I. Kotlarski On a Characterization of Probability Distributions in Some Stochastic Processes . . . . . . . . . . . . . . . 283--283 R. Syski Energy of a Martingale in the Limit . . 283--284 M. S. Ali Khan Central Limit Theorem for Stochastic Processes and Its Application in the Theory of Dams . . . . . . . . . . . . . 284--285 Joop Mijnheer An Approximation of Partial Sums of i.i.d. Random Variables with Infinite Variance . . . . . . . . . . . . . . . . 285--286 G. L. O'Brien Scaling Transformations for 0,1-Valued Sequences . . . . . . . . . . . . . . . 286--286 Stephen James Wolfe On a Continuous Analogue of the Stochastic Difference Equation $ X_n = \rho X_{n - 1} + B_n $ . . . . . . . . . 286--286 F. W. Steutel Stable Lattice Distributions and Continuous-Time Branching Processes . . 286--288 N. U. Ahmed Stochastic Control on Hilbert Space for Linear Evolution Equations with Random Operator-Valued Coefficients . . . . . . 288--288 Václav E. Benes and Ioannis Karatzas Optimal Stationary Linear Control of the Wiener Process . . . . . . . . . . . . . 288--289 Marc A. Berger Stochastic Derivatives and Integral Equations . . . . . . . . . . . . . . . 289--290 R. Ahmad Markov Functionals and Their Algebraic Structure . . . . . . . . . . . . . . . 290--291 Priscilla Greenwood and Jim Pitman Fluctuation Identities for Random Walk by Path Decomposition at the Maximum . . 291--293 Burton Simon Equivalent Markov-Renewal Processes . . 293--293 G. Mazziotto and J. Szpirglas Filtering for Two-parameter Doubly Stochastic Poisson Measure . . . . . . . 294--294 Roy Saunders and Richard J. Kryscio and Gerald M. Funk Poisson Limits for a Hard-core Clustering Model . . . . . . . . . . . . 294--294 Richard Serfozo Thinnings of Random Cluster Fields . . . 294--295 Ward Whitt and Shlomo Halfin A New Heavy-Traffic Limit Theorem for Many-Server Queues . . . . . . . . . . . 295--295 David Pollard A New Proof of Prohorov's Theorem . . . 295--296 Sidney Resnick Weak Convergence, Point Processes and Regular Variation . . . . . . . . . . . 296--296 Wim Vervaat and J. C. Smit A Conditioned Functional Limit Theorem 296--297 J. W. Cohen and G. Hooghiemstra Brownian Excursion, Brownian Meander and Limit Theorems for the M/G/1 Queue . . . 297--298 W. Eberl Asymptotic Absorption Distributions in Birth-and-Death Processes . . . . . . . 298--299 Martin I. Goldstein and Fred M. Hoppe Minimal Convergence Conditions for Critical Age-Dependent Processes . . . . 299--300 W. Kliemann Ergodic Theory of Stochastic Systems and Non-Linear Control . . . . . . . . . . . 300--301 Anne-Marie De Meyer and J. L. Teugels On the Asymptotic Behaviour of the Busy-Period Distribution in M/G/1 Queues 301--302 Bo Ranneby The Ergodic Theorem for $ D_q $-Valued Random Elements . . . . . . . . . . . . 302--303 S. W. Woolford On Limit Theorems Associated with a Storage Model . . . . . . . . . . . . . 303--304 L. Arnold Mathematical Models of Chemical Reactions . . . . . . . . . . . . . . . 304--304 P. J. Brockwell and N. Pacheco-Santiago Invariant Imbedding and Dams with Markovian Input Rate . . . . . . . . . . 304--305 Neil Bromberg Random Walk Models in Xerographic Development . . . . . . . . . . . . . . 305--306 Donald Geman Confluent Brownian Motions . . . . . . . 306--306 J. D. Griffiths A Stochastic Model for Delays at a Non-Signalized Pedestrian Crossing . . . 307--307 Haim Mendelson and Uri Yechiali Performance Measures for Ordered Lists in Random-Access Files . . . . . . . . . 308--308 Nasser Hadidi Partially Correlated Queues . . . . . . 308--310 Walter A. Rosenkrantz Some Theorems for the Virtual Waiting Time Process . . . . . . . . . . . . . . 310--311 D. P. Gaver and P. A. Jacobs On Combinations of Random Loads . . . . 311--311 Ramesh C. Gupta Some Characterizations of Renewal Densities with Emphasis in Reliability 311--312 Albert W. Marshall and Moshe Shaked Univariate NBU Processes . . . . . . . . 312--313 Y. M. El-Fattah Recursive Algorithms for Adaptive Control of Finite Markov Chains . . . . 313--313 G. J. Foschini and M. I. Reiman Controlling Tandem Processors . . . . . 313--314 Shaler Stidham, Jr. and Jacob Wijngaard Foward Recursion for Average Reward Markovian Decision Processes Which Are Skip-Free to the Right . . . . . . . . . 314--314 Will Gersch Discrimination in Stationary and Non-Stationary Time Series . . . . . . . 314--315 J. Y. Kassab Generalisation of Statistical Differentials with Applications to Estimation of Autocorrelation in General Linear Processes . . . . . . . . . . . . 315--316 Roy Saunders and Purushottam Laud Quantile and Contour Regions for Multivariate Distributions . . . . . . . 316--316 John S. White The Distribution of the Serial Correlation Coefficient for a Stationary Series . . . . . . . . . . . . . . . . . 316--317 Gary L. Wise The Non-Bandlimitedness of a Class of Random Processes . . . . . . . . . . . . 317--317 G. Arthur Mihram Stochastic Simulation: Its Seed Virtually Precludes the Application of Regenerative Processes . . . . . . . . . 317--318 Bengt Von Bahr and Anders Martin-Löf Threshold Limit Theorems for Some Epidemic Processes . . . . . . . . . . . 319--349 Tetsuo Fujimagari On the Extinction Time Distribution of a Branching Process in Varying Environments . . . . . . . . . . . . . . 350--366 L. Arnold and M. Theodosopulu Deterministic Limit of the Stochastic Model of Chemical Reactions with Diffusion . . . . . . . . . . . . . . . 367--379 David G. Kendall and Wilfrid S. Kendall Alignments in Two-Dimensional Random Sets of Points . . . . . . . . . . . . . 380--424 R. E. Miles The Random Tangential Projection of a Surface . . . . . . . . . . . . . . . . 425--446 Adrian Baddeley A Limit Theorem for Statistics of Spatial Data . . . . . . . . . . . . . . 447--461 R. Kohn On the Spectral Decomposition of Stationary Time Series Using Walsh Functions. II . . . . . . . . . . . . . 462--474 Robert Lugannani and Stephen Rice Saddle Point Approximation for the Distribution of the Sum of Independent Random Variables . . . . . . . . . . . . 475--490 Peter Hall Estimating Probabilities for Normal Extremes . . . . . . . . . . . . . . . . 491--500 Do Le Minh The GI/G/1 Queue with Uniformly Limited Virtual Waiting Times; The Finite Dam 501--516 Patricia A. Jacobs Heavy Traffic Results for Single-Server Queues with Dependent (EARMA) Service and Interarrival Times . . . . . . . . . 517--529 S. K. Srinivasan and C. Chudalaimuthu Pillai Correlation Functions in the G/M/1 System . . . . . . . . . . . . . . . . . 530--540 Anonymous Correction: The Insensitivity of Stationary Probabilities in Networks of Queues . . . . . . . . . . . . . . . . . 541--541 Anonymous Back Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 543--544 P. Tautu Introduction . . . . . . . . . . . . . . 545--546 Renato Baserga and Brian I. Lord and R. Schofield and Christopher S. Potten and A. D. Barbour and Robert Bartoszy\'nski and John D. Biggins and James M. Greenberg and F. C. Hoppensteadt and W. Jäger and Harry Kesten and Masao Nagasawa and G. Oster and Werner Rittgen and Henry C. Tuckwell and Michael Turelli and Arthur T. Winfree and Carla Wofsy Proliferation, Spread and Reaction-Dispersal Processes . . . . . . 546--555 Hans Föllmer and Thomas M. Liggett and Klaus Schürger and Frank Spitzer and Maury Bramson and David Griffeath and William A. Little and A. Robertson and P. Tautu Random Systems with Locally Interacting Objects . . . . . . . . . . . . . . . . 555--559 Hans-Peter Altenburg and Wolfgang J. Bühler and Donald G. Aronson and Norman T. J. Bailey and Konrad Bögel and Odo Diekmann and P. C. Fife and L. A. Peletier and Denis Mollison and F. H. Rijsdijk and J. C. Zadoks and F. Rothe and Stanley Sawyer and K. Schumacher and Horst R. Thieme and Hans F. Weinberger Spatial Models in Epidemiology and Genetics . . . . . . . . . . . . . . . . 559--566 Wolfgang Alt and George I. Bell and Howard C. Berg and Evelyn Fox Keller and I. Richard Lapidus and Michael Levandowsky and Douglas Lauffenburger and Ralph Nossal Models for Cell Motility . . . . . . . . 566--569 Halim Doss and Thomas G. Kurtz Stochastic versus Deterministic Approaches . . . . . . . . . . . . . . . 569--570 C. Conley and Joel Smoller and J. M. Hammersley and David G. Kendall and Nguyen Xuan Xanh and George C. Papanicolaou and Robert T. Smythe Further Mathematical Approaches and Techniques . . . . . . . . . . . . . . . 571--573 David Stirzaker Inheritance . . . . . . . . . . . . . . 574--590 A. D. Barbour Equilibrium Distributions Markov Population Processes . . . . . . . . . . 591--614 J. Hutton The Recurrence and Transience of Two-Dimensional Linear Birth and Death Processes . . . . . . . . . . . . . . . 615--639 Wulf Rehder The Asymptotic Distribution of Random Molecules . . . . . . . . . . . . . . . 640--654 David K. Pickard Unilateral Markov Fields . . . . . . . . 655--671 Yoshifusa Ito Renewal Processes Decomposable into i.i.d. Components . . . . . . . . . . . 672--688 M. Riedel Characterization of Stable Processes by Identically Distributed Stochastic Integrals . . . . . . . . . . . . . . . 689--709 D. Wolf Approximation of the Invariant Probability Measure of an Infinite Stochastic Matrix . . . . . . . . . . . 710--726 D. P. Gaver and P. A. W. Lewis First-Order Autoregressive Gamma Sequences and Point Processes . . . . . 727--745 Georg Lindgren Extreme Values and Crossings for the $ \chi^2$-Process and Other Functions of Multidimensional Gaussian Processes, with Reliability Applications . . . . . 746--774 Donald A. Berry and Bert Fristedt Two-Armed Bandits with a Goal, I. One Arm Known . . . . . . . . . . . . . . . 775--798 Per Hokstad The Steady-State Solution of the M/K$_2$ /m Queue . . . . . . . . . . . . . . . . 799--823 Anonymous Back Matter . . . . . . . . . . . . . . ??
Gail Ivanoff The Branching Random Field . . . . . . . 825--847 Harry Kesten On the Time Constant and Path Length of First-Passage Percolation . . . . . . . 848--863 J. Theodore Cox The Time Constant of First-Passage Percolation on the Square Lattice . . . 864--879 J. Ansell and A. Bendell and S. Humble Nested Renewal Processes . . . . . . . . 880--892 Priscilla Greenwood and Jim Pitman Fluctuation Identities for Lévy Processes and Splitting at the Maximum . . . . . . 893--902 S. Kotz and D. N. Shanbhag Some New Approaches to Probability Distributions . . . . . . . . . . . . . 903--921 Peter Findeisen Asymptotic Properties of a Certain Class of Bush-Mosteller Learning Models . . . 922--941 Shirish D. Chikte Optimal Sequential Selection and Resource Allocation under Uncertainty 942--957 Donald A. Berry and Bert Fristedt Two-Armed Bandits with a Goal, II. Dependent Arms . . . . . . . . . . . . . 958--971 Sòren Glud Johansen and Shaler Stidham, Jr. Control of Arrivals to a Stochastic Input-Output System . . . . . . . . . . 972--999 J. Walrand and P. Varaiya Sojourn Times and the Overtaking Condition in Jacksonian Networks . . . . 1000--1018 Anonymous Volume Information . . . . . . . . . . . 1019--1026 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
D. T. Bishop and C. Cannings The War of Attrition with Random Rewards. II . . . . . . . . . . . . . . 1--1 R. N. Curnow Progeny Testing Using Presence/Absence Data . . . . . . . . . . . . . . . . . . 1--2 K. P. Donnelly Linkage, Complete Genetic Information and the Probability of Relationships Being Detectable . . . . . . . . . . . . 2--2 I. Heuch and M. Homleid A Simple Model for Linked Loci with Recombination Values Depending on the Genotype at One Locus . . . . . . . . . 3--3 W. G. Hill Estimation of Effective Population Size from Data on Linked Genes . . . . . . . 4--4 P. Holgate Rates of First Fixation in Finite Multilocus Populations . . . . . . . . . 4--5 Alan Robertson and W. G. Hill The Estimation of the Inbreeding Coefficient from Deviations from Hardy--Weinberg Equilibrium . . . . . . 5--5 J. Rostron Genetic Parameter Estimation. A General-Purpose Maximum Likelihood Program . . . . . . . . . . . . . . . . 6--6 S. P. Simpson Ascertainment When the Trait Has a Variable Age of Onset . . . . . . . . . 6--7 Jon Stene Comparisons of Assumptions for Different Ascertainment Models . . . . . . . . . . 7--8 E. A. Thompson Impossible Combinations of Gene Correlations . . . . . . . . . . . . . . 8--9 Robert Thomson and Cedric A. B. Smith Estimating the Frequencies of Origins of Trisomics . . . . . . . . . . . . . . . 9--11 Atam Vetta Fisher's Theory of Evolution of Dominance . . . . . . . . . . . . . . . 11--12 Angelika Wörz-Busekros Remarks on Genetic Algebras . . . . . . 13--13 Klaus Schürger A Class of Branching Processes on a Lattice with Interactions . . . . . . . 14--39 Colin McDiarmid General Percolation and Random Graphs 40--60 Richard Serfozo Optimal Control of Random Walks, Birth and Death Processes, and Queues . . . . 61--83 A. Fellous and J. Granara Statistique des processus de Poisson stationnaires de sous-variétés linéaires affines. (French) [Statistical of stationary Poisson process of linear affine submanifolds] . . . . . . . . . . 84--92 Samuel Karlin and Yosef Rinott Entropy Inequalities for Classes of Probability Distributions I. The Univariate Case . . . . . . . . . . . . 93--112 Ibrahim A. Ahmad The Exact Order of Normal Approximation in Bivariate Renewal Theory . . . . . . 113--128 W. Dunsmuir and P. M. Robinson Parametric Estimators for Stationary Time Series with Missing Observations 129--146 C. Atkinson and M. E. Thompson Analysis of Two Parallel Queues with Common Exit Service and Infinite Queue Size . . . . . . . . . . . . . . . . . . 147--166 Julian Köllerström A Second-Order Heavy Traffic Approximation for the Queue GI/G/1 . . . 167--185 H. C. Tijms and M. H. Van Hoorn and A. Federgruen Approximations for the Steady-State Probabilities in the M/G/c Queue . . . . 186--206 Ward Whitt Comparing Counting Processes and Queues 207--220 E. Nummelin Regeneration in Tandem Queues . . . . . 221--230 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
John B. Walsh A Stochastic Model of Neural Response 231--281 O. Barndorff-Nielsen and J. N. Darroch A Stochastic Model for Sand Sorting in a Wind-Tunnel . . . . . . . . . . . . . . 282--297 John C. Wierman Bond Percolation on Honeycomb and Triangular Lattices . . . . . . . . . . 298--313 G. R. Grimmett Critical Sponge Dimensions in Percolation Theory . . . . . . . . . . . 314--324 Samuel Karlin and Yosef Rinott Entropy Inequalities for Classes of Probability Distributions II. The Multivariate Case . . . . . . . . . . . 325--351 John B. Walsh Well-Timed Diffusion Approximations . . 352--368 Richard D. Bourgin and Robert Cogburn On Determining Absorption Probabilities for Markov Chains in Random Environments 369--387 Harry Cohn On a Paper by Doeblin on Non-Homogeneous Markov Chains . . . . . . . . . . . . . 388--401 V. V. Kalashnikov and S. A. Anichkin Continuity of Random Sequences and Approximation of Markov Chains . . . . . 402--414 Mark Finkelstein and Robert Whitley Optimal Strategies for Repeated Games 415--428 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Ethier and Thomas G. Kurtz The Infinitely-Many-Neutral-Alleles Diffusion Model . . . . . . . . . . . . 429--452 W. G. S. Hines and W. S. Moore An Analysis of Sex in Random Environments, I . . . . . . . . . . . . 453--463 David Tanny On Multitype Branching Processes in a Random Environment . . . . . . . . . . . 464--497 B. R. Bhat and S. R. Adke Maximum Likelihood Estimation for Branching Processes with Immigration . . 498--509 Gregory Campbell and Stephen M. Samuels Choosing the Best of the Current Crop 510--532 R.-D. Reiss Uniform Approximation to Distributions of Extreme Order Statistics . . . . . . 533--547 L. Tierney The Asymptotic Time to Failure of a Bundle of Fibers with Random Slacks . . 548--566 N. M. H. Smith and G. F. Yeo On a General Storage Problem and Its Approximating Solution . . . . . . . . . 567--602 Tomasz Rolski Queues with Non-Stationary Input Stream: Ross's Conjecture . . . . . . . . . . . 603--618 Yukio Takahashi Asymptotic Exponentiality of the Tail of the Waiting-Time Distribution in a PH/PH/c Queue . . . . . . . . . . . . . 619--630 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
W. A. O'N. Waugh Application of the Galton--Watson Process to the Kin Number Problem . . . 631--649 Martin Härnqvist Limit Theorems for Point Processes Generated in a General Branching Process 650--668 Elja Arjas and Priscilla Greenwood Competing Risks and Independent Minima: A Marked Point Process Approach . . . . 669--680 Anthony G. Pakes and Simon Tavaré Comments on the Age Distribution of Markov Processes . . . . . . . . . . . . 681--703 Harold Ruben The Lifetimes of Configuration States in Statistical Physics . . . . . . . . . . 704--719 A. D. Barbour and R. Schassberger Insensitive Average Residence Times in Generalized Semi-Markov Processes . . . 720--735 A. D. Barbour Brownian Motion and a Sharply Curved Boundary . . . . . . . . . . . . . . . . 736--750 William F. Eddy and James D. Gale The Convex Hull of a Spherically Symmetric Sample . . . . . . . . . . . . 751--763 P. Whittle Risk-Sensitive Linear/Quadratic/Gaussian Control . . . . . . . . . . . . . . . . 764--777 Yousri M. El-Fattah Gradient Approach for Recursive Estimation and Control in Finite Markov Chains . . . . . . . . . . . . . . . . . 778--803 M. E. Thompson Estimation of the Parameters of a Semi-Markov Process from Censored Records . . . . . . . . . . . . . . . . 804--825 A. J. Lawrance and P. A. W. Lewis A New Autoregressive Time Series Model in Exponential Variables (NEAR(1)) . . . 826--845 David Y. Burman Insensitivity in Queueing Systems . . . 846--859 Anonymous Volume Information . . . . . . . . . . . 860--862 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
K. N. Venkataraman A Time Series Approach to the Study of the Simple Subcritical Galton--Watson Process with Immigration . . . . . . . . 1--20 D. S. Freed and L. A. Shepp A Poisson Process Whose Rate Is a Hidden Markov Process . . . . . . . . . . . . . 21--36 Jacques-Edouard Dies Hendricks Libraries and Tsetlin Piles 37--55 Dorit Hochbaum and J. Michael Steele Steinhaus's Geometric Location Problem for Random Samples in the Plane . . . . 56--67 D. Gary Harlow and S. Leigh Phoenix Probability Distributions for the Strength of Fibrous Materials under Local Load Sharing I: Two-Level Failure and Edge Effects . . . . . . . . . . . . 68--94 Luke Tierney Asymptotic Bounds on the Time to Fatigue Failure of Bundles of Fibers under Local Load Sharing . . . . . . . . . . . . . . 95--121 Hans-Joachim Langen Applying the Method of Phases in the Optimization of Queuing Systems . . . . 122--142 Sòren Asmussen Conditioned Limit Theorems Relating a Random Walk to Its Associate, with Applications to Risk Reserve Processes and the GI/G/1 Queue . . . . . . . . . . 143--170 Ward Whitt On the Heavy-Traffic Limit Theorem for GI/G/$ \infty $ Queues . . . . . . . . . 171--190 Peter W. Glynn On the Markov Property of the GI/G/$ \infty $ Gaussian Limit . . . . . . . . 191--194 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. M. Allen Modelling Dynamic Self-Organization in Complex Systems . . . . . . . . . . . . 195--196 W. O. Friesen Organization of Neural Networks in the Invertebrates . . . . . . . . . . . . . 196--197 H. Haken Synergetics: An Approach to Complex Dynamic Systems . . . . . . . . . . . . 197--197 A. I. Mees Communication in Biological Cells . . . 197--198 J. S. Nicolis A Dynamic Approach to Language . . . . . 198--199 M. Peschel Modelling of Evolution Processes with Powder-Product Driving Forces . . . . . 199--200 M. Rejmánek Development of Structure at the Ecosystem Level: Succession and Stability . . . . . . . . . . . . . . . 200--201 P. Schuster Competition and Cooperation of Biological Macromolecules: An Experimentally Testable Model of Darwinian Evolution . . . . . . . . . . 201--202 N. Teodorescu Connection, State and Phenomena in General Systems . . . . . . . . . . . . 202--203 J. Tonnelat The Organization and Evolution of Living Systems as Normal Consequences of the Laws of Thermodynamics . . . . . . . . . 203--205 P. Whittle The Emergence of Structure, and Critical Effects . . . . . . . . . . . . . . . . 205--205 G. A. Watterson Mutant Substitutions at Linked Nucleotide Sites . . . . . . . . . . . . 206--224 R. C. Griffiths The Number of Alleles and Segregating Sites in a Sample from the Infinite-Alleles Model . . . . . . . . . 225--239 Jan Grandell Mathematical Models for the Variation of Air-Pollutant Concentrations . . . . . . 240--256 D. J. Daley and J. Haslett A Thermal Energy Storage Process with Controlled Input . . . . . . . . . . . . 257--271 Gérard Letac Les fonctions sphériques d'un couple de Gelfand symétrique et les cha\^\ines de Markov. (French) [Spherical functions of a symmetric Gelfand pair and Markov chains] . . . . . . . . . . . . . . . . 272--294 G. Fayolle and P. J. B. King and I. Mitrani The Solution of Certain Two-Dimensional Markov Models . . . . . . . . . . . . . 295--308 Victor C. Pestien An Extended Fatou Equation and Continuous-Time Gambling . . . . . . . . 309--323 Jonathan P. Cohen The Penultimate Form of Approximation to Normal Extremes . . . . . . . . . . . . 324--339 Joseph D. Petruccelli Full-Information Best-Choice Problems with Recall of Observations and Uncertainty of Selection Depending on the Observation . . . . . . . . . . . . 340--358 C. F. Klebaner Branching Random Walk in Varying Environments . . . . . . . . . . . . . . 359--367 R. L. Tweedie Operator-Geometric Stationary Distributions for Markov Chains, with Application to Queueing Models . . . . . 368--391 P. J. Brockwell and S. I. Resnick and R. L. Tweedie Storage Processes with General Release Rule and Additive Inputs . . . . . . . . 392--433 B. Natvig Two Suggestions of How to Define a Multistate Coherent System . . . . . . . 434--455 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Tokuzo Shiga Wandering Phenomena in Infinite-Allelic Diffusion Models . . . . . . . . . . . . 457--483 S. K. Srinivasan and C. R. Ranganathan On the Parity of Individuals in Birth and Death Processes . . . . . . . . . . 484--501 Bruce Hajek Hitting-Time and Occupation-Time Bounds Implied by Drift Analysis with Applications . . . . . . . . . . . . . . 502--525 Jacques-Edouard Dies Sur la transience de certaines chaines de Markov sur les permutations . . . . . 526--542 Richard J. Wilson and Robert J. Adler The Structure of Gaussian Fields near a Level Crossing . . . . . . . . . . . . . 543--565 Yih-Shyh Yuh Second-Order Corrections for Brownian Motion Approximations to First-Passage Probabilities . . . . . . . . . . . . . 566--581 Wolfgang Weil Inner Contact Probabilities for Convex Bodies . . . . . . . . . . . . . . . . . 582--599 Richard L. Smith Uniform Rates of Convergence in Extreme-Value Theory . . . . . . . . . . 600--622 Ludger Rüschendorf Random Variables with Maximum Sums . . . 623--632 F. P. Kelly The Throughput of a Series of Buffers 633--653 T. C. Brown and P. K. Pollett Some Distributional Approximations in Markovian Queueing Networks . . . . . . 654--671 Hans Daduna Passage Times for Overtake-Free Paths in Gordon--Newell Networks . . . . . . . . 672--686 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
R. H. Norden On the Distribution of the Time to Extinction in the Stochastic Logistic Population Model . . . . . . . . . . . . 687--708 P. J. Brockwell and J. Gani and S. I. Resnick Birth, Immigration and Catastrophe Processes . . . . . . . . . . . . . . . 709--731 H.-J. Schuh Seneta Constants for the Supercritical Bellman--Harris Process . . . . . . . . 732--751 E. A. Thompson Optimal Sampling for Pedigree Analysis: Tracing a Single Gene . . . . . . . . . 752--762 Knut Kristian Aase Stochastic Continuous-Time Model Reference Adaptive Systems with Decreasing Gain . . . . . . . . . . . . 763--788 Paul McGill Markov Properties of Diffusion Local Time: A Martingale Approach . . . . . . 789--810 Simeon M. Berman Sojourns and Extremes of a Diffusion Process on a Fixed Interval . . . . . . 811--832 Jonathan P. Cohen Convergence Rates for the Ultimate and Pentultimate Approximations in Extreme-Value Theory . . . . . . . . . . 833--854 Lennart Bondesson On Simulation from Infinitely Divisible Distributions . . . . . . . . . . . . . 855--869 J. B. G. Frenk The Behavior of the Renewal Sequence in Case the Tail of the Waiting-Time Distribution Is Regularly Varying with Index $ - 1 $ . . . . . . . . . . . . . 870--884 Michel Dehon and Guy Latouche A Geometric Interpretation of the Relations between the Exponential and Generalized Erlang Distributions . . . . 885--897 Michael L. Pinedo and Sheldon M. Ross Minimizing Expected Makespan in Stochastic Open Shops . . . . . . . . . 898--911 Anonymous Volume Information . . . . . . . . . . . 912--914 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Marek Kimmel The Point-Process Approach to Age- and Time-Dependent Branching Processes . . . 1--20 Ester Samuel-Cahn Simple Approximations to the Expected Waiting Time for a Cluster of Any Given Size, for Point Processes . . . . . . . 21--38 Ed Waymire and Vijay K. Gupta An Analysis of the Pólya Point Process 39--53 Holger Rootzén The Rate of Convergence of Extremes of Stationary Normal Sequences . . . . . . 54--80 B. L. S. Prakasa Rao Characterization of Stochastic Processes by Stochastic Integrals . . . . . . . . 81--98 Timo Ravaska On Analytical Methods for Incomplete Markov Random Fields . . . . . . . . . . 99--112 Elias Masry Non-Parametric Covariance Estimation from Irregularly-Spaced Data . . . . . . 113--132 Richard Holley Two Types of Mutually Annihilating Particles . . . . . . . . . . . . . . . 133--148 Colin McDiarmid General First-Passage Percolation . . . 149--161 Robert D. Foley and Ralph L. Disney Queues with Delayed Feedback . . . . . . 162--182 Donald L. Iglehart and Gerald S. Shedler Statistical Efficiency of Regenerative Simulation Methods for Networks of Queues . . . . . . . . . . . . . . . . . 183--197 Terje Aven Optimal Replacement under a Minimal Repair Strategy: A General Failure Model 198--211 M. J. Buckley and E. Seneta On Arnold's Treatment of Moran's Bounds 212--213 Yves Derriennic A Remark on the Time Constant in First-Passage Percolation . . . . . . . 214--215 Gunnar Blom The Mean Waiting Time to a Repetition 216--218 Frederick J. Beutler A Note on Multivariate Poisson Flows on Stochastic Processes . . . . . . . . . . 219--220 K. D. Glazebrook Some Reward-Penalty Rules for the Multi-Armed Bandit Problem Which Are Asymptotically Optimal . . . . . . . . . 221--222 Anonymous Correction: The Lifetimes of Configuration States in Statistical Physics . . . . . . . . . . . . . . . . 223--223 Anonymous Correction: Two Suggestions of How to Define a Multistate Coherent System . . 223--223 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Ioannis Karatzas A Class of Singular Stochastic Control Problems . . . . . . . . . . . . . . . . 225--254 Gerhard Becker and Götz Kersting Design Problems for the Pure Birth Process . . . . . . . . . . . . . . . . 255--273 Arie Hordijk and Frank A. Van Der Duyn Schouten Average Optimal Policies in Markov Decision Drift Processes with Applications to a Queueing and a Replacement Model . . . . . . . . . . . 274--303 Richard L. Smith Limit Theorems and Approximations for the Reliability of Load-Sharing Systems 304--330 Wagner De Souza Borges On the Limiting Distribution of the Failure Time of Fibrous Materials . . . 331--348 Jeffrey J. Hunter Filtering of Markov Renewal Queues, I: Feedback Queues . . . . . . . . . . . . 349--375 Jeffrey J. Hunter Filtering of Markov Renewal Queues, II: Birth--Death Queues . . . . . . . . . . 376--391 Jos H. A. De Smit The Queue GI/M/s with Customers of Different Types or the Queue GI/H$_m$ /s 392--419 Julian Keilson and Ushio Sumita The Depletion Time for M/G/1 Systems and a Related Limit Theorem . . . . . . . . 420--443 Thomas Kuczek On the GA/G/$ \infty $ Queue . . . . . . 444--459 Peter Albrecht A Note on a Limiting Behaviour of the Occurrence Times of a Mixed Poisson Process . . . . . . . . . . . . . . . . 460--460 Magda Peligrad A Note on Two Measures of Dependence and Mixing Sequences . . . . . . . . . . . . 461--464 J. Van Den Berg A Counterexample to a Conjecture of J. M. Hammersley and D. J. A. Welsh concerning First-Passage Percolation . . 465--467 Pantelis Tsoucas and Jean Walrand A Note on the Processor-Sharing Queue in a Quasi-Reversible Network . . . . . . . 468--469 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Karlin and Uri Liberman Measuring Interference in the Chiasma Renewal Formation Process . . . . . . . 471--487 B. Gail Ivanoff The Critical Branching Diffusion in a Varying Environment . . . . . . . . . . 488--506 G. Bordes and B. Roehner Application of Stieltjes Theory for $S$-Fractions to Birth and Death Processes . . . . . . . . . . . . . . . 507--530 Hermann Thorisson The Coupling of Regenerative Processes 531--561 Dag Tjòstheim Statistical Spatial Series Modelling II: Some Further Results on Unilateral Lattice Processes . . . . . . . . . . . 562--584 A. D. Barbour and G. K. Eagleson Poisson Approximation for Some Statistics Based on Exchangeable Trials 585--600 Albert W. Marshall and Moshe Shaked New Better than Used Processes . . . . . 601--615 Kyung Y. Jo and Shaler Stidham, Jr. Optimal Service-Rate Control of M/G/1 Queueing Systems Using Phase Methods . . 616--637 F. P. Kelly and P. K. Pollett Sojourn Times in Closed Queueing Networks . . . . . . . . . . . . . . . . 638--656 Mark Berman and Mark Westcott On Queueing Systems with Renewal Departure Processes . . . . . . . . . . 657--673 H. Kaspi and D. Perry Inventory Systems of Perishable Commodities . . . . . . . . . . . . . . 674--685 J. V. Deshpande and S. C. Kochar Dispersive Ordering Is the Same as Tail-Ordering . . . . . . . . . . . . . 686--687 B. W. Conolly More Transient Results for Generalised State-Dependent Erlangian Queues . . . . 688--690 Peter W. Hovey and Peter Purdue An Inventory System with Both Delayed and Immediate Delivery . . . . . . . . . 691--694 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Robert Bartoszy\'nski and Prem S. Puri On Two Classes of Interacting Stochastic Processes Arising in Cancer Modeling . . 695--712 F. W. Steutel and W. Vervaat and S. J. Wolfe Integer-Valued Branching Processes with Immigration . . . . . . . . . . . . . . 713--725 C. M. Newman and Y. Rinott and A. Tversky Nearest Neighbors and Voronoi Regions in Certain Point Processes . . . . . . . . 726--751 W. Henderson Insensitivity and Reversed Markov Processes . . . . . . . . . . . . . . . 752--768 P. Whittle Relaxed Markov Processes . . . . . . . . 769--782 James Pickands III Extreme Order Statistics with Cost of Sampling . . . . . . . . . . . . . . . . 783--797 Monique Pontier and Jacques Szpirglas Arrêt optimal avec contrainte. (French) [Optimal stopping with constraints] . . 798--812 Debasis Mitra and J. A. Morrison Asymptotic Expansions of Moments of the Waiting Time in Closed and Open Processor-Sharing Systems with Multiple Job Classes . . . . . . . . . . . . . . 813--839 J. Keilson and U. Sumita Evaluation of the Total Time in System in a Preempt/Resume Priority Queue via a Modified Lindley Process . . . . . . . . 840--856 O. J. Boxma The Cyclic Queue with One General and One Exponential Server . . . . . . . . . 857--873 Masakiyo Miyazawa The Derivation of Invariance Relations in Complex Queueing Systems with Stationary Inputs . . . . . . . . . . . 874--885 Dietmar Pfeifer A Note on the Occurrence Times of a Pólya--Lundberg Process . . . . . . . . . 886--886 H. Künsch Asymptotically Unbiased Inference for Ising Models . . . . . . . . . . . . . . 887--888 James Lynch and Gillian Mimmack and Frank Proschan Dispersive Ordering Results . . . . . . 889--891 Luke Tierney The Hazards of Optimal Proofreading . . 892--893 Anonymous Volume Information . . . . . . . . . . . 894--896 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 1--2 Anonymous Introduction . . . . . . . . . . . . . . 3--4 M. S. Bartlett and Erhan Çinlar and M. F. Neuts and P. Purdue Keynote Addresses and Discussion . . . . 4--6 David Y. Burman and Donald R. Smith and Ralph L. Disney and Jagadeesh Chandramohan and William A. Massey and Marcel F. Neuts and E. Arjas and P. Haara and R. L. Tweedie and J. S. Baras and A. J. Dorsey and A. M. Makowski and Jos H. A. De Smit and Kyung Y. Jo and Arnold Greenland and P. K. Reeser and David D. W. Yao and J. A. Buzacott Recent Developments in Queueing . . . . 6--9 B. T. Dishi and H. Heffes and Alan G. Konheim and Guy Latouche and Yukio Takahashi and Sòren Asmussen and Yoshifusa Ito and G. Koch and P. J. C. Spreij and F. J. Massey III and D. F. Miller Computers and Simulation . . . . . . . . 10--13 V. E. Benes and M. H. A. Davis and Wendell H. Fleming and Ioannis Karatzas and Steven E. Shreve and C. A. Glasbey and M. B. McGechan and Gary Gottlieb and Benny Levikson and A. Hordijk and F. A. Van Der Duyn Schouten and Domokos Vermes Stochastic Control . . . . . . . . . . . 14--16 J. W. Delleur and Vijay K. Gupta and R. N. Bhattacharya and V. Klemes and Richard L. Smith and P. Todorovic and Stuart J. Deutsch and José A. Ramos and Van-Thanh-Van Nguyen and David K. Pickard and Elmer M. Tory and James A. Smith and Alan F. Karr and Samuel W. Woolford Stochastic Hydrology . . . . . . . . . . 17--23 Robert Bartoszy\'nski and M. J. Faddy and P. D. M. MacDonald and S. F. L. Gallot and James H. King and Joshua Chover and Israel David and Uri Yechiali General Models in Biology . . . . . . . 23--25 C. C. Heyde and Richard J. Kryscio and Douglas R. Miller and Simon Tavaré and Warren W. Esty and Colm Art O'Cinneide and R. R. Kocherlakota and Rakesh K. Shukla and R. C. Srivastava Epidemic and Genetic Models . . . . . . 26--29 F. C. Klebaner On Population-Size-Dependent Branching Processes . . . . . . . . . . . . . . . 30--55 John L. Spouge A Branching-Process Solution of the Polydisperse Coagulation Equation . . . 56--69 William S. Griffith and Richard J. Kryscio and Peter Purdue A Stochastic Model of Particle Shattering . . . . . . . . . . . . . . . 70--87 Gunnar Englund Obtaining Remainder Term Estimates by an Inversion Technique . . . . . . . . . . 88--110 Joseph D. Petruccell Best-Choice Problems Involving Recall and Uncertainty of Selection When the Number of Observations Is Random . . . . 111--130 Gregory Campbell Optimal Selection Based on Relative Ranks of a Sequence with Ties . . . . . 131--146 I. B. Gertsbakh Asymptotic Methods in Reliability Theory: A Review . . . . . . . . . . . . 147--175 William A. Massey Open Networks of Queues: Their Algebraic Structure and Estimating Their Transient Behavior . . . . . . . . . . . . . . . . 176--201 R. Schassberger A New Approach to the M/G/1 Processor-Sharing Queue . . . . . . . . 202--213 U. Jensen Some Remarks on the Renewal Function of the Uniform Distribution . . . . . . . . 214--215 P. G. Harrison A Note on Cycle Times in Tree-like Queueing Networks . . . . . . . . . . . 216--219 Anonymous Correction: Statistical Spatial Series Modelling . . . . . . . . . . . . . . . 220--220 Anonymous Back Matter . . . . . . . . . . . . . . ??
Peter Jagers and Olle Nerman The Growth and Composition of Branching Populations . . . . . . . . . . . . . . 221--259 Shoichiro Seno and Tokuzo Shiga Diffusion Models of Temporally Varying Selection in Population Genetics . . . . 260--280 Gilles A. Blum A Limit Theorem for Discrete-Parameter Random Evolutions . . . . . . . . . . . 281--292 Leonard Gallardo Comportement asymptotique des marches aléatoires associées aux polynômes de Gegenbauer et applications. (French) [Asymptotic behavior of random walks associated with Gegenbauer polynomials and applications] . . . . . . . . . . . 293--323 Wolfgang Weil and John A. Wieacker Densities for Stationary Random Sets and Point Processes . . . . . . . . . . . . 324--346 Eric Slud Multivariate Dependent Renewal Processes 347--362 J. G. Shanthikumar and Ushio Sumita Distribution Properties of the System Failure Time in a General Shock Model 363--377 A. G. De Kok and H. C. Tijms and F. A. Van Der Duyn Schouten Approximations for the Single-Product Production-Inventory Problem with Compound Poisson Demand and Service-Level Constraints . . . . . . . 378--401 H. Kaspi and D. Perry Inventory Systems for Perishable Commodities with Renewal Input and Poisson Output . . . . . . . . . . . . . 402--421 Jeffrey J. Hunter Filtering of Markov Renewal Queues, III: Semi-Markov Processes Embedded in Feedback Queues . . . . . . . . . . . . 422--436 Ralph L. Disney and Dieter König and Volker Schmidt Stationary Queue-Length and Waiting-Time Distributions in Single-Server Feedback Queues . . . . . . . . . . . . . . . . . 437--446 G. I. Falin On Sufficient Conditions for Ergodicity of Multichannel Queueing Systems with Repeated Calls . . . . . . . . . . . . . 447--448 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
M. S. Bartlett Recent Investigations Involving Stochastic Population Models . . . . . . 449--470 Ian W. Saunders and Simon Tavaré and G. A. Watterson On the Genealogy of Nested Subsamples from a Haploid Population . . . . . . . 471--491 E. J. Hannan and L. Kavalieris Multivariate Linear Time Series Models 492--561 Enzo Orsingher Damped Vibrations Excited by White Noise 562--584 Shigeru Mase Locally Asymptotic Normality of Gibbs Models on a Lattice . . . . . . . . . . 585--602 Michael Stein System Parameters Governed by Jump Processes: A Model for Removal of Air Pollutants . . . . . . . . . . . . . . . 603--617 Lajos Takács Random Flights on Regular Graphs . . . . 618--637 P. H. Roberts and D. E. Winch On Random Rotations . . . . . . . . . . 638--655 Bernard Ycart L'application des representations au calcul explicite sur certaines cha\^\ines de Markov finies. (French) [The application of the representations to explicit calculation on some finite Markov chains] . . . . . . . . . . . . . 656--666 J. G. Shanthikumar Processes with New Better than Used First-Passage Times . . . . . . . . . . 667--686 J. Gani and Pyke Tin Immigration in the Two-Sex Population Process . . . . . . . . . . . . . . . . 687--689 J. Van Den Berg Disproof of the Conjectured Subexponentiality of Certain Functions in Percolation Theory . . . . . . . . . 690--691 Y. S. Sathe A Comment on Star-Ordering and Tail-Ordering . . . . . . . . . . . . . 692--692 D. J. Saunders Dispersive Ordering of Distributions . . 693--694 G. I. Falin Quasi-Input Process in the M/G/1/$ \infty $ Queue . . . . . . . . . . . . . 695--696 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
K. V. Mitov and V. A. Vatutin and N. M. Yanev Continuous-Time Branching Processes with Decreasing State-Dependent Immigration 697--714 D. P. Gaver and P. A. Jacobs and G. Latouche Finite Birth-and-Death Models in Randomly Changing Environments . . . . . 715--731 Hans-Otto Georgii On the Ferromagnetic and the Percolative Region of Random Spin Systems . . . . . 732--765 S. P. Lalley Limit Theorems for First-Passage Times in Linear and Non-Linear Renewal Theory 766--803 Moshe Haviv and Ludo Van Der Heyden Perturbation Bounds for the Stationary Probabilities of a Finite Markov Chain 804--818 K. F. Turkman and A. M. Walker On the Asymptotic Distributions of Maxima of Trigonometric Polynomials with Random Coefficients . . . . . . . . . . 819--842 M. Deistler and B. M. Pötscher The Behaviour of the Likelihood Function for ARMA Models . . . . . . . . . . . . 843--866 Hans Daduna Burke's Theorem on Passage Times in Gordon--Newell Networks . . . . . . . . 867--886 F. Baccelli and P. Boyer and G. Hebuterne Single-Server Queues with Impatient Customers . . . . . . . . . . . . . . . 887--905 Uwe Jansen Conditional Expected Sojourn Times in Insensitive Queueing Systems and Networks . . . . . . . . . . . . . . . . 906--919 P. Salminen On Conditional Ornstein--Uhlenbeck Processes . . . . . . . . . . . . . . . 920--922 I. B. Gertsbakh Optimal Group Preventive Maintenance of a System with Observable State Parameter 923--925 Pantelis Tsoucas and Jean Walrand A Note on Stochastic Bounds for Queueing Networks . . . . . . . . . . . . . . . . 926--928 M. F. Ramalhoto Bounds for the Variance of the Busy Period of the M/G/$ \infty $ Queue . . . 929--932 N. Ravichandran and A. Gravey Some Comments on the Simple Queue . . . 933--935 Anonymous Volume Information . . . . . . . . . . . 936--940 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank Ball Deterministic and Stochastic Epidemics with Several Kinds of Susceptibles . . . 1--22 Anthony G. Pakes and A. C. Trajstman Some Properties of Continuous-State Branching Processes, with Applications to Bartoszy\'nski's Virus Model . . . . 23--41 P. J. Brockwell The Extinction Time of a Birth, Death and Catastrophe Process and of a Related Diffusion Model . . . . . . . . . . . . 42--52 K. B. Athreya Discounted Branching Random Walks . . . 53--66 Wolfgang Woess Random Walks and Periodic Continued Fractions . . . . . . . . . . . . . . . 67--84 H. E. Daniels and T. H. R. Skyrme The Maximum of a Random Walk Whose Mean Path Has a Maximum . . . . . . . . . . . 85--99 D. McDonald An Invariance Principle for Semi-Markov Processes . . . . . . . . . . . . . . . 100--126 Jagadeesh Chandramohan and Robert D. Foley and Ralph L. Disney Thinning of Point Processes: Covariance Analyses . . . . . . . . . . . . . . . . 127--146 A. D. Barbour and G. K. Eagleson Multiple Comparisons and Sums of Dissociated Random Variables . . . . . . 147--162 J. A. Morrison and D. Mitra Heavy-Usage Asymptotic Expansions for the Waiting Time in Closed Processor-Sharing Systems with Multiple Classes . . . . . . . . . . . . . . . . 163--185 J. S. Baras and A. J. Dorsey and A. M. Makowski Two Competing Queues with Linear Costs and Geometric Service Requirements: The $ \mu c$-Rule Is Often Optimal . . . . . 186--209 Peter Hall On Inference in a One-Dimensional Mosaic and an M/G/$ \infty $ Queue . . . . . . 210--229 D. J. Daley What Is a Two-Sex Population Process? 230--230 Dietmar Pfeifer An Average-Case Analysis for a Continuous Random Search Algorithm . . . 231--233 David Perry An Inventory System for Perishable Commodities with Random Lifetime . . . . 234--236 C. Buyukkoc and P. Varaiya and J. Walrand The $ c \mu $ Rule Revisited . . . . . . 237--238 Mark Berman A Simple Proof of a Result of Iglehart and Shedler . . . . . . . . . . . . . . 239--241 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Peter Purdue and J. Gani Introduction . . . . . . . . . . . . . . 243--244 C. C. Heyde Lectures on Inference for Stochastic Processes . . . . . . . . . . . . . . . 244--245 Robert Bartoszy\'nski On Metastatic Progression of Cancer . . 245--246 Joel E. Cohen Measuring the Uncertainty of Population Forecasts: A Comparison of Two Approaches . . . . . . . . . . . . . . . 246--247 V. P. Godambe Optimal Estimation for Finite Samples in Stochastic Processes . . . . . . . . . . 247--249 Ioannis Karatzas An Overview of Stochastic Filtering Theory . . . . . . . . . . . . . . . . . 249--251 Alan F. Karr Inference for Stationary Point Processes 251--252 John P. Lehoczky Inference Problems for Random-Parameter Stochastic Processes . . . . . . . . . . 252--253 David K. Pickard Statistical Inference on Discrete Markov Fields . . . . . . . . . . . . . . . . . 253--254 Richard Davis and Sidney Resnick Tail Estimates Motivated by Extreme-Value Theory . . . . . . . . . . 254--256 C. Srinivasan Estimation in a Galton--Watson Process 256--256 Lars Holst and Jürg Hüsler Sequential urn Schemes and Birth Processes . . . . . . . . . . . . . . . 257--279 M. Aronowich and R. J. Adler Behaviour of $ \chi^2 $ Processes at Extrema . . . . . . . . . . . . . . . . 280--297 Pravin K. Johri and Michael N. Katehakis Further Insight into the Structure of Bold and Timid Policies . . . . . . . . 298--307 D. G. Kendall Exact Distributions for Shapes of Random Triangles in Convex Sets . . . . . . . . 308--329 Peter Hall Macroscopic Properties of a Linear Mosaic . . . . . . . . . . . . . . . . . 330--346 Ushio Sumita and J. George Shanthikumar A Class of Correlated Cumulative Shock Models . . . . . . . . . . . . . . . . . 347--366 D. J. Gates On the Optimal Composition of Electricity Grids with Unreliable Units: Solvable Models . . . . . . . . . . . . 367--385 Jeffrey J. Hunter Filtering of Markov Renewal Queues, IV: Flow Processes in Feedback Queues . . . 386--407 Jewgeni Dshalalow On the Multiserver Queue with Finite Waiting Room and Controlled Input . . . 408--423 A. Federgruen and P. Zipkin Computing Optimal (s,S) Policies in Inventory Models with Continuous Demands 424--442 Prem S. Puri and Eric S. Tollar On the Limit Behavior of Certain Quantities in a Subcritical Storage Model . . . . . . . . . . . . . . . . . 443--459 John Haigh and Richard P. Lewis Conditional Probabilities in Moran's Model . . . . . . . . . . . . . . . . . 460--462 Fred M. Hoppe A Note on Markov Branching Processes . . 463--464 Bertrand Roehner and Peter Winiwarter Aggregation of Independent Paretian Random Variables . . . . . . . . . . . . 465--469 Dietmar Pfeifer On a Relationship between Record Values and Ross's Model of Algorithm Efficiency 470--471 J. Bartoszewicz Dispersive Ordering and Monotone Failure Rate Distributions . . . . . . . . . . . 472--474 Anonymous Correction: The Maximum of a Random Walk Whose Mean Path Has a Maximum . . . . . 475--475 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Gianpaolo Scalia-Tomba Asymptotic Final-Size Distribution for Some Chain-Binomial Processes . . . . . 477--495 Thomas A. Darden and Michael A. Resnick DNA Fragment Mass Distributions Following Molecular Recombination . . . 496--513 Erik A. Van Doorn Conditions for Exponential Ergodicity and Bounds for the Decay Parameter of a Birth--Death Process . . . . . . . . . . 514--530 R. Mitchell Cox and Ioannis Karatzas Stationary Control of Brownian Motion in Several Dimensions . . . . . . . . . . . 531--561 Emmanuel Yashchin On a Unified Approach to the Analysis of Two-Sided Cumulative Sum Control Schemes with Headstarts . . . . . . . . . . . . 562--593 Ora E. Percus Phase Transition in One-Dimensional Random Walk with Partially Reflecting Boundaries . . . . . . . . . . . . . . . 594--606 Leon Willenborg The Thrown String: A Markov Field Approach . . . . . . . . . . . . . . . . 607--622 Paul Embrechts and Jens L. Jensen and Makoto Maejima and J. L. Teugels Approximations for Compound Poisson and Pólya Processes . . . . . . . . . . . . . 623--637 Espen Funnemark and Bent Natvig Bounds for the Availabilities in a Fixed Time Interval for Multistate Monotone Systems . . . . . . . . . . . . . . . . 638--665 K. S. Chan and H. Tong On the Use of the Deterministic Lyapunov Function for the Ergodicity of Stochastic Difference Equations . . . . 666--678 John Seaman and Pat Odell On Goldstein's Variance Bound . . . . . 679--681 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Ushio Sumita and Masaaki Kijima The Bivariate Laguerre Transform and Its Applications: Numerical Exploration of Bivariate Processes . . . . . . . . . . 683--708 Lothar Heinrich and Volker Schmidt Normal Convergence of Multidimensional Shot Noise and Rates of This Convergence 709--730 Norman Kaplan and Thomas Darden The Behavior of the Ratio of a Small-Noise Markov Chain to Its Deterministic Approximation . . . . . . 731--747 T. K. Sheng The Distance between Two Random Points in Plane Regions . . . . . . . . . . . . 748--773 Peter Waksman Plane Polygons and a Conjecture of Blaschke's . . . . . . . . . . . . . . . 774--793 Charles M. Newman and Yosef Rinott Nearest Neighbors and Voronoi Volumes in High-Dimensional Point Processes with Various Distance Functions . . . . . . . 794--809 Jürgen Franke ARMA Processes Have Maximal Entropy among Time Series with Prescribed Autocovariances and Impulse Responses 810--840 Dominique Picard Testing and Estimating Change-Points in Time Series . . . . . . . . . . . . . . 841--867 V. V. Kalashnikov and S. T. Rachev Characterization Problems in Queueing and Their Stability . . . . . . . . . . 868--886 Per Hokstad Relations for the Workload of the GI/G/s Queue . . . . . . . . . . . . . . . . . 887--904 Chris A. J. Klaassen Strong Unimodality . . . . . . . . . . . 905--907 D. J. Gates Asymptotics of Two Integrals from Optimization Theory and Geometric Probability . . . . . . . . . . . . . . 908--910 Gérard Letac A Characterization of the Gamma Distribution . . . . . . . . . . . . . . 911--912 Y. S. Sathe Improved Bounds for the Variance of the Busy Period of the M/G/$ \infty $ Queue 913--914 Anonymous Volume Information . . . . . . . . . . . 915--917 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Peter Donnelly and Simon Tavaré The Ages of Alleles and a Coalescent . . 1--19 A. Joffe and M. Metivier Weak Convergence of Sequences of Semimartingales with Applications to Multitype Branching Processes . . . . . 20--65 Sidney I. Resnick Point Processes, Regular Variation and Weak Convergence . . . . . . . . . . . . 66--138 Boris Pittel Paths in a Random Digital Tree: Limiting Distributions . . . . . . . . . . . . . 139--155 G. S. Watson The Shapes of a Random Sequence of Triangles . . . . . . . . . . . . . . . 156--169 Marc Hallin Non-Stationary $q$-Dependent Processes and Time-Varying Moving-Average Models: Invertibility Properties and the Forecasting Problem . . . . . . . . . . 170--210 Andreas Brandt The Stochastic Equation $ Y_{n + 1} = A_n Y_n + B_n $ with Stationary Coefficients . . . . . . . . . . . . . . 211--220 Marcel F. Neuts The Caudal Characteristic Curve of Queues . . . . . . . . . . . . . . . . . 221--254 Philippe Nain On a Generalization of the Preemptive Resume Priority . . . . . . . . . . . . 255--273 G. S. Watson An Ordering Inequality for Exchangeable Random Variables . . . . . . . . . . . . 274--276 P. Capéra\`a Caracterisation des lois fortement unimodales. (French) [Characterization of strongly unimodal laws] . . . . . . . 277--278 Walter Katzenbeisser and Wolfgang Panny A Note on the Higher Moments of the Random Variable $T$ Associated with the Number of Returns of a Simple Random Walk . . . . . . . . . . . . . . . . . . 279--282 C. Fricker Étude d'une file GI/G/1 \`a service autonome (avec vacances du serveur). (French) [Study of a GI/G/1 queue in standalone service (with server outages)] . . . . . . . . . . . . . . . 283--286 Anonymous Back Matter . . . . . . . . . . . . . . 287--287 Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank Ball A Unified Approach to the Distribution of Total Size and Total Area under the Trajectory of Infectives in Epidemic Models . . . . . . . . . . . . . . . . . 289--310 Robert P. Kertz Comparison of Optimal Value and Constrained Maxima Expectations for Independent Random Variables . . . . . . 311--340 Frederick J. Beutler and Keith W. Ross Time-Average Optimal Constrained Semi-Markov Decision Processes . . . . . 341--359 R. J. Bhansali A Derivation of the Information Criteria for Selecting Autoregressive Models . . 360--387 M. F. Schilling Mutual and Shared Neighbor Probabilities: Finite- and Infinite-Dimensional Results . . . . . . 388--405 Alan F. Karr Inference for Stationary Random Fields Given Poisson Samples . . . . . . . . . 406--422 James W. Drosen Pure Jump Shock Models in Reliability 423--440 Guy Fayolle and Philippe Flajolet and Micha Hofri On a Functional Equation Arising in the Analysis of a Protocol for a Multi-Access Broadcast Channel . . . . . 441--472 F. P. Kelly Blocking Probabilities in Large Circuit-Switched Networks . . . . . . . 473--505 Alan Weiss A New Technique for Analyzing Large Traffic Systems . . . . . . . . . . . . 506--532 Marcel F. Neuts A New Informative Embedded Markov Renewal Process for the PH/G/1 Queue . . 533--557 D. R. Cox and Valerie Isham The Virtual Waiting-Time and Related Processes . . . . . . . . . . . . . . . 558--573 Richard F. Serfozo Heredity of Stationary and Reversible Stochastic Processes . . . . . . . . . . 574--576 Bent Natvig Improved Upper Bounds for the Availabilities in a Fixed Time Interval for Multistate Monotone Systems . . . . 577--579 Anonymous Correction: ARMA Processes Have Maximal Entropy among Time Series with Prescribed Autocovariances and Impulse Responses . . . . . . . . . . . . . . . 580--580 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Eric Renshaw A Survey of Stepping-Stone Models in Population Dynamics . . . . . . . . . . 581--627 Anthony G. Pakes Some Properties of a Branching Process with Group Immigration and Emigration 628--645 Steven P. Ellis A Limit Theorem for Spatial Point Processes . . . . . . . . . . . . . . . 646--659 C. Radhakrishna Rao and D. N. Shanbhag Recent Results on Characterization of Probability Distributions: A Unified Approach through Extensions of Deny's Theorem . . . . . . . . . . . . . . . . 660--678 Ed McKenzie Autoregressive Moving-Average Processes with Negative-Binomial and Geometric Marginal Distributions . . . . . . . . . 679--705 P. Whittle Partial Balance, Insensitivity and Weak Coupling . . . . . . . . . . . . . . . . 706--723 W. J. R. Eplett Continuous-Time Allocation Indices and Their Discrete-Time Approximation . . . 724--746 Debasis Mitra and Fabio Romeo and Alberto Sangiovanni-Vincentelli Convergence and Finite-Time Behavior of Simulated Annealing . . . . . . . . . . 747--771 M. J. M. Posner and D. Zuckerman Semi-Markov Shock Models with Additive Damage . . . . . . . . . . . . . . . . . 772--790 R. Schassberger Two Remarks on Insensitive Stochastic Models . . . . . . . . . . . . . . . . . 791--814 W\ladys\law Szczotka Stationary Representation of Queues. I 815--848 W\ladys\law Szczotka Stationary Representation of Queues. II 849--859 E. Seneta An Inequality from Genetics . . . . . . 860--861 M. Naim Yunus A Simple Derivation of an Approximation to the Transient Blocking Probability in a Loss System . . . . . . . . . . . . . 862--863 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Svante Janson Moments for First-Passage and Last-Exit Times, the Minimum, and Related Quantities for Random Walks with Positive Drift . . . . . . . . . . . . . 865--879 P. K. Pollett Connecting Reversible Markov Processes 880--900 Michael Aronowich and Robert J. Adler Extrema and Level Crossings of $ \chi^2 $ Processes . . . . . . . . . . . . . . 901--920 Bent Natvig and Skule Sòrmo and Arne T. Holen and Gutorm Hògåsen Multistate Reliability Theory: A Case Study . . . . . . . . . . . . . . . . . 921--932 M. S. Ali Khan An Infinite Dam with Random Withdrawal Policy . . . . . . . . . . . . . . . . . 933--951 Marcel F. Neuts Generalizations of the Pollaczek--Khinchin Integral Equation in the Theory of Queues . . . . . . . . . . 952--990 V. Giorno and A. G. Nobile and L. M. Ricciardi On Some Diffusion Approximations to Queueing Systems . . . . . . . . . . . . 991--1014 Hasse Carlsson and Olle Nerman An Alternative Proof of Lorden's Renewal Inequality . . . . . . . . . . . . . . . 1015--1016 J.-P. Imhof On the Time Spent above a Level by Brownian Motion with Negative Drift . . 1017--1018 A. N. Ahmed and A. Alzaid and J. Bartoszewicz and S. C. Kochar Dispersive and Superadditive Ordering 1019--1022 Anonymous Correction: The Ages of Alleles and a Coalescent . . . . . . . . . . . . . . . 1023--1023 Anonymous Volume Information . . . . . . . . . . . 1024--1025 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Murad S. Taqqu and Walter Willinger The Analysis of Finite Security Markets Using Martingales . . . . . . . . . . . 1--25 Bernhard Mellein A Nucleation-Growth Process on the Integers . . . . . . . . . . . . . . . . 26--43 Kiyomasa Narita Asymptotic Analysis for Interactive Oscillators of the van der Pol Type . . 44--80 Wilfrid S. Kendall and Mark Westcott One-Dimensional Classical Scattering Processes and the Diffusion Limit . . . 81--105 Simeon M. Berman Poisson and Extreme Value Limit Theorems for Markov Random Fields . . . . . . . . 106--122 Moshe Shaked and J. George Shanthikumar Multivariate Hazard Rates and Stochastic Ordering . . . . . . . . . . . . . . . . 123--137 S. G. Ghurye Some Multivariate Lifetime Distributions 138--155 M. H. A. Davis and M. A. H. Dempster and S. P. Sethi and D. Vermes Optimal Capacity Expansion under Uncertainty . . . . . . . . . . . . . . 156--176 E. G. Coffman, Jr. and L. Flatto and M. R. Garey and R. R. Weber Minimizing Expected Makespans on Uniform Processor Systems . . . . . . . . . . . 177--201 Richard R. Weber and Shaler Stidham, Jr. Optimal Control of Service Rates in Networks of Queues . . . . . . . . . . . 202--218 Debasis Mitra Asymptotic Analysis and Computational Methods for a Class of Simple, Circuit-Switched Networks with Blocking 219--239 Teunis J. Ott On the Stationary Waiting-Time Distribution in the GI/G/1 Queue, I: Transform Methods and Almost-Phase-Type Distributions . . . . . . . . . . . . . 240--265 Teunis J. Ott The Single-Server Queue with Independent GI/G and M/G Input Streams . . . . . . . 266--286 Marcel F. Neuts A Non-Renewal Process with Renewal Counting Distributions . . . . . . . . . 287--288 Christine Fricker Note sur un mod\`ele de file GI/G/1 \`a service autonome (avec vacances du serveur). (French) [Note on a model of GI/G/1 queue with standalone service (with server outages)] . . . . . . . . . 289--291 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Karlin and Friedemann Ost Counts of Long Aligned Word Matches among Random Letter Sequences . . . . . 293--351 Peter Kotelenez Fluctuations near Homogeneous States of Chemical Reactions with Diffusion . . . 352--370 Peter Hall On the Amount of Detail That Can Be Recovered from a Degraded Signal . . . . 371--395 Igor Rychlik Regression Approximations of Wavelength and Amplitude Distributions . . . . . . 396--430 P. K. Pollett Preserving Partial Balance in Continuous-Time Markov Chains . . . . . 431--453 E. G. Coffman, Jr. and L. Flatto and R. R. Weber Optimal Selection of Stochastic Intervals under a Sum Constraint . . . . 454--473 Volker Schmidt On Joint Queue-Length Characteristics in Infinite-Server Tandem Queues with Heavy Traffic . . . . . . . . . . . . . . . . 474--486 O. Bronshtein and I. Gertsbakh and B. Pittel and S. Shahaf One-Node Closed Multichannel Service System: Several Types of Customers and Service Rates, and Random Pick-up from the Waiting Line . . . . . . . . . . . . 487--504 Adrienne W. Kemp The Moments of the Random Variable for the Number of Returns of a Simple Random Walk . . . . . . . . . . . . . . . . . . 505--507 Elaine Recsei and E. Seneta Bonferroni-Type Inequalities . . . . . . 508--511 John A. Lane The Berry--Esseen Bound for the Poisson Shot-Noise . . . . . . . . . . . . . . . 512--514 Pantelis Tsoucas and Jean Walrand On the Interchangeability and Stochastic Ordering of $ \cdot $ /M/1 Queues in Tandem . . . . . . . . . . . . . . . . . 515--520 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. D. Biggins and C. Cannings Markov Renewal Processes, Counters and Repeated Sequences in Markov Chains . . 521--545 Steven P. Ellis Second-Order Approximation to the Characteristic Function of Certain Point-Process Integrals . . . . . . . . 546--559 Joseph Abate and Ward Whitt Transient Behavior of Regulated Brownian Motion, I: Starting at the Origin . . . 560--598 Joseph Abate and Ward Whitt Transient Behavior of Regulated Brownian Motion, II: Non-Zero Initial Conditions 599--631 Ushio Sumita and Yasushi Masuda Classes of Probability Density Functions Having Laplace Transforms with Negative Zeros and Poles . . . . . . . . . . . . 632--651 K. Sobczyk Stochastic Models for Fatigue Damage of Materials . . . . . . . . . . . . . . . 652--673 Miklós Csörg\Ho and Paul Deheuvels and Lajos Horváth An Approximation of Stopped Sums with Applications in Queueing Theory . . . . 674--690 Tomasz Rolski Approximation of Periodic Queues . . . . 691--707 X. R. Cao Realization Probability in Closed Jackson Queueing Networks and Its Application . . . . . . . . . . . . . . 708--738 J. D. Biggins A Note on Repeated Sequences in Markov Chains . . . . . . . . . . . . . . . . . 739--742 Tailen Hsing On the Intensity of Crossings by a Shot Noise Process . . . . . . . . . . . . . 743--745 S. Papastavridis A Limit Theorem for the Reliability of a Consecutive-$k$-out-of-$n$ System . . . 746--748 Thomas Kämpke Necessary Optimality Conditions for Priority Policies in Stochastic Weighted Flowtime Scheduling Problems . . . . . . 749--750 Betsy S. Greenberg On Niu's Conjecture for Tandem Queues 751--753 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank Ball and Peter Donnelly Interparticle Correlation in Death Processes with Application to Variability in Compartmental Models . . 755--766 Yasushi Masuda and Ushio Sumita Analysis of a Counting Process Associated with a Semi-Markov Process: Number of Entries into a Subset of State Space . . . . . . . . . . . . . . . . . 767--783 A. Buonocore and A. G. Nobile and L. M. Ricciardi A New Integral Equation for the Evaluation of First-Passage-Time Probability Densities . . . . . . . . . 784--800 Rocco Ballerini and Sidney I. Resnick Records in the Presence of a Linear Trend . . . . . . . . . . . . . . . . . 801--828 Fu Chang and Tze Leung Lai Optimal Stopping and Dynamic Allocation 829--853 J. George Shanthikumar Stochastic Majorization of Random Variables with Proportional Equilibrium Rates . . . . . . . . . . . . . . . . . 854--872 Norbert Henze On the Fraction of Random Points with Specified Nearest-Neighbour Interrelations and Degree of Attraction 873--895 David G. Kendall and Hui-Lin Le The Structure and Explicit Determination of Convex-Polygonally Generated Shape-Densities . . . . . . . . . . . . 896--916 Mohamed Abdel-Hameed Inspection and Maintenance Policies of Devices Subject to Deterioration . . . . 917--931 V. G. Kulkarni and V. F. Nicola and K. S. Trivedi The Completion Time of a Job on Multimode Systems . . . . . . . . . . . 932--954 K. D. Glazebrook and N. A. Fay On the Scheduling of Alternative Stochastic Jobs on a Single Machine . . 955--973 V. Giorno and A. G. Nobile and L. M. Ricciardi On Some Time-Non-Homogeneous Diffusion Approximations to Queueing Systems . . . 974--994 K. W. H. Van Beek and A. J. Stam A Variant of the Ehrenfest Model . . . . 995--996 P. R. Parthasarathy A Transient Solution to an M/M/1 Queue: A Simple Approach . . . . . . . . . . . 997--998 Anonymous Volume Information . . . . . . . . . . . 999--1001 Anonymous Back Matter . . . . . . . . . . . . . . 1002--1002 Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 1--1 S. M. Berman and J. Galambos and C. C. Heyde and M. R. Leadbetter and E. Parzen and S. I. Resnick and H. Taylor and J. Tiago De Oliveira and I. Weissman Invited Papers . . . . . . . . . . . . . 2--8 A. A. Balkema and R. Ballerini and W. P. McCormick and J. Beirlant and H. A. Brozius and J. P. Cohen and P. Deheuvels and Z. Govindarajulu and P. Purdue and L. De Haan and I. Weissman and T. Hsing and A. Janssen and R.-D. Reiss and D. M. Mason and D. Pfeifer and S. Yakowitz Contributed Papers . . . . . . . . . . . 8--13 Michael F. Barnsley and John H. Elton A New Class of Markov Processes for Image Encoding . . . . . . . . . . . . . 14--32 Keith N. Crank and Prem S. Puri A Method of Approximating Markov Jump Processes . . . . . . . . . . . . . . . 33--58 Reuven Y. Rubinstein and Ferenc Szidarovszky Convergence of Perturbation Analysis Estimates for Discontinuous Sample Functions: A General Approach . . . . . 59--78 Nico M. Van Dijk and Martin L. Puterman Perturbation Theory for Markov Reward Processes with Applications to Queueing Systems . . . . . . . . . . . . . . . . 79--98 Nico M. Van Dijk Perturbation Theory for Unbounded Markov Reward Processes with Applications to Queueing . . . . . . . . . . . . . . . . 99--111 F. P. Kelly Routing in Circuit-Switched Networks: Optimization, Shadow Prices and Decentralization . . . . . . . . . . . . 112--144 Joseph Abate and Ward Whitt Transient Behavior of the M/M/1 Queue via Laplace Transforms . . . . . . . . . 145--178 Martin I. Reiman A Multiclass Feedback Queue in Heavy Traffic . . . . . . . . . . . . . . . . 179--207 Eric S. Tollar On the Limit Behavior of a Multicompartment Storage Model with an Underlying Markov Chain . . . . . . . . 208--227 E. Seneta Perturbation of the Stationary Distribution Measured by Ergodicity Coefficients . . . . . . . . . . . . . . 228--230 Mario Lefebvre Utilisation de densités des premier passage en commande optimale stochastique. (French) [Using first-passage densities in stochastic optimal control] . . . . . . . . . . . . 231--234 Rinya Takahashi Characterizations of a Multivariate Extreme Value Distribution . . . . . . . 235--236 A. M. Abouammoh and A. N. Ahmed The New Better than Used Failure Rate Class of Life Distribution . . . . . . . 237--240 Srinivas Iyer Asymptotic Performance of a Multistate Coherent System . . . . . . . . . . . . 241--243 Anonymous Back Matter . . . . . . . . . . . . . . 244--244
M. L. Sturgeon Probabilistic Profiles of Continuously Replenished Spherically Symmetric Clouds 245--260 M. A. Berger and P. H. Roberts On the Winding Number Problem with Finite Steps . . . . . . . . . . . . . . 261--274 Stamatis Cambanis Random Filters Which Preserve the Stability of Random Inputs . . . . . . . 275--294 Chen Zhao-Guo Consistent Estimates for Hidden Frequencies in a Linear Process . . . . 295--314 Krzysztof Nowicki Asymptotic Poisson Distributions with Applications to Statistical Analysis of Graphs . . . . . . . . . . . . . . . . . 315--330 Harry Cohn Limit Behaviour for Stochastic Monotonicity and Applications . . . . . 331--347 David Mannion A Markov Chain of Triangle Shapes . . . 348--370 Holger Rootzén Maxima and Exceedances of Stationary Markov Chains . . . . . . . . . . . . . 371--390 Gerold Alsmeyer Second-Order Approximations for Certain Stopped Sums in Extended Renewal Theory 391--410 Paavo Salminen On the First Hitting Time and the Last Exit Time for a Brownian Motion to/from a Moving Boundary . . . . . . . . . . . 411--426 Moshe Shaked and J. George Shanthikumar Stochastic Convexity and Its Applications . . . . . . . . . . . . . . 427--446 Tze Leung Lai and Zhiliang Ying Open Bandit Processes and Optimal Scheduling of Queueing Networks . . . . 447--472 Panagiotis Konstantopoulos and Jean Walrand On the Weak Convergence of Stochastic Processes with Embedded Point Processes 473--475 D. P. Kennedy A Note on Stochastic Search Methods for Global Optimization . . . . . . . . . . 476--478 Lam Yeh A Note on the Optimal Replacement Problem . . . . . . . . . . . . . . . . 479--482 G. I. Falin On a Multiclass Batch Arrival Retrial Queue . . . . . . . . . . . . . . . . . 483--487 Anonymous Back Matter . . . . . . . . . . . . . . 488--488 Anonymous Front Matter . . . . . . . . . . . . . . ??
R. C. Griffiths and Anthony G. Pakes An Infinite-Alleles Version of the Simple Branching Process . . . . . . . . 489--524 S. N. Ethier and Thomas Nagylaki Diffusion Approximations of Markov Chains with Two Time Scales and Applications to Population Genetics, II 525--545 Frank Ball and Mark Sansom Aggregated Markov Processes Incorporating Time Interval Omission . . 546--572 Richard A. Davis and Edward Mulrow and Sidney I. Resnick Almost Sure Limit Sets of Random Samples in $ R^d $ . . . . . . . . . . . . . . . 573--599 P. K. Pollett Reversibility, Invariance and $ \mu $-Invariance . . . . . . . . . . . . . . 600--621 J. L. Jensen Uniform Saddlepoint Approximations . . . 622--634 David Heath and Robert P. Kertz Leaving an Interval in Limited Playing Time . . . . . . . . . . . . . . . . . . 635--645 Debasis Mitra Stochastic Theory of a Fluid Model of Producers and Consumers Coupled by a Buffer . . . . . . . . . . . . . . . . . 646--676 U. Narayan Bhat and Ram Lal Number of Successes in Markov Trials . . 677--680 Richard L. Smith A Counterexample concerning the Extremal Index . . . . . . . . . . . . . . . . . 681--683 Vratislav Horálek A Note on the Time-Non-Homogeneous Johnson--Mehl Tessellation . . . . . . . 684--685 Vanderlei Costa Bueno A Note on the Component Lifetime Estimation of a Multistate Monotone System through the System Lifetime . . . 686--689 Stavros G. Papastavridis A Weibull Limit for the Reliability of a Consecutive $k$-within-$m$-out-of-$n$ System . . . . . . . . . . . . . . . . . 690--692 R. Syski Further Comments on the Solution of the M/M/1 Queue . . . . . . . . . . . . . . 693--693 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
William G. Faris and Robert S. Maier Probabilistic Analysis of a Learning Matrix . . . . . . . . . . . . . . . . . 695--705 Charles M. Goldie and Sidney Resnick Distributions That Are Both Subexponential and in the Domain of Attraction of an Extreme-Value Distribution . . . . . . . . . . . . . . 706--718 Michael Aronowich and Robert J. Adler Sample Path Behaviour of $ \chi^2 $ Surfaces at Extrema . . . . . . . . . . 719--738 Ushio Sumita and J. George Shanthikumar An Age-Dependent Counting Process Generated from a Renewal Process . . . . 739--755 Richard J. Wilson Model Fields in Crossing Theory: A Weak Convergence Perspective . . . . . . . . 756--774 Wilfrid S. Kendall Symbolic Computation and the Diffusion of Shapes of Triads . . . . . . . . . . 775--797 H. W. Block and N. A. Langberg and D. S. Stoffer Bivariate Exponential and Geometric Autoregressive and Autoregressive Moving Average Models . . . . . . . . . . . . . 798--821 Ed McKenzie Some ARMA Models for Dependent Sequences of Poisson Counts . . . . . . . . . . . 822--835 K. D. Glazebrook On a Reduction Principle in Dynamic Programming . . . . . . . . . . . . . . 836--851 H. R. Gail and S. L. Hantler and B. A. Taylor Analysis of a Non-Preemptive Priority Multiserver Queue . . . . . . . . . . . 852--879 J. C. W. Van Ommeren Exponential Expansion for the Tail of the Waiting-Time Probability in the Single-Server Queue with Batch Arrivals 880--895 Guy Latouche Perturbation Analysis of a Phase-Type Queue with Weakly Correlated Arrivals 896--912 Sòren Asmussen and Sòren Schock Petersen Ruin Probabilities Expressed in Terms of Storage Processes . . . . . . . . . . . 913--916 Anonymous Acknowledgement . . . . . . . . . . . . 917--917 Anonymous Volume Information . . . . . . . . . . . 918--920 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
H. R. Lerche and D. Siegmund Approximate Exit Probabilities for a Brownian Bridge on a Short Time Interval, and Applications . . . . . . . 1--19 V. Giorno and A. G. Nobile and L. M. Ricciardi and S. Sato On the Evaluation of First-Passage-Time Probability Densities via Non-Singular Integral Equations . . . . . . . . . . . 20--36 J. Mòller Random Tessellations in $ R^d $ . . . . 37--73 A. D. Barbour and Lars Holst Some Applications of the Stein--Chen Method for Proving Poisson Convergence 74--90 N. Mazars Pseudo-Modular Decompositions and 'Refined Bounds' for the Interval Reliability and the Availability for Binary Coherent Systems . . . . . . . . 91--122 David Perry and Benny Levikson Continuous Production/Inventory Model with Analogy to Certain Queueing and Dam Models . . . . . . . . . . . . . . . . . 123--141 A. J. Koning On Single-Lane Roads . . . . . . . . . . 142--158 Bhaskar Sengupta Markov Processes Whose Steady State Distribution Is Matrix-Exponential with an Application to the GI/PH/1 Queue . . 159--180 Xi-Ren Cao Calculation of Sensitivities of Throughputs and Realization Probabilities in Closed Queueing Networks with Finite Buffer Capacities 181--206 G. Bri\`ere and M. L. Chaudhry Computational Analysis of Single-Server Bulk-Service Queues, M/G$^Y$ /1 . . . . 207--225 D. R. Grey A Note on Explosiveness of Markov Branching Processes . . . . . . . . . . 226--228 D. R. Grey Persistent Random Walks May Have Arbitrarily Large Tails . . . . . . . . 229--230 J. Hüsler A Note on the Independence and Total Dependence of Max I.D. Distributions . . 231--232 Richard Cowan The Division of Space and the Poisson Distribution . . . . . . . . . . . . . . 233--234 J. Mecke A Note on Cowan's Process of Space Division . . . . . . . . . . . . . . . . 235--236 Bent Natvig A Comment on the Steady-State Performance of Multistate Monotone Systems . . . . . . . . . . . . . . . . 237--237 A. Rangan and R. Ester Grace On the Replacement of Systems Subject to Shocks and Wear-Dependent Failure . . . 238--240 Robert D. Foley and Peter C. Kiessler Positive Correlations in a Three-Node Jackson Queueing Network . . . . . . . . 241--242 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anthony G. Pakes Asymptotic Results for the Extinction Time of Markov Branching Processes Allowing Emigration, I. Random Walk Decrements . . . . . . . . . . . . . . . 243--269 K. V. Mitov and N. M. Yanev Bellman--Harris Branching Processes with a Special Type of State-Dependent Immigration . . . . . . . . . . . . . . 270--283 Steven L. Beuerman and Edward J. Coyle State Space Expansions and the Limiting Behavior of Quasi-Birth-and-Death Processes . . . . . . . . . . . . . . . 284--314 H. E. Daniels The Maximum of a Gaussian Process Whose Mean Path Has a Maximum, with an Application to the Strength of Bundles of Fibres . . . . . . . . . . . . . . . 315--333 Robert J. Adler Fluctuation Theory for Systems of Signed and Unsigned Particles with Interaction Mechanisms Based on Intersection Local Times . . . . . . . . . . . . . . . . . 334--356 C. E. M. Pearce Extended Continued Fractions, Recurrence Relations and Two-Dimensional Markov Processes . . . . . . . . . . . . . . . 357--375 Awi Federgruen and Kut C. So Optimal Time to Repair a Broken Server 376--397 M. Rumsewicz and W. Henderson Insensitivity with Age-Dependent Routing 398--408 Arie Hordijk and Flos Spieksma Constrained Admission Control to a Queueing System . . . . . . . . . . . . 409--431 Sid Browne and Uri Yechiali Dynamic Priority Rules for Cyclic-Type Queues . . . . . . . . . . . . . . . . . 432--450 Zhang Hanqin and Wang Rongxin Heavy Traffic Limit Theorems for a Queueing System in Which Customers Join the Shortest Line . . . . . . . . . . . 451--469 Anthony G. Pakes On the Asymptotic Behaviour of the Extinction Time of the Simple Branching Process . . . . . . . . . . . . . . . . 470--472 Panagiotis Konstantopoulos A Comment on the Paper `\booktitleOn the Intensity of Crossings by a Shot Noise Process'' . . . . . . . . . . . . . . . 473--474 Brendan D. McKay On Littlewood's Estimate for the Binomial Distribution . . . . . . . . . 475--478 Gunnar Blom Mean Transition Times for the Ehrenfest urn Model . . . . . . . . . . . . . . . 479--480 Tetsuji Hirayama and Masaaki Kijima An Extremal Property of FIFO Discipline in G/IFR/1 Queues . . . . . . . . . . . 481--484 G. I. Falin Periodic Queues in Heavy Traffic . . . . 485--487 Thomas M. Chen On the Independence of Sojourn Times in Tandem Queues . . . . . . . . . . . . . 488--489 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
B. Gail Ivanoff The Multitype Branching Random Walk: Temporal and Spatial Limit Theorems . . 491--512 Tailen Hsing and J. L. Teugels Extremal Properties of Shot Noise Processes . . . . . . . . . . . . . . . 513--525 Henk Brozius Convergence in Mean of Some Characteristics of the Convex Hull . . . 526--542 Richard Cowan Objects Arranged Randomly in Space: An Accessible Theory . . . . . . . . . . . 543--569 Huiling Le Random Spherical Triangles I: Geometrical Background . . . . . . . . . 570--580 Huiling Le Random Spherical Triangles II: Shape Densities . . . . . . . . . . . . . . . 581--594 Richard F. Serfozo Poisson Functionals of Markov Processes and Queueing Networks . . . . . . . . . 595--611 P. Taylor Insensitivity in Processes with Zero Speeds . . . . . . . . . . . . . . . . . 612--628 François Baccelli and Armand M. Makowski and Adam Shwartz The Fork-Join Queue and Related Systems with Synchronization Constraints: Stochastic Ordering and Computable Bounds . . . . . . . . . . . . . . . . . 629--660 P. J. Hunt Implied Costs in Loss Networks . . . . . 661--680 Nicholas Bambos and Jean Walrand On Stability of State-Dependent Queues and Acyclic Queueing Networks . . . . . 681--701 K. S. Chan A Note on the Geometric Ergodicity of a Markov Chain . . . . . . . . . . . . . . 702--704 Dennis Rosen Coverage of a Square Lattice by an Inclined Rectangle . . . . . . . . . . . 705--707 Philip Holgate Some Power Series with Random Gaps . . . 708--710 Moshe Dror Simple Proof for Goofspiel: The Game of Pure Strategy . . . . . . . . . . . . . 711--712 Harshinder Singh and Kanchan Jain Preservation of Some Partial Orderings under Poisson Shock Models . . . . . . . 713--716 B. H. Joshi and A. D. Dharmadhikari Maximization of Availability of $1$-out-of-2:G Repairable Dependent System . . . . . . . . . . . . . . . . . 717--720 D. Fakinos and K. Sirakoulis Product-Form Distributions for an M/G/k Group-Arrival Group-Departure Loss System . . . . . . . . . . . . . . . . . 721--724 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Eric Slud and Craig Hoesman Moderate- and Large-Deviation Probabilities in Actuarial Risk Theory 725--741 K. V. Mardia and I. L. Dryden Shape Distributions for Landmark Data 742--755 J. Franchi Produits semi-directs de diffusions reelles et lois asymptotiques. (French) [Semi-direct products of real diffusions and asymptotic laws] . . . . . . . . . . 756--769 Enzo Orsingher and Bruno Bassan On the Comparison of the Distribution of the Supremum of Random Fields Represented by Stochastic Integrals . . 770--780 Richard A. Davis and Sidney I. Resnick Basic Properties and Prediction of Max-ARMA Processes . . . . . . . . . . . 781--803 I. B. Ziedins and F. P. Kelly Limit Theorems for Loss Networks with Diverse Routing . . . . . . . . . . . . 804--830 P. J. Hunt and F. P. Kelly On Critically Loaded Loss Networks . . . 831--841 John A. Gubner and B. Gopinath and S. R. S. Varadhan Bounding Functions of Markov Processes and the Shortest Queue Problem . . . . . 842--860 Zvi Rosberg and Parviz Kermani Customer Routing to Different Servers with Complete Information . . . . . . . 861--882 François Baccelli and Zhen Liu On the Stability Condition of a Precedence-Based Queueing Discipline . . 883--898 Michael L. Wenocur A Reliability Model Based on the Gamma Process and Its Analytic Theory . . . . 899--918 Henry W. Block and William S. Griffith and Thomas H. Savits $L$-Superadditive Structure Functions 919--929 Emad El-Neweihi and Fan C. Meng The Number of Critical Connection Vectors of $L$-Superadditive Structure Functions . . . . . . . . . . . . . . . 930--932 L. C. G. Rogers Ignatov's Theorem: An Abbreviation of the Proof of Engelen, Tommassen and Vervaat . . . . . . . . . . . . . . . . 933--934 G. Hooghiemstra Another Visit to Two Halflines . . . . . 935--937 Robert W. Chen A Circular Property of the Occurrence of Sequence Patterns in the Fair Coin-Tossing Process . . . . . . . . . . 938--940 Gunnar Blom and Lars Holst Some Properties of Similar Pairs . . . . 941--944 Mario Lefebvre and Éric Léonard On the First Hitting Place of the Integrated Wiener Process . . . . . . . 945--948 A. Rangan and R. Esther Grace Optimal Replacement Policies for a Deteriorating System with Imperfect Maintenance . . . . . . . . . . . . . . 949--951 Yaakov Kogan Exact Analysis for a Class of Simple, Circuit-Switched Networks with Blocking 952--955 Bhaskar Sengupta An Invariance Relationship for the G/G/1 Queue . . . . . . . . . . . . . . . . . 956--957 Anonymous Correction: \booktitleApplied Probability Author and Subject Index No. 7, p. 50 . . . . . . . . . . . . . . . . 958--958 Anonymous Volume Information . . . . . . . . . . . 959--961 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Ethier The Infinitely-Many-Neutral-Alleles Diffusion Model with Ages . . . . . . . 1--24 Claude Lefevre and Philippe Picard A Non-Standard Family of Polynomials and the Final Size Distribution of Reed--Frost Epidemic Processes . . . . . 25--48 Luis G. Gorostiza and Jose A. Lopez-Mimbela The Multitype Measure Branching Process 49--67 Michael Voit Central Limit Theorems for a Class of Polynomial Hypergroups . . . . . . . . . 68--87 B. Chauvin and A. Rouault A Stochastic Simulation for Solving Scalar Reaction-Diffusion Equations . . 88--100 L. Sacerdote On the Solution of the Fokker--Planck Equation for a Feller Process . . . . . 101--110 P. K. Pollett and A. J. Roberts A Description of the Long-Term Behaviour of Absorbing Continuous-Time Markov Chains Using a Centre Manifold . . . . . 111--128 Hans Arnfinn Karlsen Existence of Moments in a Stationary Stochastic Difference Equation . . . . . 129--146 Gordon E. Willmot Asymptotic Tail Behaviour of Poisson Mixtures with Applications . . . . . . . 147--159 Moshe Shaked and J. George Shanthikumar Convexity of a Set of Stochastically Ordered Random Variables . . . . . . . . 160--177 Xi-Ren Cao Realization Factors and Sensitivity Analysis of Queueing Networks with State-Dependent Service Rates . . . . . 178--210 M. Ya. Kelbert and R. P. Kopeika and R. N. Shamsiev and Yu. M. Sukhov Perturbation Theory Approach for a Class of Hybrid Switching Networks with Small Transit Flows . . . . . . . . . . . . . 211--229 W\ladys\law Szczotka Exponential Approximation of Waiting Time and Queue Size for Queues in Heavy Traffic . . . . . . . . . . . . . . . . 230--240 Fred M. Hoppe and Eugene Seneta Bonferroni-Type Inequalities and the Methods of Indicators and Polynomials 241--246 Jian Liu A Note on Causality and Invertibility of a General Bilinear Time Series Model . . 247--250 Yuedong Wang and Jinhua Cao New Kinds of Multidimensional IFR Distribution . . . . . . . . . . . . . . 251--253 Nicholas Bambos and Jean Walrand An Invariant Distribution for the G/G/1 Queueing Operator . . . . . . . . . . . 254--256 Hirotaka Sakasegawa and Ronald W. Wolff The Equality of the Virtual Delay and Attained Waiting Time Distributions . . 257--259 P.-J. Courtois On the Total Loss Probability of Service Stages in Series . . . . . . . . . . . . 260--262 Panagiotis Konstantopoulos and Jean Walrand On the Ergodicity of Networks of $ \cdot $ /GI/1/N Queues . . . . . . . . . . . . 263--267 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Philippe Picard and Claude Lefevre A Unified Analysis of the Final Size and Severity Distribution in Collective Reed--Frost Epidemic Processes . . . . . 269--294 J. M. McNamara The Policy Which Maximises Long-Term Survival of an Animal Faced with the Risks of Starvation and Predation . . . 295--308 Sidney Resnick and Rishin Roy Multivariate Extremal Processes, Leader Processes and Dynamic Choice Models . . 309--331 Peter Hall and Inge Koch On Continuous Image Models and Image Analysis in the Presence of Correlated Noise . . . . . . . . . . . . . . . . . 332--349 S. T. Rachev and L. Rüschendorf Approximation of Sums by Compound Poisson Distributions with Respect to Stop-Loss Distances . . . . . . . . . . 350--374 C. Donati-Martin Le probl\`eme de Buffon--Synge pour une corde. (French) [The Buffon--Synge problem for a string] . . . . . . . . . 375--395 Douglas P. Kennedy and Robert P. Kertz Limit Theorems for Threshold-Stopped Random Variables with Applications to Optimal Stopping . . . . . . . . . . . . 396--411 Gordon Simons and Yi-Ching Yao Some Results on the Bomber Problem . . . 412--432 Richard J. Boucherie and Nico M. Van Dijk Spatial Birth--Death Processes with Multiple Changes and Applications to Batch Service Networks and Clustering Processes . . . . . . . . . . . . . . . 433--455 R. Schassberger The Steady-State Appearance of the M/G/1 Queue under the Discipline of Shortest Remaining Processing Time . . . . . . . 456--479 M. J. Faddy On Variation in Birth Processes . . . . 480--483 Philip Holgate Lattice Points in a Random Parallelogram 484--485 L. C. G. Rogers The Two-Sided Exit Problem for Spectrally Positive Lévy Processes . . . 486--487 Jacek Wesolowski A Constant Regression Characterization of the Gamma Law . . . . . . . . . . . . 488--490 Ourania Chryssaphinou and Stavros G. Papastavridis Limit Distribution for a Consecutive-$k$-out-of-$n$: $F$ System 491--493 Lam Yeh A Repair Replacement Model . . . . . . . 494--497 Dipankar Bandyopadhyay and Asit P. Basu On a Generalization of a Model by Lindley and Singpurwalla . . . . . . . . 498--500 Pushpa L. Gupta and R. D. Gupta A Bivariate Random Environmental Stress Model . . . . . . . . . . . . . . . . . 501--503 Allan Gut Cumulative Shock Models . . . . . . . . 504--507 Subhash C. Kochar On Preservation of Some Partial Orderings under Shock Models . . . . . . 508--509 Dieter König and Volker Schmidt Extended and Conditional Versions of the PASTA Property . . . . . . . . . . . . . 510--512 T. Takine and T. Hasegawa A Note on M/G/1 Vacation Systems with Waiting Time Limits . . . . . . . . . . 513--518 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Ethier The Distribution of the Frequencies of Age-Ordered Alleles in a Diffusion Model 519--532 Lech S. Papiez and George A. Sandison A Diffusion Model with Loss of Particles 533--547 W. J. Anderson and P. M. McDunnough On the Representation of Symmetric Transition Functions . . . . . . . . . . 548--563 Roland Malhamé A Jump-Driven Markovian Electric Load Model . . . . . . . . . . . . . . . . . 564--586 Dag Tjòstheim Non-Linear Time Series and Markov Chains 587--611 Dawei Huang On the Maximal Entropy Property for ARMA Processes and ARMA Approximation . . . . 612--626 Nader Ebrahimi Binary Structure Functions with Dependent Components . . . . . . . . . . 627--640 Wolfgang Stadje and Dror Zuckerman Optimal Strategies for Some Repair Replacement Models . . . . . . . . . . . 641--656 Keith W. Ross and Danny Tsang Teletraffic Engineering for Product-Form Circuit-Switched Networks . . . . . . . 657--675 David M. Lucantoni and Kathleen S. Meier-Hellstern and Marcel F. Neuts A Single-Server Queue with Server Vacations and a Class of Non-Renewal Arrival Processes . . . . . . . . . . . 676--705 Offer Kella and Ward Whitt Diffusion Approximations for Queues with Server Vacations . . . . . . . . . . . . 706--729 M. A. Wortman and Ralph L. Disney Vacation Queues with Markov Schedules 730--748 Nico M. Van Dijk On a Simple Proof of Uniformization for Continuous and Discrete-State Continuous-Time Markov Chains . . . . . 749--750 R. N. Pillai and E. Sandhya Distributions with Complete Monotone Derivative and Geometric Infinite Divisibility . . . . . . . . . . . . . . 751--754 Wei Qian A Note on Asymptotic Inference for an Asymmetric Ising Model around a Torus 755--757 B. S. El-Desouky and S. A. Hussen A Generalization of a Waiting Time Problem . . . . . . . . . . . . . . . . 758--760 Venkat Anantharam and Pantelis Tsoucas Stochastic Concavity of Throughput in Series of Queues with Finite Buffers . . 761--763 Ludolf E. Meester and J. George Shanthikumar Concavity of the Throughput of Tandem Queueing Systems with Finite Buffer Storage Space . . . . . . . . . . . . . 764--767 Robert E. Stanford On Queues with Impatience . . . . . . . 768--769 Hydar Ali Expected Number of Departures in M/M/1 and GI/G/1 Queues . . . . . . . . . . . 770--772 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Ethier and R. C. Griffiths The Neutral Two-Locus Model as a Measure-Valued Diffusion . . . . . . . . 773--786 J. Beirlant and E. Willekens Rapid Variation with Remainder and Rates of Convergence . . . . . . . . . . . . . 787--801 Frank Ball Aggregated Markov Processes with Negative Exponential Time Interval Omission . . . . . . . . . . . . . . . . 802--830 David Mannion Convergence to Collinearity of a Sequence of Random Triangle Shapes . . . 831--844 David Mannion The Invariant Distribution of a Sequence of Random Collinear Triangle Shapes . . 845--865 Wolfgang Stadje The Collector's Problem with Group Drawings . . . . . . . . . . . . . . . . 866--882 V. Giorno and A. G. Nobile and L. M. Ricciardi On the Asymptotic Behaviour of First-Passage-Time Densities for One-Dimensional Diffusion Processes and Varying Boundaries . . . . . . . . . . . 883--914 Enzo Orsingher Random Motions Governed by Third-Order Equations . . . . . . . . . . . . . . . 915--928 George D. Stamoulis and John N. Tsitsiklis On the Settling Time of the Congested GI/G/1 Queue . . . . . . . . . . . . . . 929--956 W. Katzenbeisser On the Joint Distribution of the Number of Upper and Lower Records and the Number of Inversions in a Random Sequence . . . . . . . . . . . . . . . . 957--960 Claude Lefevre and Xavier Milhaud On the Association of the Lifelengths of Components Subjected to a Stochastic Environment . . . . . . . . . . . . . . 961--964 Z. Khalil and G. Falin A Star-like Circuit-Switching Network with Multistage Service . . . . . . . . 965--967 Anonymous Volume Information . . . . . . . . . . . 969--971 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Donald A. Berry and Robert P. Kertz Worth of Perfect Information in Bernoulli Bandits . . . . . . . . . . . 1--23 Robert A. Benhenni Monotone Stopping-Allocation Problems 24--45 Ludger Rüschendorf On Conditional Stochastic Ordering of Distributions . . . . . . . . . . . . . 46--63 C. Y. Teresa Lam and John P. Lehoczky Superposition of Renewal Processes . . . 64--85 K. D. Glazebrook Strategy Evaluation for Stochastic Scheduling Problems with Order Constraints . . . . . . . . . . . . . . 86--104 Thomas E. Stern and Anwar I. Elwalid Analysis of Separable Markov-Modulated Rate Models for Information-Handling Systems . . . . . . . . . . . . . . . . 105--139 Robert W. Chen and Larry A. Shepp Synchronous Service on a Circle . . . . 140--151 Richard J. Boucherie and Nico M. Van Dijk Product Forms for Queueing Networks with State-Dependent Multiple Job Transitions 152--187 Peter W. Glynn and Ward Whitt A New View of the Heavy-Traffic Limit Theorem for Infinite-Server Queues . . . 188--209 Cheng-Shang Chang and Xiu Li Chao and Michael Pinedo Monotonicity Results for Queues with Doubly Stochastic Poisson Arrivals: Ross's Conjecture . . . . . . . . . . . 210--228 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Peter Donnelly and Paul Joyce Consistent Ordered Sampling Distributions: Characterization and Convergence . . . . . . . . . . . . . . 229--258 I. L. Dryden and K. V. Mardia General Shape Distributions in a Plane 259--276 P. K. Pollett Invariant Measures for $Q$-Processes When $Q$ Is Not Regular . . . . . . . . 277--292 William Rising Applications of Generalized Inverses to Markov Chains . . . . . . . . . . . . . 293--302 Kiyomasa Narita The Smoluchowski--Kramers Approximation for the Stochastic Liénard Equation with Mean-Field . . . . . . . . . . . . . . . 303--316 Kiyomasa Narita Asymptotic Behavior of Velocity Process in the Smoluchowski--Kramers Approximation for Stochastic Differential Equations . . . . . . . . . 317--326 Charles Knessl On the Transient Behavior of the Repairman Problem . . . . . . . . . . . 327--354 S. Zachary On Blocking in Loss Networks . . . . . . 355--372 Hideaki Takagi Analysis of Finite-Capacity Polling Systems . . . . . . . . . . . . . . . . 373--387 Awi Federgruen and Kut C. So Optimality of Threshold Policies in Single-Server Queueing Systems with Server Vacations . . . . . . . . . . . . 388--405 Gunter Ritter and Ulrich Wacker The Mean Waiting Time in a G/G/m/$ \infty $ Queue with the LCFS-P Service Discipline . . . . . . . . . . . . . . . 406--428 Richard R. Weber and Gideon Weiss Addendum to 'On an Index Policy for Restless Bandits' . . . . . . . . . . . 429--430 J. George Shanthikumar and Couchen Wu On the Starshapeness of G/G/c Queueing Systems . . . . . . . . . . . . . . . . 431--435 Anonymous Correction: Distributions with Complete Monotone Derivative and Geometric Infinite Divisibility . . . . . . . . . 436--436 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. J. Donnelly and W. J. Ewens and S. Padmadisastra Functionals of Random Mappings: Exact and Asymptotic Results . . . . . . . . . 437--455 Paul Joyce Estimating the Frequency of the Oldest Allele: A Bayesian Approach . . . . . . 456--475 Peter Hall and J. W. Kay and D. M. Titterington On Estimation of Noise Variance in Two-Dimensional Signal Processing . . . 476--495 Colin R. Goodall and Kanti V. Mardia A Geometrical Derivation of the Shape Density . . . . . . . . . . . . . . . . 496--514 Colm Art O'Cinneide Phase-Type Distributions and Invariant Polytopes . . . . . . . . . . . . . . . 515--535 Mathew D. Penrose On a Continuum Percolation Model . . . . 536--556 Lajos Takács A Bernoulli Excursion and Its Various Applications . . . . . . . . . . . . . . 557--585 Chern-Ching Chao and Norman C. Severo Distributions of Ballot Problem Random Variables . . . . . . . . . . . . . . . 586--597 N. H. Bingham Fluctuation Theory for the Ehrenfest Urn 598--611 F. Thomas Bruss and James B. Robertson `Wald's Lemma' for Sums of Order Statistics of i.i.d. Random Variables 612--623 Lawrence A. Shepp and Gordon Simons and Yi-Ching Yao On a Problem of Ammunition Rationing . . 624--641 J. George Shanthikumar and David D. Yao Bivariate Characterization of Some Stochastic Order Relations . . . . . . . 642--659 J. W. Cohen On the Attained Waiting Time . . . . . . 660--661 Karl Sigman A Note on a Sample-Path Rate Conservation Law and Its Relationship with $ H = \lambda G $ . . . . . . . . . 662--665 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. M. McNamara and S. Merad and E. J. Collins The Hawk--Dove Game as an Average-Cost Problem . . . . . . . . . . . . . . . . 667--682 Erik A. Van Doorn Quasi-Stationary Distributions and Convergence to Quasi-Stationarity of Birth--Death Processes . . . . . . . . . 683--700 D. A. Dawson and K. J. Hochberg A Multilevel Branching Model . . . . . . 701--715 B. Chauvin and P. Olivares-Rieumont and A. Rouault Fluctuations of Spatial Branching Processes with Mean-Field Interaction 716--732 Lajos Horváth Weak Convergence of Discrete Scattering Processes . . . . . . . . . . . . . . . 733--750 Clive R. Loader Large-Deviation Approximations to the Distribution of Scan Statistics . . . . 751--771 Frank Ball and Robin K. Milne and Geoffrey F. Yeo Aggregated Semi-Markov Processes Incorporating Time Interval Omission . . 772--797 György Terdik and Laurie Meaux The Exact Bispectra for Bilinear Realizable Processes with Hermite Degree 2 . . . . . . . . . . . . . . . . . . . 798--808 P. Whittle A Stochastic Model of an Artificial Neuron . . . . . . . . . . . . . . . . . 809--822 Dietmar Pfeifer Some Remarks on Nevzorov's Record Model 823--834 Michael R. Chernick and Tailen Hsing and William P. McCormick Calculating the Extremal Index for a Class of Stationary Sequences . . . . . 835--850 Anant P. Godbole Poisson Approximations for Runs and Patterns of Rare Events . . . . . . . . 851--865 Heikki Haario and Eero Saksman Simulated Annealing Process in General State Space . . . . . . . . . . . . . . 866--893 M. T. Chao and James C. Fu The Reliability of a Large Series System under Markov Structure . . . . . . . . . 894--908 Rhonda Righter and Susan H. Xu Scheduling Jobs on Non-Identical IFR Processors to Minimize General Cost Functions . . . . . . . . . . . . . . . 909--924 Cheng-Shang Chang and Randolph Nelson and Michael Pinedo Scheduling Two Classes of Exponential Jobs on Parallel Processors: Structural Results and Worst-Case Analysis . . . . 925--944 Wim M. Nawijn On a Random Interval Graph and the Maximum Throughput Rate in the System GI/G/1/0 . . . . . . . . . . . . . . . . 945--956 Wen-Jang Huang and Prem S. Puri A Queueing Process with the Possibility of Customers Becoming Servers . . . . . 957--971 Guillermo Ayala and Juan Ferrandiz and Francisco Montes Random Set and Coverage Measure . . . . 972--974 You-Gan Wang and John Gittins A Note on Gittins Indices for Pharmaceutical Research . . . . . . . . 975--977 Anonymous Volume Information . . . . . . . . . . . 978--980 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
G. A. Watterson The Mean Number of Alleles in Multigene Families . . . . . . . . . . . . . . . . 1--19 J. A. Bunge and H. N. Nagaraja Exact Distribution Theory for Some Point Process Record Models . . . . . . . . . 20--44 Koji Kuroda and Hideki Tanemura Limit Theorem and Large Deviation Principle for the Voronoi Tessellation Generated by a Gibbs Point Process . . . 45--70 Igor Rychlik The Two-Barrier Problem for Continuously Differentiable Processes . . . . . . . . 71--94 E. M. Tory and D. K. Pickard Unilateral Gaussian Fields . . . . . . . 95--112 Samuel Karlin and Amir Dembo Limit Distributions of Maximal Segmental Score among Markov-Dependent Partial Sums . . . . . . . . . . . . . . . . . . 113--140 Attila Csenki The Joint Distribution of Sojourn Times in Finite Markov Processes . . . . . . . 141--160 Philip J. Boland and Emad El-Neweihi and Frank Proschan Stochastic Order for Redundancy Allocations in Series and Parallel Systems . . . . . . . . . . . . . . . . 161--171 Sòren Asmussen and Reuven Y. Rubinstein The Efficiency and Heavy Traffic Properties of the Score Function Method in Sensitivity Analysis of Queueing Models . . . . . . . . . . . . . . . . . 172--201 D. J. Daley and T. Rolski Light Traffic Approximations in Many-Server Queues . . . . . . . . . . . 202--218 H. Tong and B. Cheng A Note on One-Dimensional Chaotic Maps under Time Reversal . . . . . . . . . . 219--220 Frank Ball and Paul Blackwell A Finite Form for the Wrapped Poisson Distribution . . . . . . . . . . . . . . 221--222 M. Manoharan and Harshinder Singh and Neeraj Misra Preservation of Phase-Type Distributions under Poisson Shock Models . . . . . . . 223--225 M. S. Finkelstein Some Notes on Two Types of Minimal Repair . . . . . . . . . . . . . . . . . 226--228 W. Henderson and P. G. Taylor Discrete-Time Queueing Networks with Geometric Release Probabilities . . . . 229--233 Arie Hordijk and Ger Koole The $ \mu c$-Rule Is Not Optimal in the Second Node of the Tandem Queue: A Counterexample . . . . . . . . . . . . . 234--237 Harshinder Singh and Rameshwar D. Gupta On the Probability That the kth Customer Finds an M/M/1 Queue Empty . . . . . . . 238--239 Anonymous Back Matter . . . . . . . . . . . . . . 240--240 Anonymous Front Matter . . . . . . . . . . . . . . ??
Douglas P. Kennedy and Robert P. Kertz Limit Theorems for Suprema, Threshold-Stopped Random Variables and Last Exits of i.i.d. Random Variables with Costs and Discounting, with Applications to Optimal Stopping . . . . 241--266 Allen L. Roginsky A Central Limit Theorem with Remainder Term for Renewal Processes . . . . . . . 267--287 Assad Jalali and Alan G. Hawkes The Distribution of Apparent Occupancy Times in a Two-State Markov Process in Which Brief Events Cannot Be Detected 288--301 Assad Jalali and Alan G. Hawkes Generalised Eigenproblems Arising in Aggregated Markov Processes Allowing for Time Interval Omission . . . . . . . . . 302--321 A. A. Borovkov and G. Fayolle and D. A. Korshunov Transient Phenomena for Markov Chains and Applications . . . . . . . . . . . . 322--342 Arie Hordijk and Flora Spieksma On Ergodicity and Recurrence Properties of a Markov Chain with an Application to an Open Jackson Network . . . . . . . . 343--376 Pierre Brémaud and Raghavan Kannurpatti and Ravi Mazumdar Event and Time Averages: A Review . . . 377--411 Lennart Ljung and Bo Wahlberg Asymptotic Properties of the Least-Squares Method for Estimating Transfer Functions and Disturbance Spectra . . . . . . . . . . . . . . . . 412--440 A. Di Crescenzo and V. Giorno and A. G. Nobile On Some First-Crossing-Time Probabilities for a Two-Dimensional Random Walk with Correlated Components 441--454 P. Whittle Random Fields on Random Graphs . . . . . 455--473 Derek Robinson The Optimality of Fixed Channel Assignment Policies for Cellular Radio Systems . . . . . . . . . . . . . . . . 474--495 Zeng-Hu Li A Note on the Multitype Measure Branching Process . . . . . . . . . . . 496--498 J. P. Imhof A Simple Proof of Pitman's 2M-X Theorem 499--501 Fumiyasu Komaki and Yoshiaki Itoh A Unified Model for Kakutani's Interval Splitting and Rényi's Random Packing . . 502--505 Rhonda Righter and J. George Shanthikumar Extension of the Bivariate Characterization for Stochastic Orders 506--508 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Marc Yor On Some Exponential Functionals of Brownian Motion . . . . . . . . . . . . 509--531 Michael A. Zazanis Analyticity of Poisson-Driven Stochastic Systems . . . . . . . . . . . . . . . . 532--541 Sean P. Meyn and R. L. Tweedie Stability of Markovian Processes I: Criteria for Discrete-Time Chains . . . 542--574 Masaaki Kijima Further Monotonicity Properties of Renewal Processes . . . . . . . . . . . 575--588 W. D. Sudderth and A. P. N. Weerasinghe A Bang--Bang Strategy for a Finite Fuel Stochastic Control Problem . . . . . . . 589--603 Cheng-Shang Chang A New Ordering for Stochastic Majorization: Theory and Applications 604--634 K. D. Glazebrook and Lyn R. Whitaker Single-Machine Stochastic Scheduling with Dependent Processing Times . . . . 635--652 Sergei Grishechkin On a Relationship between Processor-Sharing Queues and Crump--Mode--Jagers Branching Processes 653--698 C. N. Laws Resource Pooling in Queueing Networks with Dynamic Routing . . . . . . . . . . 699--726 Richard R. Weber The Interchangeability of Tandem Queues with Heterogeneous Customers and Dependent Service Times . . . . . . . . 727--737 P. Konstantopoulos and Michael A. Zazanis Sensitivity Analysis for Stationary and Ergodic Queues . . . . . . . . . . . . . 738--750 Xiuli Chao On the Departure Processes of M/M/1/N and GI/G/1/N Queues . . . . . . . . . . 751--754 Ward Whitt $ H = \lambda G $ and the Palm Transformation . . . . . . . . . . . . . 755--758 Anonymous Correction: Paths in a Random Digital Tree: Limiting Distributions . . . . . . 759--759 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 761--761 S. Tavaré Introduction . . . . . . . . . . . . . . 762--763 D. J. Aldous and R. A. Arratia and A. D. Barbour and B. Bollobás and P. Diaconis and P. J. Donnelly and P. Erd\Hos and L. H. Harper and B. Harris and V. F. Kolchin and A. M. Odlyzko and J. W. Pitman and B. G. Pittel and L. A. Shepp and J. Spencer and L. Takács and V. A. Vatutin and A. M. Vershik and O. V. Viskov and H. S. Wilf Invited Papers . . . . . . . . . . . . . 763--773 W. J. Ewens and B. Fristedt and D. R. Gavelek and A. P. Godbole and J. C. Hansen and L. Holst and Z.-X. Hu and J. Jaworski and P. J. Joyce and V. I. Khokhlov and P. Matthews and E. Schmutz and W. Stadje and J. M. Steele and P. Tetali Contributed Papers . . . . . . . . . . . 773--777 Anthony G. Pakes Limit Theorems for the Numbers of Rare Mutants: A Branching Process Model . . . 778--794 Pablo A. Ferrari and Servet Martínez and Pierre Picco Existence of Non-Trivial Quasi-Stationary Distributions in the Birth--Death Chain . . . . . . . . . . . 795--813 Jesper Mòller Random Johnson-Mehl Tessellations . . . 814--844 Tomasz Luczak and Joel E. Cohen Giant Components in Three-Parameter Random Directed Graphs . . . . . . . . . 845--857 T. Lehtonen and H. Nyrhinen Simulating Level-Crossing Probabilities by Importance Sampling . . . . . . . . . 858--874 P. K. Pollett and A. Vassallo Diffusion Approximations for Some Simple Chemical Reaction Schemes . . . . . . . 875--893 Moshe Shaked and J. George Shanthikumar Optimal Allocation of Resources to Nodes of Parallel and Series Systems . . . . . 894--914 Susan H. Xu On a Job Resequencing Issue in Parallel Processor Stochastic Scheduling . . . . 915--933 W. Henderson and C. E. M. Pearce and P. K. Pollett and P. G. Taylor Connecting Internally Balanced Quasi-Reversible Markov Processes . . . 934--959 Alain Jean-Marie and Zhen Liu Stochastic Comparisons for Queueing Models via Random Sums and Intervals . . 960--985 Paul E. Wright Two Parallel Processors with Coupled Inputs . . . . . . . . . . . . . . . . . 986--1007 Wolfgang Stadje The Expected Value of the One-Sided Cusum Stopping Time . . . . . . . . . . 1008--1009 T. Lindvall A Simple Coupling of Renewal Processes 1010--1011 Anonymous Volume Information . . . . . . . . . . . 1012--1015 Anonymous Back Matter . . . . . . . . . . . . . . ??
L. G. Hanin and S. T. Rachev and A. Yu. Yakovlev On the Optimal Control of Cancer Radiotherapy for Non-Homogeneous Cell Populations . . . . . . . . . . . . . . 1--23 Claudia Neuhauser and Aidan Sudbury The Biased Annihilating Branching Process . . . . . . . . . . . . . . . . 24--38 Frank Ball and Philip O'Neill A Modification of the General Stochastic Epidemic Motivated by AIDS Modelling . . 39--62 Claude Lefevre and Philippe Picard An Unusual Stochastic Order Relation with Some Applications in Sampling and Epidemic Theory . . . . . . . . . . . . 63--81 M. G. Nair and P. K. Pollett On the Relationship between $ \mu $-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov Chains . . . . . 82--102 Paul Glasserman Stochastic Monotonicity and Conditional Monte Carlo for Likelihood Ratios . . . 103--115 Paul Glasserman Regenerative Derivatives of Regenerative Sequences . . . . . . . . . . . . . . . 116--139 V. A. Malyshev Networks and Dynamical Systems . . . . . 140--175 Nicholas Bambos and Jean Walrand Scheduling and Stability Aspects of a General Class of Parallel Processing Systems . . . . . . . . . . . . . . . . 176--202 W\ladys\law Szczotka Asymptotic Stationarity of Multichannel Queues . . . . . . . . . . . . . . . . . 203--220 F. Baccelli and P. Brémaud Virtual Customers in Sensitivity and Light Traffic Analysis via Campbell's Formula for Point Processes . . . . . . 221--234 Josep M. Ferrandiz The BMAP/GI/1 Queue with Server Set-up Times and Server Vacations . . . . . . . 235--254 Timothy C. Brown and Peter Donnelly On Conditional Intensities and on Interparticle Correlation in Non-Linear Death Processes . . . . . . . . . . . . 255--260 Anonymous Correction: Exact Distribution Theory for Some Point Process Record Models . . 261--261 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
D. R. Grey and Lu Zhunwei The Asymptotic Behaviour of Extinction Probability in the Smith--Wilkinson Branching Process . . . . . . . . . . . 263--289 V. Ferretti and D. Sankoff The Empirical Discovery of Phylogenetic Invariants . . . . . . . . . . . . . . . 290--302 Åke Svensson Dynamics of an Epidemic in a Closed Population . . . . . . . . . . . . . . . 303--313 E. J. Collins and J. M. McNamara The Job-Search Problem with Competition: An Evolutionarily Stable Dynamic Strategy . . . . . . . . . . . . . . . . 314--333 Anant P. Godbole and Andrew A. Schaffner Improved Poisson Approximations for Word Patterns . . . . . . . . . . . . . . . . 334--347 T. Arak and P. Clifford and D. Surgailis Point-Based Polygonal Models for Random Graphs . . . . . . . . . . . . . . . . . 348--372 Fernando Affentranger and Rex A. Dwyer The Convex Hull of Random Balls . . . . 373--394 Ilya S. Molchanov Limit Theorems for Convex Hulls of Random Sets . . . . . . . . . . . . . . 395--414 Masakiyo Miyazawa Insensitivity and Product-Form Decomposability of Reallocatable GSMP 415--437 K. Szajowski Double Stopping by Two Decision-Makers 438--452 J. Keilson and L. D. Servi The Matrix M/M/$ \infty $ System: Retrial Models and Markov Modulated Sources . . . . . . . . . . . . . . . . 453--471 José Luis Palacios Fluctuation Theory for the Ehrenfest Urn via Electric Networks . . . . . . . . . 472--476 Emad-Eldin A. A. Aly and Subhash C. Kochar On Hazard Rate Ordering of Dependent Variables . . . . . . . . . . . . . . . 477--482 T. Choukri The Transient Blocking Probabilities in M/M/N Loss Systems via Large Deviations 483--486 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Sean P. Meyn and R. L. Tweedie Stability of Markovian Processes II: Continuous-Time Processes and Sampled Chains . . . . . . . . . . . . . . . . . 487--517 Sean P. Meyn and R. L. Tweedie Stability of Markovian Processes III: Foster--Lyapunov Criteria for Continuous-Time Processes . . . . . . . 518--548 Yadong Wu A Multilevel Birth--Death Particle System and Its Continuous Diffusion . . 549--569 C. Donati-Martin and M. Yor On Some Examples of Quadratic Functionals of Brownian Motion . . . . . 570--584 C. Teresa Lam Superposition of Markov Renewal Processes and Applications . . . . . . . 585--606 D. J. Daley and L. D. Servi A Two-Point Markov Chain Boundary-Value Problem . . . . . . . . . . . . . . . . 607--630 Sabyasachi Basu and Gregory C. Reinsel Properties of the Spatial Unilateral First-Order ARMA Model . . . . . . . . . 631--648 Lawrence Markus and Ananda Weerasinghe Stochastic Non-Linear Oscillators . . . 649--666 Adam Shwartz and Alan Weiss Induced Rare Events: Analysis via Large Deviations and Time Reversal . . . . . . 667--689 Huei-Mei Liang and V. G. Kulkarni Stability Condition for a Single-Server Retrial Queue . . . . . . . . . . . . . 690--701 P. Leguesdron and J. Pellaumail and G. Rubino and B. Sericola Transient Analysis of the M/M/1 Queue 702--713 K. D. Glazebrook On a Family of Prior Distributions for a Class of Bayesian Search Models . . . . 714--716 Anonymous Correction: On the Relationship between $ \mu $-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov Chains . . . . . 717--719 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank Ball and Damian Clancy The Final Size and Severity of a Generalised Stochastic Multitype Epidemic Model . . . . . . . . . . . . . 721--736 Anthony G. Pakes Explosive Markov Branching Processes: Entrance Laws and Limiting Behaviour . . 737--756 J. D. Biggins and N. H. Bingham Large Deviations in the Supercritical Branching Process . . . . . . . . . . . 757--772 Alison M. Etheridge Limiting Behaviour of Two-Level Measure-Branching . . . . . . . . . . . 773--782 I. J. B. F. Adan and J. Wessels and W. H. M. Zijm A Compensation Approach for Two-Dimensional Markov Processes . . . . 783--817 M. A. Guerry The Probability of Attaining a Structure in a Partially Stochastic Model . . . . 818--824 Frans A. Boshuizen and José M. Gouweleeuw General Optimal Stopping Theorems for Semi-Markov Processes . . . . . . . . . 825--846 Ma\lgorzata Roos Compound Poisson Approximations for the Numbers of Extreme Spacings . . . . . . 847--874 Nahum Shimkin Extremal Large Deviations in Controlled i.i.d. Processes with Applications to Hypothesis Testing . . . . . . . . . . . 875--894 Haijun Li and Moshe Shaked Stochastic Majorization of Stochastically Monotone Families of Random Variables . . . . . . . . . . . . 895--913 Emad El-Neweihi and Jayaram Sethuraman Optimal Allocation under Partial Ordering of Lifetimes of Components . . 914--925 Nader Ebrahimi Modeling of Repairable Systems . . . . . 926--938 Franco Pellerey Partial Orderings under Cumulative Damage Shock Models . . . . . . . . . . 939--946 Dimitris J. Bertsimas and Garrett Van Ryzin Stochastic and Dynamic Vehicle Routing with General Demand and Interarrival Time Distributions . . . . . . . . . . . 947--978 Arie Hordijk and Ger Koole On the Optimality of LEPT and $ \mu c $ Rules for Parallel Processors and Dependent Arrival Processes . . . . . . 979--996 Pawel Gazdzicki and Ioannis Lambadaris and Ravi R. Mazumdar Blocking Probabilities for Large Multirate Erlang Loss Systems . . . . . 997--1009 Aidan Sudbury The Survival of Various Interacting Particle Systems . . . . . . . . . . . . 1010--1012 Anonymous Correction: On Preservation of Some Partial Orderings under Shock Models . . 1013--1013 Anonymous Volume Information . . . . . . . . . . . 1015--1017 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
E. B. Vedel Jensen and K. Kiêu Unbiased Stereological Estimation of $d$-Dimensional Volume in $ R^n$ from an Isotropic Random Slice through a Fixed Point . . . . . . . . . . . . . . . . . 1--12 K. J. Worsley Local Maxima and the Expected Euler Characteristic of Excursion Sets of $ \chi^2 $, $F$ and $t$ Fields . . . . . . 13--42 Thomas H. Scheike Anisotropic Growth of Voronoi Cells . . 43--53 Richard Cowan and Albert K. L. Tsang The Falling-Leaves Mosaic and Its Equilibrium Properties . . . . . . . . . 54--62 O. E. Barndorff-Nielsen A Note on Electrical Networks and the Inverse Gaussian Distribution . . . . . 63--67 P. K. Pollett and D. E. Stewart An Efficient Procedure for Computing Quasi-Stationary Distributions of Markov Chains with Sparse Transition Structure 68--79 Catherine Bouton and Gilles Pag\`es Convergence in Distribution of the One-Dimensional Kohonen Algorithms When the Stimuli Are Not Uniform . . . . . . 80--103 Allen L. Roginsky A Central Limit Theorem for Cumulative Processes . . . . . . . . . . . . . . . 104--121 Stephen L. Rathbun and Noel Cressie Asymptotic Properties of Estimators for the Parameters of Spatial Inhomogeneous Poisson Point Processes . . . . . . . . 122--154 Panayotis D. Sparaggis and Don Towsley and Christos G. Cassandras Sample Path Criteria for Weak Majorization . . . . . . . . . . . . . . 155--171 Z. Khalil and B. Dimitrov The Service Time Properties of an Unreliable Server Characterize the Exponential Distribution . . . . . . . . 172--182 M. Aebi and P. Embrechts and T. Mikosch Stochastic Discounting, Aggregate Claims, and the Bootstrap . . . . . . . 183--206 Jie Mi Burn-in and Maintenance Policies . . . . 207--221 Zhen Liu and Don Towsley Stochastic Scheduling in In-Forest Networks . . . . . . . . . . . . . . . . 222--241 W\ladys\law Szczotka and Krzysztof Topolski Conditioned Limit Theorems for the Difference of Waiting Time and Queue Length . . . . . . . . . . . . . . . . . 242--257 Dimitrios G. Pandelis and Demosthenis Teneketzis Optimal Multiserver Stochastic Scheduling of Two Interconnected Priority Queues . . . . . . . . . . . . 258--279 Anonymous Correction: Partial Orderings under Cumulative Damage Shock Models . . . . . 280--280 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
M. N. M. Van Lieshout Stochastic Annealing for Nearest-Neighbour Point Processes with Application to Object Recognition . . . 281--300 Ilya Molchanov and Dietrich Stoyan Asymptotic Properties of Estimators for Parameters of the Boolean Model . . . . 301--323 John Gates Shape Distributions for Planar Triangles by Dual Construction . . . . . . . . . . 324--333 K. V. Mardia and I. L. Dryden Shape Averages and Their Bias . . . . . 334--340 W. G. S. Hines ESS Modelling of Diploid Populations I: Anatomy of One-Locus Allelic Frequency Simplices . . . . . . . . . . . . . . . 341--360 W. G. S. Hines ESS Modelling of Diploid Populations II: Stability Analysis of Possible Equilibria . . . . . . . . . . . . . . . 361--376 G. Kallianpur and J. Xiong Stochastic Models of Environmental Pollution . . . . . . . . . . . . . . . 377--403 Paul Embrechts and Hanspeter Schmidli Ruin Estimation for a General Insurance Risk Model . . . . . . . . . . . . . . . 404--422 C. Teresa Lam and R. H. Yeh Comparison of Sequential and Continuous Inspection Strategies for Deteriorating Systems . . . . . . . . . . . . . . . . 423--435 W. Henderson and B. S. Northcote and P. G. Taylor State-Dependent Signalling in Queueing Networks . . . . . . . . . . . . . . . . 436--455 J. A. Morrison Loss Probabilities in a Simple Circuit-Switched Network . . . . . . . . 456--473 Mark P. Van Oyen and Demosthenis Teneketzis Optimal Stochastic Scheduling of Forest Networks with Switching Penalties . . . 474--497 Wojciech Szpankowski Stability Conditions for Some Distributed Systems: Buffered Random Access Systems . . . . . . . . . . . . . 498--515 Gunter Ritter On the Mean Sojourn Time of Jobs in Queues with General Service Disciplines 516--538 Sergei Grishechkin GI/G/1 Processor Sharing Queue in Heavy Traffic . . . . . . . . . . . . . . . . 539--555 P. Konstantopoulos and M. Zazanis Sensitivity Analysis for Stationary and Ergodic Queues: Additional Results . . . 556--560 Peter Kirschenhofer and Helmut Prodinger The Higher Moments of the Number of Returns of a Simple Random Walk . . . . 561--563 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Chiu Mean-Value Formulae for the Neighbourhood of the Typical Cell of a Random Tessellation . . . . . . . . . . 565--576 David Mannion The Volume of a Tetrahedron Whose Vertices Are Chosen at Random in the Interior of a Parent Tetrahedron . . . . 577--596 Vladimir P. Nosko The Horizon of the Random Cone Field under a Trend . . . . . . . . . . . . . 597--615 Mauro Piccioni and Sergio Scarlatti An Iterative Monte Carlo Scheme for Generating Lie Group-Valued Random Variables . . . . . . . . . . . . . . . 616--628 Frank Ball and Philip O'Neill Strong Convergence of Stochastic Epidemics . . . . . . . . . . . . . . . 629--655 Steven M. Butler The Final State of an Epidemic in a Large Heterogeneous Population with a Large Initial Number of Infectives . . . 656--670 Steven M. Butler The Early and Final States of an Epidemic in a Large Heterogeneous Population with a Small Initial Number of Infectives . . . . . . . . . . . . . 671--689 Håkan Andersson and Boualem Djehiche A Functional Limit Theorem for the Total Cost of a Multitype Standard Epidemic 690--697 J. C. D'Souza The Rates of Growth of the Galton--Watson Process in Varying Environments . . . . . . . . . . . . . . 698--714 Peter Donnelly and Peter Lloyd and Aidan Sudbury Approach to Stationarity of the Bernoulli--Laplace Diffusion Model . . . 715--727 Ioannis I. Gerontidis Semi-Markov Replacement Chains . . . . . 728--755 Dimitris N. Politis Markov Chains in Many Dimensions . . . . 756--774 Pekka Tuominen and Richard L. Tweedie Subgeometric Rates of Convergence of $f$-Ergodic Markov Chains . . . . . . . 775--798 Zhao-Guo Chen and Oliver D. Anderson The Representation and Decomposition of Integrated Stationary Time Series . . . 799--819 José Luis Palacios Another Look at the Ehrenfest Urn via Electric Networks . . . . . . . . . . . 820--824 C. R. Rao and T. Sapatinas and D. N. Shanbhag The Integrated Cauchy Functional Equation: Some Comments on Recent Papers 825--829 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Jeffrey D. Helterbrand and Noel Cressie and Jennifer L. Davidson A Statistical Approach to Identifying Closed Object Boundaries in Images . . . 831--854 Irene Hueter The Convex Hull of a Normal Sample . . . 855--875 K.-H. Küfer On the Approximation of a Ball by Random Polytopes . . . . . . . . . . . . . . . 876--892 K. V. Mardia and A. N. Walder Size-and-Shape Distributions for Paired Landmark Data . . . . . . . . . . . . . 893--905 V. Weiss and W. Nagel Second-Order Stereology for Planar Fibre Processes . . . . . . . . . . . . . . . 906--918 Frank Ball and Robin K. Milne and Geoffrey F. Yeo Continuous-Time Markov Chains in a Random Environment, with Applications to Ion Channel Modelling . . . . . . . . . 919--946 D. J. Hartfiel and E. Seneta On the Theory of Markov Set-Chains . . . 947--964 Raymond W. Yeung and Bhaskar Sengupta Matrix Product-Form Solutions for Markov Chains with a Tree Structure . . . . . . 965--987 Bernard Van Cutsem and Bernard Ycart Renewal-Type Behavior of Absorption Times in Markov Chains . . . . . . . . . 988--1005 Eckhard Platen and Rolando Rebolledo Pricing via Anticipative Stochastic Calculus . . . . . . . . . . . . . . . . 1006--1021 Xinhong Ding A Limit Theorem for Certain Disordered Random Systems . . . . . . . . . . . . . 1022--1043 Peter W. Glynn Poisson's Equation for the Recurrent M/G/1 Queue . . . . . . . . . . . . . . 1044--1062 Harold J. Kushner Approximations of Large Trunk Line Systems under Heavy Traffic . . . . . . 1063--1094 Eitan Altman and Hanoch Levy Queueing in Space . . . . . . . . . . . 1095--1116 Sòren Asmussen and Mogens Bladt A Sample Path Approach to Mean Busy Periods for Markov-Modulated Queues and Fluids . . . . . . . . . . . . . . . . . 1117--1121 Anonymous Volume Information . . . . . . . . . . . 1122--1124 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Paco Montes Stereology and Image Analysis: In Honour of Professor L. A. Santaló . . . . . . . 1--1 A. J. Baddeley and L. M. Cruz-Orive The Rao--Blackwell Theorem in Stereology and Some Counterexamples . . . . . . . . 2--19 Christina Bauer and Rolf Schneider Extremal Problems for Geometric Probabilities Involving Convex Bodies 20--34 David G. Kendall How to Look at Objects in a Five-Dimensional Shape Space: Looking at Geodesics . . . . . . . . . . . . . . . 35--43 Huiling Le Mean Size-and-Shapes and Mean Shapes: A Geometric Point of View . . . . . . . . 44--55 J. Mecke Inequalities for the Anisotropic Poisson Polytope . . . . . . . . . . . . . . . . 56--62 Ilya S. Molchanov Statistics of the Boolean Model: From the Estimation of Means to the Estimation of Distributions . . . . . . 63--86 Eva B. Vedel Jensen Rotational Versions of the Crofton Formula . . . . . . . . . . . . . . . . 87--96 Richard A. Vitale On the Volume of Parallel Bodies: A Probabilistic Derivation of the Steiner Formula . . . . . . . . . . . . . . . . 97--101 Wolfgang Weil The Estimation of Mean Shape and Mean Particle Number in Overlapping Particle Systems in the Plane . . . . . . . . . . 102--119 Anthony G. Pakes Quasi-Stationary Laws for Markov Processes: Examples of an Always Proximate Absorbing State . . . . . . . 120--145 Lakhdar Aggoun and Robert J. Elliott Finite-Dimensional Models for Hidden Markov Chains . . . . . . . . . . . . . 146--160 Béla Bollobás and Graham Brightwell Random High-Dimensional Orders . . . . . 161--184 Svetlozar T. Rachev and Gennady Samorodnitsky Limit Laws for a Stochastic Process and Random Recursion Arising in Probabilistic Modelling . . . . . . . . 185--202 Masakiyo Miyazawa and Rolf Schassberger and Volker Schmidt On the Structure of an Insensitive Generalized Semi-Markov Process with Reallocation and Point-Process Input . . 203--225 H. Daduna and R. Szekli Dependencies in Markovian Networks . . . 226--254 P. J. Hunt Loss Networks under Diverse Routing: The Symmetric Star Network . . . . . . . . . 255--272 N. G. Bean and R. J. Gibbens and S. Zachary Asymptotic Analysis of Single Resource Loss Systems in Heavy Traffic, with Applications to Integrated Networks . . 273--292 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Guillermo Ayala and Amelia Simó Bivariate Random Closed Sets and Nerve Fibre Degeneration . . . . . . . . . . . 293--305 François Baccelli and Maurice Klein and Sergei Zuyev Perturbation Analysis of Functionals of Random Measures . . . . . . . . . . . . 306--325 Viktor Benes On Second-Order Formulas in Anisotropic Stereology . . . . . . . . . . . . . . . 326--343 J. Ferrándiz and F. Montes On Statistical Inference for Random Closed Sets in Compact Subsets of $ R^d $ . . . . . . . . . . . . . . . . . . . 344--349 Shigeru Mase Stereological Estimation of Particle Size Distributions . . . . . . . . . . . 350--366 Jesper Mòller Generation of Johnson-Mehl Crystals and Comparative Analysis of Models for Random Nucleation . . . . . . . . . . . 367--383 J. Ohser and F. Mucklich Stereology for Some Classes of Polyhedrons . . . . . . . . . . . . . . 384--396 R. E. Miles A Heuristic Proof of a Long-Standing Conjecture of D. G. Kendall concerning the Shapes of Certain Large Random Polygons . . . . . . . . . . . . . . . . 397--417 Neil O'Connell The Genealogy of Branching Processes and the Age of Our Most Recent Common Ancestor . . . . . . . . . . . . . . . . 418--442 Silvia Heubach and Joseph Watkins A Stochastic Model for the Movement of a White Blood Cell . . . . . . . . . . . . 443--475 Venkat Anantharam and Takis Konstantopoulos A Functional Central Limit Theorem for the Jump Counts of Markov Processes with an Application to Jackson Networks . . . 476--509 Huan Li and Yixin Zhu On M/G/1 Queues with Exhaustive Service and Generalized Vacations . . . . . . . 510--531 John S. Sadowsky and Wojciech Szpankowski The Probability of Large Queue Lengths and Waiting Times in a Heterogeneous Multiserver Queue I: Tight Limits . . . 532--566 John S. Sadowsky The Probability of Large Queue Lengths and Waiting Times in a Heterogeneous Multiserver Queue II: Positive Recurrence and Logarithmic Limits . . . 567--583 Anonymous Corrections to Abdel-Hameed and Daley 584--584 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
A. J. Cabo and A. J. Baddeley Line Transects, Covariance Functions and Set Convergence . . . . . . . . . . . . 585--605 R. V. Ambartzumian and V. K. Oganian Measure Generation by Euler Functionals 606--626 Jason J. Brown A Bootstrap Algorithm for the Isotropic Random Sphere . . . . . . . . . . . . . 627--641 Jason J. Brown A Central Limit Theorem for the Isotropic Random Sphere . . . . . . . . 642--651 Harry Kesten A Ratio Limit Theorem for (Sub) Markov Chains on $ 1, 2, \ldots $; with Bounded Jumps . . . . . . . . . . . . . . . . . 652--691 P. Whittle Large-Deviation Expressions for the Distribution of First-Passage Coordinates . . . . . . . . . . . . . . 692--710 Ioannis I. Gerontidis Markov Population Replacement Processes 711--740 Xi-Ren Cao Event Coupling and Performance Sensitivity Analysis of Generalized Semi-Markov Processes . . . . . . . . . 741--769 S. T. Rachev and L. Rüschendorf Probability Metrics and Recursive Algorithms . . . . . . . . . . . . . . . 770--799 B. Forte and E. R. Vrscay Solving the Inverse Problem for Measures Using Iterated Function Systems: A New Approach . . . . . . . . . . . . . . . . 800--820 Gideon Weiss On Almost Optimal Priority Rules for Preemptive Scheduling of Stochastic Jobs on Parallel Machines . . . . . . . . . . 821--839 M. Martin and J. R. Artalejo Analysis of an M/G/1 Queue with Two Types of Impatient Units . . . . . . . . 840--861 Fabrice Guillemin and Alain Simonian Transient Characteristics of an M/M/$ \infty $ System . . . . . . . . . . . . 862--888 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Chiu Limit Theorems for the Time of Completion of Johnson--Mehl Tessellations . . . . . . . . . . . . . 889--910 Nancy Lopes Garcia Birth and Death Processes as Projections of Higher-Dimensional Poisson Processes 911--930 Ilya S. Molchanov and Edward Omey and Eugene Kozarovitzky An Elementary Renewal Theorem for Random Compact Convex Sets . . . . . . . . . . 931--942 K. J. Worsley Boundary Corrections for the Expected Euler Characteristic of Excursion Sets of Random Fields, with an Application to Astrophysics . . . . . . . . . . . . . . 943--959 Philip O'Neill Epidemic Models Featuring Behaviour Change . . . . . . . . . . . . . . . . . 960--979 Leonid Mytnik and Robert J. Adler Bisexual Branching Diffusions . . . . . 980--1018 Peter W. Glynn and Pierre L'Ecuyer Likelihood Ratio Gradient Estimation for Stochastic Recursions . . . . . . . . . 1019--1053 Rajeev Agrawal Sample Mean Based Index Policies with O(log n) Regret for the Multi-Armed Bandit Problem . . . . . . . . . . . . . 1054--1078 Moshe Shaked and Ryszard Szekli Comparison of Replacement Policies via Point Processes . . . . . . . . . . . . 1079--1103 Gagan L. Choudhury and Kin K. Leung and Ward Whitt An Algorithm to Compute Blocking Probabilities in Multi-Rate Multi-Class Multi-Resource Loss Models . . . . . . . 1104--1143 Kimon P. Kontovasilis and Nikolas M. Mitrou Markov-Modulated Traffic with Nearly Complete Decomposability Characteristics and Associated Fluid Queueing Models . . 1144--1185 Rafael Pérez-Ocón and M. Luz Gámiz-Pérez On the HNBUE Property in a Class of Correlated Cumulative Shock Models . . . 1186--1188 Anonymous Volume Information . . . . . . . . . . . 1189--1191 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
John T. Kent and Kanti V. Mardia and Alistair N. Walder Conditional Cyclic Markov Random Fields 1--12 G. Last and R. Schassberger A Flow Conservation Law for Surface Processes . . . . . . . . . . . . . . . 13--28 Mathew D. Penrose and Agoston Pisztora Large Deviations for Discrete and Continuous Percolation . . . . . . . . . 29--52 Craig L. Zirbel and Erhan Çinlar Dispersion of Particle Systems in Brownian Flows . . . . . . . . . . . . . 53--74 Joseph Abate and Ward Whitt An Operational Calculus for Probability Distributions via Laplace Transforms . . 75--113 H. R. Gail and S. L. Hantler and B. A. Taylor Spectral Analysis of M/G/1 and G/M/1 Type Markov Chains . . . . . . . . . . . 114--165 Sigrún Andradóttir and Daniel P. Heyman and Teunis J. Ott Potentially Unlimited Variance Reduction in Importance Sampling of Markov Chains 166--188 Fumiyasu Komaki Homogeneous Gaussian Markov Processes on General Lattices . . . . . . . . . . . . 189--206 J. Bertoin and R. A. Doney Some Asymptotic Results for Transient Random Walks . . . . . . . . . . . . . . 207--226 Reinhard Bürger and Immanuel M. Bomze Stationary Distributions under Mutation-Selection Balance: Structure and Properties . . . . . . . . . . . . . 227--251 Rudolf Grübel and Uwe Rösler Asymptotic Distribution Theory for Hoare's Selection Algorithm . . . . . . 252--269 L. Sacerdote and F. Tomassetti On Evaluations and Asymptotic Approximations of First-Passage-Time Probabilities . . . . . . . . . . . . . 270--284 Leandros Tassiulas and Anthony Ephremides Throughput Properties of a Queueing Network with Distributed Dynamic Routing and Flow Control . . . . . . . . . . . . 285--307 Masakiyo Miyazawa and Ronald W. Wolff Symmetric Queues with Batch Departures and Their Networks . . . . . . . . . . . 308--326 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 327--327 E. B. Vedel Jensen Introduction . . . . . . . . . . . . . . 328--328 X. Gual Arnau and L. M. Cruz-Orive Consistency in Systematic Sampling for Stereology . . . . . . . . . . . . . . . 329--330 Guillermo Ayala and Amelia Simó Correlations in Bivariate Point Processes: Some Biological Applications 330--330 Richard Cowan and Simone Chen The Random Division of Faces in a Planar Graph . . . . . . . . . . . . . . . . . 331--331 Richard Cowan Shapes of Prisms after Repeated Random Division . . . . . . . . . . . . . . . . 331--331 Paul Goodey and Markus Kiderlen and Wolfgang Weil Section Means, Integral Transforms, and Boolean Models . . . . . . . . . . . . . 332--333 Martin Bògsted Hansen Bayes Type Estimators for the Empty Space Function . . . . . . . . . . . . . 333--333 Lothar Heinrich and Ilya S. Molchanov Central Limit Theorem for a Class of Random Measures Associated with Germ-Grain Models . . . . . . . . . . . 333--334 E. B. Vedel Jensen An Induction Proof of the Generalized Blaschke-Petkantschin Formula . . . . . 334--334 Wilfrid S. Kendall A Diffusion Model for Bookstein Triangle Shape . . . . . . . . . . . . . . . . . 334--335 Markus Kiderlen On Projected Thick Sections of Stationary Point Processes and Boolean Models . . . . . . . . . . . . . . . . . 335--335 Kiên Kiêu and Marianne Mora Estimating the Reduced Moments of a Random Measure . . . . . . . . . . . . . 335--336 Ch. Lantuéjoul Conditional Simulation of a Boolean Model . . . . . . . . . . . . . . . . . 336--336 Huiling Le On Procrustean Mean Shapes and the Shape of the Means . . . . . . . . . . . . . . 336--337 Vicent J. Martínez and María Jesús Pons-Bordería Statistical Studies of the Spatial Distribution of Galaxies . . . . . . . . 337--338 Joseph Mecke Inequalities for the Cells of Mixed Stationary Poisson Hyperplane Tessellations . . . . . . . . . . . . . 338--338 Roger E. Miles and Margaret S. Mackisack Further Random Tessellations with the Classic Poisson Polygon Distributions 338--339 Joachim Ohser and Werner Nagel Stereological Estimation of the Size Distribution for Systems of Random Convex Polyhedrons . . . . . . . . . . . 340--341 Jan Rataj Mixed Curvature Measures and a Translative Integral Formula . . . . . . 341--341 Konrad Sandau and Haymo Kurz Some Properties of a 2D Arterial Tree Simulated by a Stochastic Growth Model 341--342 Katja Schladitz Estimation of the Intensity of Stationary Flat Processes . . . . . . . 342--342 Masaharu Tanemura Methods of Simulating Random Patterns of Non-Spherical Objects and Their Application . . . . . . . . . . . . . . 342--343 Edward C. Waymire Multiscaling and Random Cascades . . . . 343--344 Martina Zähle Dimensions of Measures under Orthogonal Projections . . . . . . . . . . . . . . 344--345 A. J. Baddeley and M. N. M. Van Lieshout and J. Mòller Markov Properties of Cluster Processes 346--355 S. N. Chiu and R. Van De Weygaert and D. Stoyan The Sectional Poisson Voronoi Tessellation Is Not a Voronoi Tessellation . . . . . . . . . . . . . . 356--376 Richard Cowan and Simone Chen The Random Division of Faces in a Planar Graph . . . . . . . . . . . . . . . . . 377--383 Lutz Dümbgen and Günther Walther Rates of Convergence for Random Approximations of Convex Sets . . . . . 384--393 Jan Rataj Estimation of Oriented Direction Distribution of a Planar Body . . . . . 394--404 D. S. Poskitt and Shin-Ho Chung Markov Chain Models, Time Series Analysis and Extreme Value Theory . . . 405--425 Charles M. Goldie and Ross A. Maller A Point-Process Approach to Almost-Sure Behaviour of Record Values and Order Statistics . . . . . . . . . . . . . . . 426--462 Charles M. Goldie and Rudolf Grübel Perpetuities with Thin Tails . . . . . . 463--480 Oleg Seleznjev Large Deviations in the Piecewise Linear Approximation of Gaussian Processes with Stationary Increments . . . . . . . . . 481--499 Carlos E. Puente and Miguel M. López and Jorge E. Pinzón and José M. Angulo The Gaussian Distribution Revisited . . 500--524 Jim Pitman Random Discrete Distributions Invariant under Size-Biased Permutation . . . . . 525--539 Peter G. Harrison and Edwige Pitel The M/G/1 Queue with Negative Customers 540--566 Qi-Ming He Queues with Marked Customers . . . . . . 567--587 Dimitris Bertsimas and Georgia Mourtzinou A Unified Method to Analyze Overtake Free Queueing Systems . . . . . . . . . 588--625 Anonymous Back Matter . . . . . . . . . . . . . . ??
C. A. Glasbey Inference on Binary Images from Binary Data . . . . . . . . . . . . . . . . . . 627--640 K. V. Mardia and Colin Goodall and Alistair Walder Distributions of Projective Invariants and Model-Based Machine Vision . . . . . 641--661 Jesper Mòller and Sergei Zuyev Gamma-Type Results and Other Related Properties of Poisson Processes . . . . 662--673 Li-Xing Zhu and Ping Cheng and Gang Wei and Pei-De Shi A Stopping Time concerning Sphere Data and Its Applications . . . . . . . . . . 674--686 Marvin K. Nakayama General Conditions for Bounded Relative Error in Simulations of Highly Reliable Markovian Systems . . . . . . . . . . . 687--727 O. Stramer and P. J. Brockwell and R. L. Tweedie Continuous-Time Threshold AR(1) Processes . . . . . . . . . . . . . . . 728--746 M. Menshikov and R. J. Williams Passage-Time Moments for Continuous Non-Negative Stochastic Processes and Applications . . . . . . . . . . . . . . 747--762 Terence Chan Some Diffusion Models for the Mabinogion Sheep Problem of Williams . . . . . . . 763--783 I-Jeng Wang and Edwin K. P. Chong and Sanjeev R. Kulkarni Equivalent Necessary and Sufficient Conditions on Noise Sequences for Stochastic Approximation Algorithms . . 784--801 Susan M. Pitts and Rudolf Grübel and Paul Embrechts Confidence Bounds for the Adjustment Coefficient . . . . . . . . . . . . . . 802--827 David Assaf and Ester Samuel-Cahn The Secretary Problem: Minimizing the Expected Rank with i.i.d. Random Variables . . . . . . . . . . . . . . . 828--852 Philippe Picard and Claude Lef\`evre First Crossing of Basic Counting Processes with Lower Non-Linear Boundaries: A Unified Approach through Pseudopolynomials (I) . . . . . . . . . 853--876 Claude Lef\`evre and Philippe Picard Abelian-Type Expansions and Non-Linear Death Processes (II) . . . . . . . . . . 877--894 Ingemar Nåsell The Quasi-Stationary Distribution of the Closed Endemic SIS Model . . . . . . . . 895--932 J. C. Whittaker The Allocation of Resources in a Multiple-Trial War of Attrition Conflict 933--964 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. G. Foss and S. A. Zuyev On a Voronoi Aggregative Process Related to a Bivariate Poisson Process . . . . . 965--981 X. Gual Arnau and L. M. Cruz-Orive Consistency in Systematic Sampling . . . 982--992 Margaret S. Mackisack and Roger E. Miles Homogeneous Rectangular Tessellations 993--1013 P. Vallois The Range of a Simple Random Walk on $ \mathbb {Z} $ . . . . . . . . . . . . . 1014--1033 J. Alfredo López-Mimbela and Anton Wakolbinger Clumping in Multitype-Branching Trees 1034--1050 Mike Steel and Larry Goldstein and Michael S. Waterman A Central Limit Theorem for the Parsimony Length of Trees . . . . . . . 1051--1071 Jean-Claude Fort and Gilles Pag\`es Convergence of Stochastic Algorithms: From the Kushner--Clark Theorem to the Lyapounov Functional Method . . . . . . 1072--1094 Igor Pikovsky and Ioannis Karatzas Anticipative Portfolio Optimization . . 1095--1122 K. D. Glazebrook On the Undiscounted Tax Problem with Precedence Constraints . . . . . . . . . 1123--1144 Sid Browne and Ward Whitt Portfolio Choice and the Bayesian Kelly Criterion . . . . . . . . . . . . . . . 1145--1176 Tao Yang and M. L. Chaudhry On Steady-State Queue Size Distributions of the Discrete-Time GI/G/1 Queue . . . 1177--1200 Susan H. Xu and Y. Quennel Zhao Dynamic Routing and Jockeying Controls in a Two-Station Queueing System . . . . 1201--1226 Anonymous Volume Information . . . . . . . . . . . 1227--1229 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Sven Erick Alm On the Distributions of Scan Statistics of a Two-Dimensional Poisson Process . . 1--18 T. Bedford and J. Van Den Berg A Remark on the Van Lieshout and Baddeley $J$-Function for Point Processes . . . . . . . . . . . . . . . 19--25 Richard Cowan Shapes of Rectangular Prisms after Repeated Random Division . . . . . . . . 26--37 J. C. D'Souza and B. M. Hambly On the Survival Probability of a Branching Process in a Random Environment . . . . . . . . . . . . . . 38--55 Frank Ball and Robin K. Milne and Ian D. Tame and Geoffrey F. Yeo Superposition of Interacting Aggregated Continuous-Time Markov Chains . . . . . 56--91 Frank Ball and Sue Davies Clustering of Bursts of Openings in Markov and Semi-Markov Models of Single Channel Gating . . . . . . . . . . . . . 92--113 Linn I. Sennott The Computation of Average Optimal Policies in Denumerable State Markov Decision Chains . . . . . . . . . . . . 114--137 Roland Perfekt Extreme Value Theory for a Class of Markov Chains with Values in $ R^d $ . . 138--164 Marc Chesney and Monique Jeanblanc-Picqué and Marc Yor Brownian Excursions and Parisian Barrier Options . . . . . . . . . . . . . . . . 165--184 M. Kijima and M. G. Nair and P. K. Pollett and E. A. Van Doorn Limiting Conditional Distributions for Birth--Death Processes . . . . . . . . . 185--204 P. J. Brockwell and R. J. Williams On the Existence and Application of Continuous-Time Threshold Autoregressions of Order Two . . . . . . 205--227 Alain Latour The Multivariate GINAR(p) Process . . . 228--248 Jacques Istas and Catherine Laredo Estimating Functionals of a Stochastic Process . . . . . . . . . . . . . . . . 249--270 Sidney Resnick and C\uat\ualin St\uaric\ua Smoothing the Hill Estimator . . . . . . 271--293 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Robert J. Adler and Ron Pyke Scanning Brownian Processes . . . . . . 295--326 J. Quintanilla and S. Torquato Clustering in a Continuum Percolation Model . . . . . . . . . . . . . . . . . 327--336 Yiping Chen and Nozer D. Singpurwalla Unification of Software Reliability Models by Self-Exciting Point Processes 337--352 Quansheng Liu Sur une équation fonctionnelle et ses applications: une extension du théor\`eme de Kesten--Stigum concernant des processus de branchement. (French) [On a functional equation and its applications: an extension of the theorem of Kesten--Stigum concerning branching processes] . . . . . . . . . . 353--373 V. Cekanavicius Asymptotic Expansions in the Exponent: A Compound Poisson Approach . . . . . . . 374--387 Eitan Altman and Arie Hordijk Applications of Borovkov's Renovation Theory to Non-Stationary Stochastic Recursive Sequences and Their Control 388--413 Alfred Müller Stochastic Orders Generated by Integrals: A Unified Study . . . . . . . 414--428 Alfred Müller Integral Probability Metrics and Their Generating Classes of Functions . . . . 429--443 Jean Mairesse Products of Irreducible Random Matrices in the (max, +) Algebra . . . . . . . . 444--477 J. V. Deshpande and S. R. Karia Bounds for the Joint Survival and Incidence Functions through Coherent System Data . . . . . . . . . . . . . . 478--497 Hanqin Zhang Strong Approximations of Irreducible Closed Queueing Networks . . . . . . . . 498--522 Masakiyo Miyazawa and Peter G. Taylor A Geometric Product-Form Distribution for a Queueing Network with Non-Standard Batch Arrivals and Batch Transfers . . . 523--544 Naoto Miyoshi and Toshiharu Hasegawa Smoothed Perturbation Analysis for Single-Server Queues with Some General Service Disciplines . . . . . . . . . . 545--566 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Martin J. B. Appel and Ralph P. Russo The Maximum Vertex Degree of a Graph on Uniform Points in $ [0, 1]^d $ . . . . . 567--581 Martin J. B. Appel and Ralph P. Russo The Minimum Vertex Degree of a Graph on Uniform Points in $ [0, 1]^d $ . . . . . 582--594 Lev B. Klebanov and Svetlozar T. Rachev Computer Tomography and Quantum Mechanics . . . . . . . . . . . . . . . 595--606 L. G. Hanin and S. T. Rachev and A. D. Tsodikov and A. Yu. Yakovlev A Stochastic Model of Carcinogenesis and Tumor Size at Detection . . . . . . . . 607--628 Fengzhu Sun and Michael S. Waterman Whole Genome Amplification and Branching Processes . . . . . . . . . . . . . . . 629--668 M. Cramer Stochastic Analysis of `Simultaneous Merge-Sort' . . . . . . . . . . . . . . 669--694 C. D. Fuh Corrected Diffusion Approximations for Ruin Probabilities in a Markov Random Walk . . . . . . . . . . . . . . . . . . 695--712 Shiowjen Lee and J. Lynch Total Positivity of Markov Chains and the Failure Rate Character of Some First Passage Times . . . . . . . . . . . . . 713--732 H. R. Gail and S. L. Hantler and B. A. Taylor Non-Skip-Free M/G/1 and G/M/1 Type Markov Chains . . . . . . . . . . . . . 733--758 Paul D. Feigin and Sidney I. Resnick Linear Programming Estimators and Bootstrapping for Heavy Tailed Phenomena 759--805 A. Simonian and J. W. Roberts and F. Théberge and R. Mazumdar Asymptotic Estimates for Blocking Probabilities in a Large Multi-Rate Loss Network . . . . . . . . . . . . . . . . 806--829 Laurent Truffet Near Complete Decomposability: Bounding the Error by a Stochastic Comparison Method . . . . . . . . . . . . . . . . . 830--855 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
D. J. Gates Stationary States of a Directed Planar Growth Process . . . . . . . . . . . . . 857--877 Anish Sarkar Co-Existence of the Occupied and Vacant Phase in Boolean Models in Three or More Dimensions . . . . . . . . . . . . . . . 878--889 Wolfgang Weil On the Mean Shape of Particle Processes 890--908 Frank Ball Empirical Clustering of Bursts of Openings in Markov and Semi-Markov Models of Single Channel Gating Incorporating Time Interval Omission . . 909--946 Valeri T. Stefanov and Geoffrey F. Yeo Explicit Asymptotic Results for Open Times in Ion Channel Models . . . . . . 947--964 Jostein Paulsen and Håkon K. Gjessing Ruin Theory with Stochastic Return on Investments . . . . . . . . . . . . . . 965--985 D. Huang Stochastic FM Models and Non-Linear Time Series Analysis . . . . . . . . . . . . 986--1003 Wei Shi Lim A Rendezvous-Evasion Game on Discrete Locations with Joint Randomization . . . 1004--1017 James Ledoux and Gerardo Rubino Simple Formulae for Counting Processes in Reliability Models . . . . . . . . . 1018--1038 Vinod Sharma Approximations of General Discrete Time Queues by Discrete Time Queues with Arrivals Modulated by Finite Chains . . 1039--1059 Chia-Li Wang Light Traffic Approximations for Regenerative Queueing Processes . . . . 1060--1080 Anonymous Volume Information . . . . . . . . . . . 1081--1083 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Jesper Mòller and Rasmus Plenge Waagepetersen Markov Connected Component Fields . . . 1--35 G. Last and R. Schassberger On the Distribution of the Spherical Contact Vector of Stationary Germ-Grain Models . . . . . . . . . . . . . . . . . 36--52 Huiling Le On the Consistency of Procrustean Mean Shapes . . . . . . . . . . . . . . . . . 53--63 Håvard Rue and Anne Randi Syversveen Bayesian Object Recognition with Baddeley's Delta Loss . . . . . . . . . 64--84 Quansheng Liu Fixed Points of a Generalized Smoothing Transformation and Applications to the Branching Random Walk . . . . . . . . . 85--112 Andreas Rudolph A Central Limit Theorem for Random Coefficient Autoregressive Models and ARCH/GARCH Models . . . . . . . . . . . 113--121 E. J. Collins and J. M. McNamara Finite-Horizon Dynamic Optimisation When the Terminal Reward Is a Concave Functional of the Distribution of the Final State . . . . . . . . . . . . . . 122--136 Odile Brandi\`ere The Dynamic System Method and the Traps 137--151 Helmut Willie Periodic Steady State of Loss Systems with Periodic Inputs . . . . . . . . . . 152--166 Robert Illsley The Moments of the Number of Exits from a Simply Connected Region . . . . . . . 167--180 P. S. Griffin and R. A. Maller On the Rate of Growth of the Overshoot and the Maximum Partial Sum . . . . . . 181--196 Anthony W. Ledford and Jonathan A. Tawn Concomitant Tail Behaviour for Extremes 197--215 Sid Browne The Return on Investment from Proportional Portfolio Strategies . . . 216--238 Rainer Buckdahn and Ying Hu Hedging Contingent Claims for a Large Investor in an Incomplete Market . . . . 239--255 Carlos A. Sin Complications with Stochastic Volatility Models . . . . . . . . . . . . . . . . . 256--268 Anonymous Correction: Homogeneous Gaussian Markov Processes on General Lattices . . . . . 269--269 Anonymous Correction: Convergence of Stochastic Algorithms: From the Kushner--Clark Theorem to the Lyapounov Functional Method . . . . . . . . . . . . . . . . . 270--270 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . 271--271 Luis M. Cruz-Orive Introduction . . . . . . . . . . . . . . 272--272 A. J. Baddeley and R. Turner Practical Maximum Pseudolikelihood for Spatial Point Patterns . . . . . . . . . 273--273 Viktor Benes Marginal Problems in Stereology . . . . 273--274 Joël Chadoeuf and Rachid Senoussi and Jian-Feng Yao Parametric Estimation in Boolean Segment Processes by a Restoration-Estimation Method . . . . . . . . . . . . . . . . . 274--275 Rodney Coleman The Crossing of Random Secants . . . . . 275--276 Luis M. Cruz-Orive The Rods Problem . . . . . . . . . . . . 276--277 Robert T. Dehoff Topological and Metric Changes during Tessellation Evolution in Two Dimensional Grain Growth . . . . . . . . 277--278 Richard D. Gill Coarsening at Random . . . . . . . . . . 278--279 Ute Hahn Estimation of Local Density in Gradient Surface and Fibre Processes . . . . . . 279--280 Hans-Karl Hummel and Joachim Ohser Flow through a Random Tessellation . . . 280--281 Eva B. Vedel Jensen and Linda Stougaard Nielsen Transformations of Markov Point Processes . . . . . . . . . . . . . . . 281--281 Markus Kiderlen Blaschke Section Means of Stationary Random Sets and Particle Processes . . . 281--282 Kiên Kiêu Precision of Systematic Sampling of Spatial Structures . . . . . . . . . . . 282--283 Jorge Mateu and Francisco Montes A Comparative Study of Simulation Methods for Marked Gibbs Processes . . . 283--284 T. Mattfeldt Scale and First-Order Effects in the Deterministic Analysis of Stationary Isotropic Volume Processes . . . . . . . 284--284 Joseph Mecke On Moments of Anisotropic Poisson Polygons . . . . . . . . . . . . . . . . 285--285 Roger E. Miles A Large Class of Random Tessellations with the Classic Poisson Polygon Distributions . . . . . . . . . . . . . 285--285 Ilya Molchanov and Sergei Zuyev Variational Analysis of Functionals of a Poisson Process . . . . . . . . . . . . 286--286 Werner Nagel and Viola Weiss Interdependence of Directional Quantities of Planar Tessellations . . . 286--287 Jòrgen Nielsen The Distribution of Volume Reduction Induced by Isotropic Projections . . . . 287--288 Joachim Ohser and Martin Nippe On Stereological Estimation of Particle Size Distributions . . . . . . . . . . . 288--288 Jan Rataj Determination of Spherical Area Measures by Means of Dilation Volumes . . . . . . 289--289 Konrad Sandau Estimating Parameters of Point Process Models Using the $f$L-Function . . . . . 289--290 Katja Schladitz and Adrian J. Baddeley A Third Order Point Process Characteristic . . . . . . . . . . . . . 290--290 A. Simó and E. De Ves Markov Models in Image Analysis. An Ophthalmic Application . . . . . . . . . 290--291 M. Tanemura and E. B. Vedel Jensen and J. Mòller Random Tessellation Network and Some Inference Problems . . . . . . . . . . . 291--292 Wolfgang Weil Integral Formulas for Support Functions and Their Use in the Analysis of Boolean Models . . . . . . . . . . . . . . . . . 292--293 Helen Wilson and Peter Diggle and C. Vyvyan Howard Methods for the Analysis of Replicated Spatial Point Patterns in Clinical Neuro-Anatomy . . . . . . . . . . . . . 293--294 H. Bräker and T. Hsing and N. H. Bingham On the Hausdorff Distance between a Convex Set and an Interior Random Convex Hull . . . . . . . . . . . . . . . . . . 295--316 Wilfrid S. Kendall A Diffusion Model for Bookstein Triangle Shape . . . . . . . . . . . . . . . . . 317--334 Marius Stoka On a Random Variable Related to a System of Convex Bodies in the Euclidean Space $ E_n $ . . . . . . . . . . . . . . . . 335--341 Howard M. Taylor and Dennis E. Sweitzer On the Current Enhancement at the Edge of a Crack in a Lattice of Resistors . . 342--364 Yiqiang Q. Zhao and Wei Li and W. John Braun Infinite Block-Structured Transition Matrices and Their Properties . . . . . 365--384 Servet Martinez and Pierre Picco and Jaime San Martín Domain of Attraction of Quasi-Stationary Distributions for the Brownian Motion with Drift . . . . . . . . . . . . . . . 385--408 O. E. Barndorff-Nielsen and A. E. Koudou Trees with Random Conductivities and the (Reciprocal) Inverse Gaussian Distribution . . . . . . . . . . . . . . 409--424 Mohamed Ben Alaya and Gilles Pag\`es Rate of Convergence for Computing Expectations of Stopping Functionals of an $ \alpha $-Mixing Process . . . . . . 425--448 A. D. Barbour and Sergey Utev Solving the Stein Equation in Compound Poisson Approximation . . . . . . . . . 449--475 Tuhao Chen Optimal Lower Bounds for Bivariate Probabilities . . . . . . . . . . . . . 476--492 M. Möhle A Convergence Theorem for Markov Chains Arising in Population Genetics and the Coalescent with Selfing . . . . . . . . 493--512 M. Möhle Coalescent Results for Two-Sex Population Models . . . . . . . . . . . 513--520 Raphaël Cerf Asymptotic Convergence of Genetic Algorithms . . . . . . . . . . . . . . . 521--550 Rajendran Rajan and Rajeev Agrawal Concavity of Queueing Systems with NBU Service Times . . . . . . . . . . . . . 551--567 Sem Borst and Debasis Mitra Asymptotically Achievable Performance in ATM Networks . . . . . . . . . . . . . . 568--585 R. D. Van Der Mei and H. Levy Expected Delay Analysis of Polling Systems in Heavy Traffic . . . . . . . . 586--602 Anonymous Back Matter . . . . . . . . . . . . . . ??
Lothar Heinrich Contact and Chord Length Distribution of a Stationary Voronoi Tessellation . . . 603--618 Gérard Letac and Marco Scarsini Random Nested Tetrahedra . . . . . . . . 619--627 Mathew D. Penrose Extremes for the Minimal Spanning Tree on Normally Distributed Points . . . . . 628--639 Katy Paroux Quelques théor\`emes centraux limites pour les processus poissoniens de droites dans le plan. (French) [Some central limit theorems for Poissonian processes of lines in the plane] . . . . 640--656 Zeng-Hu Li Immigration Processes Associated with Branching Particle Systems . . . . . . . 657--675 Xi-Ren Cao The Maclaurin Series for Performance Functions of Markov Chains . . . . . . . 676--692 Krishna B. Athreya and Hye-Jeong Kang Some Limit Theorems for Positive Recurrent Branching Markov Chains: I . . 693--710 Krishna B. Athreya and Hye-Jeong Kang Some Limit Theorems for Positive Recurrent Branching Markov Chains: II 711--722 Eike Born A Point Process Model with Stochastic Intensities for a Branching Population of Two Dependent Types . . . . . . . . . 723--739 Anthony G. Pakes A Limit Theorem for the Maxima of the Para-Critical Simple Branching Process 740--756 Artur Lopes and Sílvia Lopes Parametric Estimation and Spectral Analysis of Piecewise Linear Maps of the Interval . . . . . . . . . . . . . . . . 757--776 Dmitrii S. Silvestrov and Jozef L. Teugels Limit Theorems for Extremes with Random Sample Size . . . . . . . . . . . . . . 777--806 Rebecca A. Betensky A Boundary Crossing Probability for the Bessel Process . . . . . . . . . . . . . 807--830 Wolfgang Stadje Asymptotic Probabilities in a Sequential Urn Scheme Related to the Matchbox Problem . . . . . . . . . . . . . . . . 831--849 Michel Bena\"\im and Jean-Claude Fort and Gilles Pag\`es Convergence of the One-Dimensional Kohonen Algorithm . . . . . . . . . . . 850--869 D. Fakinos and A. Economou Overall Station Balance and Decomposability for Non-Markovian Queueing Networks . . . . . . . . . . . 870--887 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Ximo Gual Arnau and Luis M. Cruz-Orive Variance Prediction under Systematic Sampling with Geometric Probes . . . . . 889--903 Ute Hahn and Dietrich Stoyan Unbiased Stereological Estimation of the Surface Area of Gradient Surface Processes . . . . . . . . . . . . . . . 904--920 J. Mecke Inequalities for Mixed Stationary Poisson Hyperplane Tessellations . . . . 921--928 Anish Sarkar Finite Clusters in High Density Boolean Models with Balls of Varying Sizes . . . 929--947 C. Jacob and J. Peccoud Estimation of the Parameters of a Branching Process from Migrating Binomial Observations . . . . . . . . . 948--967 P. H. Baxendale and R. Z. Khasminskii Stability Index for Products of Random Transformations . . . . . . . . . . . . 968--988 O. E. Barndorff-Nielsen and J. L. Jensen and M. Sòrensen Some Stationary Processes in Discrete and Continuous Time . . . . . . . . . . 989--1007 Harri Nyrhinen Rough Descriptions of Ruin for a General Class of Surplus Processes . . . . . . . 1008--1026 Philippe Picard A Semi-Hybrid Model for Malaria with Limited Superinfection . . . . . . . . . 1027--1057 Nozer D. Singpurwalla and Simon P. Wilson Failure Models Indexed by Two Scales . . 1058--1072 Wei Li and W. John Braun and Yiqiang Q. Zhao Stochastic Scheduling on a Repairable Machine with Erlang Uptime Distribution 1073--1088 Günter Last and Ryszard Szekli Asymptotic and Monotonicity Properties of Some Repairable Systems . . . . . . . 1089--1110 Hideaki Yamashita and Masakiyo Miyazawa Geometric Product Form Queueing Networks with Concurrent Batch Movements . . . . 1111--1129 Noah Gans and Garrett Van Ryzin Optimal Dynamic Scheduling of a General Class of Parallel-Processing Queueing Systems . . . . . . . . . . . . . . . . 1130--1156 Anonymous Volume Information . . . . . . . . . . . 1157--1160 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Francis K. C. Chen and Richard Cowan Invariant Distributions for Shapes in Sequences of Randomly-Divided Rectangles 1--14 Martin B. Hansen and Adrian J. Baddeley and Richard D. Gill First Contact Distributions for Spatial Patterns: Regularity and Estimation . . 15--33 Irene Hueter The Convex Hull of Samples from Self-Similar Distributions . . . . . . . 34--47 Kiên Kiêu and Marianne Mora Estimating the Reduced Moments of a Random Measure . . . . . . . . . . . . . 48--62 Rolf Schneider A Duality for Poisson Flats . . . . . . 63--68 Elke Thönnes Perfect Simulation of Some Point Processes for the Impatient User . . . . 69--87 Klaus Fleischmann and Vladimir A. Vatutin Reduced Subcritical Galton--Watson Processes in a Random Environment . . . 88--111 Jostein Paulsen and Arne Hove Markov Chain Monte Carlo Simulation of the Distribution of Some Perpetuities 112--134 Jinwoo Choe and Ness B. Shroff On the Supremum Distribution of Integrated Stationary Gaussian Processes with Negative Linear Drift . . . . . . . 135--157 Vladimir Piterbarg and Igor Rychlik Central Limit Theorem for Wave-Functionals of Gaussian Processes 158--177 Frans A. Boshuizen and Robert P. Kertz Smallest-Fit Selection of Random Sizes under a Sum Constraint: Weak Convergence and Moment Comparisons . . . . . . . . . 178--198 J. M. C. Clark and V. Katsouros Stably Coalescent Stochastic Froths . . 199--219 Mikael Andersson The Asymptotic Final Size Distribution of Multitype Chain-Binomial Epidemic Processes . . . . . . . . . . . . . . . 220--234 Tomasz Rolski and Sabine Schlegel and Volker Schmidt Asymptotics of Palm-Stationary Buffer Content Distributions in Fluid Flow Queues . . . . . . . . . . . . . . . . . 235--253 Cheng-Shang Chang and David D. Yao and Tim Zajic Large Deviations, Moderate Deviations, and Queues with Long-Range Dependent Input . . . . . . . . . . . . . . . . . 254--278 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Y. C. Chin and A. J. Baddeley On Connected Component Markov Point Processes . . . . . . . . . . . . . . . 279--282 Lothar Heinrich and Ilya S. Molchanov Central Limit Theorem for a Class of Random Measures Associated with Germ-Grain Models . . . . . . . . . . . 283--314 W. S. Kendall and M. N. M. Van Lieshout and A. J. Baddeley Quermass-Interaction Processes: Conditions for Stability . . . . . . . . 315--342 A. M. Mathai Random $p$-Content of a $p$-Parallelotope in Euclidean $n$-Space 343--354 Sergei Zuyev Stopping Sets: Gamma-Type Results and Hitting Properties . . . . . . . . . . . 355--366 Robert M. Burton and David C. Plaehn One-Dimensional Kohonen Maps Are Super-Stable with Exponential Rate . . . 367--393 Predrag R. Jelenkovi\'c and Aurel A. Lazar Asymptotic Results for Multiplexing Subexponential On-off Processes . . . . 394--421 Sòren Asmussen and Hanspeter Schmidli and Volker Schmidt Tail Probabilities for Non-Standard Risk and Queueing Processes with Subexponential Jumps . . . . . . . . . . 422--447 Hsien-Kuei Hwang Asymptotics of Poisson Approximation to Random Discrete Distributions: An Analytic Approach . . . . . . . . . . . 448--491 Jose A. Adell and Ana Perez-Palomares Stochastic Orders in Preservation Properties by Bernstein-Type Operators 492--509 I-Ping Tu and David Siegmund The Maximum of a Function of a Markov Chain and Application to Linkage Analysis . . . . . . . . . . . . . . . . 510--531 Claude Lef\`evre and Philippe Picard Abel-Gontcharoff Pseudopolynomials and the Exact Final Outcome of SIR Epidemic Models (III) . . . . . . . . . . . . . . 532--550 Sid Browne Reaching Goals by a Deadline: Digital Options and Continuous-Time Active Portfolio Management . . . . . . . . . . 551--577 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. Cao The Size of the Connected Components of Excursion Sets of $ \chi^2 $, $t$ and $F$ Fields . . . . . . . . . . . . . . . 579--595 T. K. Chalker and A. P. Godbole and P. Hitczenko and J. Radcliff and O. G. Ruehr On the Size of a Random Sphere of Influence Graph . . . . . . . . . . . . 596--609 D. J. Daley and H. Stoyan and D. Stoyan The Volume Fraction of a Poisson Germ Model with Maximally Non-Overlapping Spherical Grains . . . . . . . . . . . . 610--624 Tilmann Gneiting Isotropic Correlation Functions on $d$-Dimensional Balls . . . . . . . . . 625--631 K. McGivney and J. E. Yukich Asymptotics for Geometric Location Problems over Random Samples . . . . . . 632--642 David Vere-Jones On the Fractal Dimensions of Point Patterns . . . . . . . . . . . . . . . . 643--663 Viola Weiss and Werner Nagel Interdependences of Directional Quantities of Planar Tessellations . . . 664--678 Konstantin E. Avrachenkov and Jean B. Lasserre The Fundamental Matrix of Singularly Perturbed Markov Chains . . . . . . . . 679--697 Miklós Csörg\Ho and Hao Yu Weak Approximations for Empirical Lorenz Curves and Their Goldie Inverses of Stationary Observations . . . . . . . . 698--719 Hans Garmo Asymptotic Properties of the Connectivity Number of Random Railways 720--741 Philippe Picard and Claude Lef\`evre On the Algebraic Structure in Markovian Processes of Death and Epidemic Types 742--757 B. Beck and A. R. Dabrowski and D. R. McDonald A Unified Approach to Fast Teller Queues and ATM . . . . . . . . . . . . . . . . 758--787 W\ladys\law Szczotka Tightness of the Stationary Waiting Time in Heavy Traffic . . . . . . . . . . . . 788--794 Murat Alanyali Three Management Policies for a Resource with Partition Constraints . . . . . . . 795--818 D. Crisan and P. Del Moral and T. J. Lyons Interacting Particle Systems Approximations of the Kushner-Stratonovitch Equation . . . . . 819--838 Aidan Sudbury Hunting Submartingales in the Jumping Voter Model and the Biased Annihilating Branching Process . . . . . . . . . . . 839--854 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Kalle Åström and Anders Heyden Stochastic Analysis of Image Acquisition, Interpolation and Scale-Space Smoothing . . . . . . . . . 855--894 Etienne Bertin and Jean-Michel Billiot and Remy Drouilhet Existence of `Nearest-Neighbour' Spatial Gibbs Models . . . . . . . . . . . . . . 895--909 Bartlomiej Blaszczyszyn and Christian Rau and Volker Schmidt Bounds for Clump Size Characteristics in the Boolean Model . . . . . . . . . . . 910--928 Anders Brix Generalized Gamma Measures and Shot-Noise Cox Processes . . . . . . . . 929--953 Richard Cowan and Francis K. C. Chen Four Interesting Problems concerning Markovian Shape Sequences . . . . . . . 954--968 Sungchul Lee The Central Limit Theorem for Euclidean Minimal Spanning Trees II . . . . . . . 969--984 Jòrgen Nielsen The Distribution of Volume Reductions Induced by Isotropic Random Projections 985--994 Katja Schladitz Surprising Optimal Estimators for the Area Fraction . . . . . . . . . . . . . 995--1001 Joseph T. Chang Recent Common Ancestors of All Present-Day Individuals . . . . . . . . 1002--1026 Peter Donnelly and Carsten Wiuf and Jotun Hein and Montgomery Slatkin and W. J. Ewens and J. F. C. Kingman Discussion: Recent Common Ancestors of All Present-Day Individuals . . . . . . 1027--1035 Joseph T. Chang Reply to Discussants: Recent Common Ancestors of All Present-Day Individuals 1036--1038 J. M. Angulo and M. D. Ruiz-Medina Multi-Resolution Approximation to the Stochastic Inverse Problem . . . . . . . 1039--1057 Jean-Luc Prigent Incomplete Markets: Convergence of Options Values under the Minimal Martingale Measure . . . . . . . . . . . 1058--1077 Bruno Bassan and Fabio Spizzichino Stochastic Comparisons for Residual Lifetimes and Bayesian Notions of Multivariate Ageing . . . . . . . . . . 1078--1094 Hyun-Soo Ahn and Izak Duenyas and Rachel Q. Zhang Optimal Stochastic Scheduling of a Two-Stage Tandem Queue with Parallel Servers . . . . . . . . . . . . . . . . 1095--1117 Duan-Shin Lee On the Optimality and the Asymptotic Optimality of the Smallest Weighted Available Buffer Policy . . . . . . . . 1118--1150 Anonymous Volume Information . . . . . . . . . . . 1151--1154 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
F. Baccelli and K. Tchoumatchenko and S. Zuyev Markov Paths on the Poisson--Delaunay Graph with Applications to Routeing in Mobile Networks . . . . . . . . . . . . 1--18 A. D. Barbour and Marianne Månsson Compound Poisson Approximation and the Clustering of Random Points . . . . . . 19--38 Olle Häggström Markov Random Fields and Percolation on General Graphs . . . . . . . . . . . . . 39--66 Andrew Hayen and Malcolm Quine The Proportion of Triangles in a Poisson--Voronoi Tessellation of the Plane . . . . . . . . . . . . . . . . . 67--74 S. Rao Jammalamadaka and Mathew D. Penrose Poisson Limits for Pairwise and Area Interaction Point Processes . . . . . . 75--85 Wilfrid S. Kendall Stationary Countable Dense Random Sets 86--100 Huiling Le and Alfred Kume The Fréchet Mean Shape and the Shape of the Means . . . . . . . . . . . . . . . 101--113 Katja Schladitz Estimation of the Intensity of Stationary Flat Processes . . . . . . . 114--139 Seiji Hiraba Jump-Type Fleming--Viot Processes . . . 140--158 Markus Bachmann Limit Theorems for the Minimal Position in a Branching Random Walk with Independent Logconcave Displacements . . 159--176 K. S. Chong and Richard Cowan and Lars Holst The Ruin Problem and Cover Times of Asymmetric Random Walks and Brownian Motions . . . . . . . . . . . . . . . . 177--192 François Baccelli and Dohy Hong Analyticity of Iterates of Random Non-Expansive Maps . . . . . . . . . . . 193--220 A. P. Zwart A Fluid Queue with a Finite Buffer and Subexponential Input . . . . . . . . . . 221--243 V. Dumas and A. Simonian Asymptotic Bounds for the Fluid Queue Fed by Sub-Exponential On/Off Sources 244--255 Charles Knessl Exact and Asymptotic Solutions to a PDE That Arises in Time-Dependent Queues . . 256--283 Xiuli Chao and Masakiyo Miyazawa Queueing Networks with Instantaneous Movements: A Unified Approach by Quasi-Reversibility . . . . . . . . . . 284--313 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Noel Cressie and Andrew B. Lawson Hierarchical Probability Models and Bayesian Analysis of Mine Locations . . 315--330 Peter J. Diggle and Jorge Mateu and Helen E. Clough A Comparison between Parametric and Non-Parametric Approaches to the Analysis of Replicated Spatial Point Patterns . . . . . . . . . . . . . . . . 331--343 Asger Hobolth and Eva B. Vedel Jensen Modelling Stochastic Changes in Curve Shape, with an Application to Cancer Diagnostics . . . . . . . . . . . . . . 344--362 Marie-Ange Remiche Asymptotic Independence of Counts in Isotropic Planar Point Processes of Phase-Type . . . . . . . . . . . . . . . 363--375 Sòren Asmussen and Offer Kella A Multi-Dimensional Martingale for Markov Additive Processes and Its Applications . . . . . . . . . . . . . . 376--393 J.-F. Yao and J.-G. Attali On Stability of Nonlinear AR Processes with Markov Switching . . . . . . . . . 394--407 F. Champagnat and J. Idier On the Correlation Structure of Unilateral AR Processes on the Plane . . 408--425 Karl Sigman and Reade Ryan Continuous-Time Monotone Stochastic Recursions and Duality . . . . . . . . . 426--445 Christiane Cocozza-Thivent and Michel Roussignol A General Framework for Some Asymptotic Reliability Formulas . . . . . . . . . . 446--467 Marcel F. Neuts and Rafael Pérez-Ocón and Inmaculada Torres-Castro Repairable Models with Operating and Repair Times Governed by Phase Type Distributions . . . . . . . . . . . . . 468--479 G. Yin Convergence of a Global Stochastic Optimization Algorithm with Partial Step Size Restarting . . . . . . . . . . . . 480--498 Jens Ledet Jensen and Anne-Mette Krabbe Pedersen Probabilistic Models of DNA Sequence Evolution with Context Dependent Rates of Substitution . . . . . . . . . . . . 499--517 David Assaf and Yuliy Baryshnikov and Wolfgang Stadje Optimal Strategies in a Risk Selection Investment Model . . . . . . . . . . . . 518--539 Paul Glasserman and Hui Wang Discretization of Deflated Bond Prices 540--563 A. A. Puhalskii and M. I. Reiman The Multiclass GI/PH/N Queue in the Halfin--Whitt Regime . . . . . . . . . . 564--595 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Y. C. Chin and A. J. Baddeley Markov Interacting Component Processes 597--619 S. N. Chiu and C. C. Yin The Time of Completion of a Linear Birth-Growth Model . . . . . . . . . . . 620--627 Ximo Gual-Arnau and Luis M. Cruz-Orive Systematic Sampling on the Circle and on the Sphere . . . . . . . . . . . . . . . 628--647 Yukinao Isokawa Poisson--Voronoi Tessellations in Three-Dimensional Hyperbolic Spaces . . 648--662 Alfred Kume and Huiling Le Estimating Fréchet Means in Bookstein's Shape Space . . . . . . . . . . . . . . 663--674 Bruno Massé On the LLN for the Number of Vertices of a Random Convex Hull . . . . . . . . . . 675--681 Jeffrey D. Picka Variance Reducing Modifications for Estimators of Standardized Moments of Random Sets . . . . . . . . . . . . . . 682--700 Andrew D. Barbour and Andrea Pugliese On the Variance-to-Mean Ratio in Models of Parasite Distributions . . . . . . . 701--719 Dimitris Gatzouras On the Lattice Case of an Almost-Sure Renewal Theorem for Branching Random Walks . . . . . . . . . . . . . . . . . 720--737 Yung-Pin Chen Which Design Is Better? Ehrenfest Urn versus Biased Coin . . . . . . . . . . . 738--749 Philippe Flajolet and Fabrice Guillemin The Formal Theory of Birth-and-Death Processes, Lattice Path Combinatorics and Continued Fractions . . . . . . . . 750--778 Ole E. Barndorff-Nielsen and Fred Espen Benth and Jens Ledet Jensen Markov Jump Processes with a Singularity 779--799 Y. Feng and B. Xiao Revenue Management with Two Market Segments and Reserved Capacity for Priority Customers . . . . . . . . . . . 800--823 Balaji Prabhakar and Nicholas Bambos and T. S. Mountford The Synchronization of Poisson Processes and Queueing Networks with Service and Synchronization Nodes . . . . . . . . . 824--843 Wilfrid S. Kendall and Jesper Mòller Perfect Simulation Using Dominating Processes on Ordered Spaces, with Application to Locally Stable Point Processes . . . . . . . . . . . . . . . 844--865 S. Chadjiconstantinidis and D. L. Antzoulakos and M. V. Koutras Joint Distributions of Successes, Failures and Patterns in Enumeration Problems . . . . . . . . . . . . . . . . 866--884 Vsevolod K. Malinovskii Probabilities of Ruin When the Safety Loading Tends to Zero . . . . . . . . . 885--923 Anonymous Back Matter . . . . . . . . . . . . . . 924--924 Anonymous Front Matter . . . . . . . . . . . . . . ??
John E. Hutchinson and Ludger Rüschendorf Random Fractals and Probability Metrics 925--947 R. Senoussi and J. Chadoeuf and D. Allard Weak Homogenization of Point Processes by Space Deformations . . . . . . . . . 948--959 Tilmann Gneiting Addendum to 'Isotropic Correlation Functions on $d$-Dimensional Balls' . . 960--961 C. N. Laws and Y. C. Teh Alternative Routeing in Fully Connected Queueing Networks . . . . . . . . . . . 962--982 M. Möhle Total Variation Distances and Rates of Convergence for Ancestral Coalescent Processes in Exchangeable Population Models . . . . . . . . . . . . . . . . . 983--993 Michel Denuit and Claude Lef\`evre and Moshe Shaked On $s$-Convex Approximations . . . . . . 994--1010 Jaap L. Geluk and Liang Peng and Casper G. De Vries Convolutions of Heavy-Tailed Random Variables and Applications to Portfolio Diversification and MA(1) Time Series 1011--1026 M. P. Quine and W. Szczotka A General Linear Birth and Growth Model 1027--1050 D. J. Daley and T. Rolski and Rein Vesilo Long-Range Dependent Point Processes and Their Palm--Khinchin Distributions . . . 1051--1063 F. Javier López and Servet Martínez and Gerardo Sanz Stochastic Domination and Markovian Couplings . . . . . . . . . . . . . . . 1064--1076 J. M. Angulo and M. D. Ruiz-Medina and V. V. Anh and W. Grecksch Fractional Diffusion and Fractional Heat Equation . . . . . . . . . . . . . . . . 1077--1099 Anthony G. Pakes The Number and Sum of Near-Maxima for Thin-Tailed Populations . . . . . . . . 1100--1116 R. A. Doney and R. A. Maller Random Walks Crossing Curved Boundaries: A Functional Limit Theorem, Stability and Asymptotic Distributions for Exit Times and Positions . . . . . . . . . . 1117--1149 Michel Mandjes and Sem Borst Overflow Behavior in Queues with Many Long-Tailed Inputs . . . . . . . . . . . 1150--1167 Nikolay Likhanov and Ravi R. Mazumdar Loss Asymptotics in Large Buffers Fed by Heterogeneous Long-Tailed Sources . . . 1168--1189 Dominique Jeulin Obituary: Georges Matheron . . . . . . . 1190--1192 Anonymous Volume Information . . . . . . . . . . . 1193--1197 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
A. D. Barbour and V. Schmidt On Laslett's Transform for the Boolean Model . . . . . . . . . . . . . . . . . 1--5 Markus Kiderlen Non-Parametric Estimation of the Directional Distribution of Stationary Line and Fibre Processes . . . . . . . . 6--24 Rolf Schneider On the Mean Normal Measures of a Particle Process . . . . . . . . . . . . 25--38 Wolfgang Weil Densities of Mixed Volumes for Boolean Models . . . . . . . . . . . . . . . . . 39--60 David Perry and Wolfgang Stadje Disasters in a Markovian Inventory System for Perishable Items . . . . . . 61--75 José Niño-Mora Restless Bandits, Partial Conservation Laws and Indexability . . . . . . . . . 76--98 Frank Ball and Owen D. Lyne Stochastic Multitype SIR Epidemics among a Population Partitioned into Households 99--123 A. Khorunzhy Sparse Random Matrices: Spectral Edge and Statistics of Rooted Trees . . . . . 124--140 Robert Illsley The Excursions of a Stationary Gaussian Process outside a Large Two-Dimensional Region . . . . . . . . . . . . . . . . . 141--159 Ole E. Barndorff-Nielsen and Jan Pedersen and Ken-Iti Sato Multivariate Subordination, Self-Decomposability and Stability . . . 160--187 Servet Martínez and Bernard Ycart Decay Rates and Cutoff for Convergence and Hitting Times of Markov Chains with Countably Infinite State Space . . . . . 188--205 Xiaoyue Jiang and Viliam Makis and Andrew K. S. Jardine Optimal Repair/Replacement Policy for a General Repair Model . . . . . . . . . . 206--222 Daniel Dufresne The Integral of Geometric Brownian Motion . . . . . . . . . . . . . . . . . 223--241 F. Mendivil and R. Shonkwiler and M. C. Spruill Restarting Search Algorithms with Applications to Simulated Annealing . . 242--259 Michel Mandjes and Jeong-Han Kim Analysis of a Phase Transition Phenomenon in Packet Networks . . . . . 260--280 Hailiang Yang and Lianzeng Zhang Spectrally Negative Lévy Processes with Applications in Risk Theory . . . . . . 281--291 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
François Baccelli and Bartlomiej Blaszczyszyn On a Coverage Process Ranging from the Boolean Model to the Poisson--Voronoi Tessellation with Applications to Wireless Communications . . . . . . . . 293--323 Huiling Le Locating Fréchet Means with Application to Shape Spaces . . . . . . . . . . . . 324--338 M. N. M. Van Lieshout and E. W. Van Zwet Exact Sampling from Conditional Boolean Models with Applications to Maximum Likelihood Inference . . . . . . . . . . 339--353 Richard A. Vitale Intrinsic Volumes and Gaussian Processes 354--364 R. T. Dunn and K. D. Glazebrook The Performance of Index-Based Policies for Bandit Problems with Stochastic Machine Availability . . . . . . . . . . 365--390 Didier Piau Processus de Branchement en Champ Moyen et Réaction PCR. (French) [Branching processes in mean field and the PCR reaction] . . . . . . . . . . . . . . . 391--403 Hui Wang Some Control Problems with Random Intervention Times . . . . . . . . . . . 404--422 Laura M. Morato and Paola Siri A Stochastic Algorithm to Compute Optimal Probabilities in the Chaos Game 423--436 József Bukszár Upper Bounds for the Probability of a Union by Multitrees . . . . . . . . . . 437--452 E. Di Nardo and A. G. Nobile and E. Pirozzi and L. M. Ricciardi A Computational Approach to First-Passage-Time Problems for Gauss--Markov Processes . . . . . . . . 453--482 Pieter Allaart and Michael Monticino Optimal Stopping Rules for Directionally Reinforced Processes . . . . . . . . . . 483--504 James Ledoux and Laurent Truffet Markovian Bounds on Functions of Finite Markov Chains . . . . . . . . . . . . . 505--519 O. J. Boxma and I. A. Kurkova The M/G/1 Queue with Two Service Speeds 520--540 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Martin B. Hansen and Erik W. Van Zwet Nonparametric Estimation of the Chord Length Distribution . . . . . . . . . . 541--558 Salme Kärkkäinen and Antti Penttinen and Nikolai G. Ushakov and Alexandra P. Ushakova Estimation of Orientation Characteristic of Fibrous Material . . . . . . . . . . 559--575 Joseph Mecke and Dietrich Stoyan The Specific Connectivity Number of Random Networks . . . . . . . . . . . . 576--583 Eugene Spodarev On the Rose of Intersections of Stationary Flat Processes . . . . . . . 584--599 Prakash Gorroochurn Post-Data Inference of Coalescence Times and Segregating-Site Distribution in a Two-Island Model with Symmetric Migration . . . . . . . . . . . . . . . 600--616 Tilmann Gneiting and Zoltán Sasvári and Martin Schlather Analogies and Correspondences between Variograms and Covariance Functions . . 617--630 Filemon Ramirez-Perez and Robert Serfling Shot Noise on Cluster Processes with Cluster Marks, and Studies of Long Range Dependence . . . . . . . . . . . . . . . 631--651 Cheng-Der Fuh and Tze Leung Lai Asymptotic Expansions in Multidimensional Markov Renewal Theory and First Passage Times for Markov Random Walks . . . . . . . . . . . . . . 652--673 Gordon E. Willmot and Jun Cai and X. Sheldon Lin Lundberg Inequalities for Renewal Equations . . . . . . . . . . . . . . . 674--689 Antonio Di Crescenzo On Random Motions with Velocities Alternating at Erlang-Distributed Random Times . . . . . . . . . . . . . . . . . 690--701 Estate Khmaladze and Eka Shinjikashvili Calculation of Noncrossing Probabilities for Poisson Processes and Its Corollaries . . . . . . . . . . . . . . 702--716 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Amparo Baíllo and Antonio Cuevas On the Estimation of a Star-Shaped Set 717--726 A. D. Barbour and A. Xia The Number of Two-Dimensional Maxima . . 727--750 S. N. Chiu and M. P. Quine Central Limit Theorem for Germination-Growth Models in $ R^d $ with Non-Poisson Locations . . . . . . . 751--755 Estate Khmaladze and N. Toronjadze On the Almost Sure Coverage Property of Voronoi Tessellation: The $ R^1 $ Case 756--764 Tomás Mrkvicka Estimation Variances for Poisson Processes of Compact Sets . . . . . . . 765--772 Keith J. Worsley Testing for Signals with Unknown Location and Scale in a $ \chi^2 $ Random Field, with an Application to fMRI . . . . . . . . . . . . . . . . . . 773--793 Carl Chiarella and Sara Pasquali and Wolfgang J. Runggaldier On Filtering in Markovian Term Structure Models: An Approximation Approach . . . 794--809 Craig L. Zirbel Lagrangian Observations of Homogeneous Random Environments . . . . . . . . . . 810--835 Han S. Kim and Ness B. Shroff On the Asymptotic Relationship between the Overflow Probability and the Loss Ratio . . . . . . . . . . . . . . . . . 836--863 Raúl Gouet and F. Javier López and Miguel San Miguel A Martingale Approach to Strong Convergence of the Number of Records . . 864--873 Julien Barral Generalized Vector Multiplicative Cascades . . . . . . . . . . . . . . . . 874--895 K. V. Mitov and N. M. Yanev Limit Theorems for Alternating Renewal Processes in the Infinite Mean Case . . 896--911 M. Menshikov and V. Sidoravicius and M. Vachkovskaia A Note on Two-Dimensional Truncated Long-Range Percolation . . . . . . . . . 912--929 R. L. Paige Classification and Lumpability in the Stochastic Hopfield Model . . . . . . . 930--943 Anonymous Volume Information . . . . . . . . . . . 944--946 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Martin J. B. Appel and Christopher A. Najim and Ralph P. Russo Limit Laws for the Diameter of a Random Point Set . . . . . . . . . . . . . . . 1--10 Wilfried Gille The Set Covariance of a Dead Leaves Model . . . . . . . . . . . . . . . . . 11--20 Daniel Hug and Günter Last and Wolfgang Weil Generalized Contact Distributions of Inhomogeneous Boolean Models . . . . . . 21--47 Rahul Roy and Hideki Tanemura Critical Intensities of Boolean Models with Different Underlying Convex Shapes 48--57 Kavita Ramanan and Anirvan Sengupta and Ilze Ziedins and Partha Mitra Markov Random Field Models of Multicasting in Tree Networks . . . . . 58--84 Vincent Dumas and Fabrice Guillemin and Philippe Robert A Markovian Analysis of Additive-Increase Multiplicative-Decrease Algorithms . . . 85--111 Henrik Fagerholm and Göran Högnäs Stability Classification of a Ricker Model with Two Random Parameters . . . . 112--127 Ananda P. N. Weerasinghe Stationary Stochastic Control for Itô Processes . . . . . . . . . . . . . . . 128--140 Paul Dupuis and Hui Wang Optimal Stopping with Random Intervention Times . . . . . . . . . . . 141--157 Takis Konstantopoulos and Gregory S. Richardson Conditional Limit Theorems for Spectrally Positive Lévy Processes . . . 158--178 Alwin Stegeman Extremal Behavior of Heavy-Tailed ON-Periods in a Superposition of ON/OFF Processes . . . . . . . . . . . . . . . 179--204 P. Brémaud and L. Massoulié Power Spectra of General Shot Noises and Hawkes Point Processes with a Random Excitation . . . . . . . . . . . . . . . 205--222 A. D. Barbour and S. Y. Novak and A. Xia Compound Poisson Approximation for the Distribution of Extremes . . . . . . . . 223--240 Félix Belzunce and Eva-María Ortega and José M. Ruiz On Ageing Properties of First-Passage Times of Increasing Markov Processes . . 241--259 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Gabriele Bianchi Determining Convex Polygons from Their Covariograms . . . . . . . . . . . . . . 261--266 Anders Brix and Wilfrid S. Kendall Simulation of Cluster Point Processes without Edge Effects . . . . . . . . . . 267--280 A. Hayen and M. P. Quine Areas of Components of a Voronoi Polygon in a Homogeneous Poisson Process in the Plane . . . . . . . . . . . . . . . . . 281--291 M. V. Menshikov and K. A. Rybnikov and S. E. Volkov The Loss of Tension in an Infinite Membrane with Holes Distributed According to a Poisson Law . . . . . . . 292--312 Nicole Bäuerle Optimal Control of Queueing Networks: An Approach via Fluid Models . . . . . . . 313--328 Bin Liu and Attahiru Sule Alfa A Fluid Model with Data Message Discarding . . . . . . . . . . . . . . . 329--348 Michael V. Boutsikas and Eutichia Vaggelatou On the Distance between Convex-Ordered Random Variables, with Applications . . 349--374 Nadine Guillotin-Plantard Large Deviations for a Markov Chain in a Random Landscape . . . . . . . . . . . . 375--393 Edward Omey and Jef L. Teugels Weighted Renewal Functions: A Hierarchical Approach . . . . . . . . . 394--415 Ulrich Horst Asymptotics of Locally-Interacting Markov Chains with Global Signals . . . 416--440 Luc Devroye and Ralph Neininger Density Approximation and Exact Simulation of Random Variables That Are Solutions of Fixed-Point Equations . . . 441--468 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Ximo Gual-Arnau and Luis M. Cruz-Orive Variance Prediction for Pseudosystematic Sampling on the Sphere . . . . . . . . . 469--483 Asger Hobolth and Eva B. Vedel Jensen A Note on Design-Based versus Model-Based Variance Estimation in Stereology . . . . . . . . . . . . . . . 484--490 H. Ishii and T. Mikami A Two-Dimensional Random Crystalline Algorithm for Gauss Curvature Flow . . . 491--504 Markus Kiderlen Determination of the Mean Normal Measure from Isotropic Means of Flat Sections 505--519 Tomasz Schreiber Variance Asymptotics and Central Limit Theorems for Volumes of Unions of Random Closed Sets . . . . . . . . . . . . . . 520--539 Eckhard Platen Arbitrage in Continuous Complete Markets 540--558 Haiyan Huang Error Bounds on Multivariate Normal Approximations for Word Count Statistics 559--586 Henrik Hult and Filip Lindskog Multivariate Extremes, Aggregation and Dependence in Elliptical Distributions 587--608 N. Papadatos and V. Papathanasiou Poisson Approximation for a Sum of Dependent Indicators: An Alternative Approach . . . . . . . . . . . . . . . . 609--625 A. Gómez-Corral On a Tandem $G$-Network with Blocking 626--661 G. Yin and Hanqin Zhang Countable-State-Space Markov Chains with Two Time Scales and Applications to Queueing Systems . . . . . . . . . . . . 662--688 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Etienne Bertin and Jean-Michel Billiot and Rémy Drouilhet Continuum Percolation in the Gabriel Graph . . . . . . . . . . . . . . . . . 689--701 Pierre Calka The Distributions of the Smallest Disks Containing the Poisson--Voronoi Typical Cell and the Crofton Cell in the Plane 702--717 Marianne Månsson and Mats Rudemo Random Patterns of Nonoverlapping Convex Grains . . . . . . . . . . . . . . . . . 718--738 Mathew D. Penrose Focusing of the Scan Statistic and Geometric Clique Number . . . . . . . . 739--753 K. D. Glazebrook and J. Niño-Mora and P. S. Ansell Index Policies for a Class of Discounted Restless Bandits . . . . . . . . . . . . 754--774 Andrew L. Rukhin Distribution of the Number of Words with a Prescribed Frequency and Tests of Randomness . . . . . . . . . . . . . . . 775--797 Aleksander M. Iksanov and Zbigniew J. Jurek On Fixed Points of Poisson Shot Noise Transforms . . . . . . . . . . . . . . . 798--825 Subhash C. Kochar and Xiaohu Li and Moshe Shaked The Total Time on Test Transform and the Excess Wealth Stochastic Orders of Distributions . . . . . . . . . . . . . 826--845 Laurent Gauthier Excursions Height- and Length-Related Stopping Times, and Application to Finance . . . . . . . . . . . . . . . . 846--868 Axel Lehmann Smoothness of First Passage Time Distributions and a New Integral Equation for the First Passage Time Density of Continuous Markov Processes 869--887 Petteri Mannersalo and Ilkka Norros and Rudolf H. Riedi Multifractal Products of Stochastic Processes: Construction and Some Basic Properties . . . . . . . . . . . . . . . 888--903 T. Mylläri Limit Distributions for the Number of Leaves in a Random Forest . . . . . . . 904--922 Anonymous Volume Information . . . . . . . . . . . 923--925 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Eva B. Vedel Jensen Joseph Mecke: An Appreciation . . . . . 1--3 Paul G. Blackwell and Jesper Mòller Bayesian Analysis of Deformed Tessellation Models . . . . . . . . . . 4--26 Annoesjka Cabo and Adrian Baddeley Estimation of Mean Particle Volume Using the Set Covariance Function . . . . . . 27--46 S. N. Chiu and I. S. Molchanov A New Graph Related to the Directions of Nearest Neighbours in a Point Process 47--55 Richard Cowan and Malcolm Quine and Sergei Zuyev Decomposition of Gamma-Distributed Domains Constructed from Poisson Point Processes . . . . . . . . . . . . . . . 56--69 Daniel Hug and Günter Last and Wolfgang Weil Distance Measurements on Processes of Flats . . . . . . . . . . . . . . . . . 70--95 W. S. Kendall and R. G. Wilson Ising Models and Multiresolution Quad-Trees . . . . . . . . . . . . . . . 96--122 Werner Nagel and Viola Weiss Limits of Sequences of Stationary Planar Tessellations . . . . . . . . . . . . . 123--138 Rolf Schneider Nonstationary Poisson Hyperplanes and Their Induced Tessellations . . . . . . 139--158 Michael Schröder On the Integral of Geometric Brownian Motion . . . . . . . . . . . . . . . . . 159--183 Hiroyuki Matsumoto and Marc Yor On Dufresne's Relation between the Probability Laws of Exponential Functionals of Brownian Motions with Different Drifts . . . . . . . . . . . . 184--206 Daming Lin and Viliam Makis Recursive Filters for a Partially Observable System Subject to Random Failure . . . . . . . . . . . . . . . . 207--227 V. Cekanavicius and Y. H. Wang Compound Poisson Approximations for Sums of Discrete Nonlattice Variables . . . . 228--250 B. M. Hambly and O. D. Jones Thick and Thin Points for Random Recursive Fractals . . . . . . . . . . . 251--277 F. Thomas Bruss and Guy Louchard and John W. Turner On the $N$-Tower Problem and Related Problems . . . . . . . . . . . . . . . . 278--294 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Stephan Böhm and Volker Schmidt Palm Representation and Approximation of the Covariance of Random Closed Sets . . 295--302 Maria Deijfen Asymptotic Shape in a Continuum Growth Model . . . . . . . . . . . . . . . . . 303--318 Ute Hahn and Eva B. Vedel Jensen and Marie-Colette Van Lieshout and Linda Stougaard Nielsen Inhomogeneous Spatial Point Processes by Location-Dependent Scaling . . . . . . . 319--336 Roland Maier and Volker Schmidt Stationary Iterated Tessellations . . . 337--353 Julien Michel and Katy Paroux Local Convergence of the Boolean Shell Model Towards the Thick Poisson Hyperplane Process in the Euclidean Space . . . . . . . . . . . . . . . . . 354--361 Anonymous Correction: Exact Sampling from Conditional Boolean Models with Applications to Maximum Likelihood Inference . . . . . . . . . . . . . . . 362--362 F. M. Dekking and L. E. Meester An Almost Sure Result for Path Lengths in Binary Search Trees . . . . . . . . . 363--376 Amke Caliebe Symmetric Fixed Points of a Smoothing Transformation . . . . . . . . . . . . . 377--394 A. Gefferth and D. Veitch and I. Maricza and S. Molnár and I. Ruzsa The Nature of Discrete Second-Order Self-Similarity . . . . . . . . . . . . 395--416 R. A. Doney and P. S. Griffin Overshoots over Curved Boundaries . . . 417--448 G. Yin and Q. Zhang and G. Badowski Discrete-Time Singularly Perturbed Markov Chains: Aggregation, Occupation Measures, and Switching Diffusion Limit 449--476 Thierry Huillet Energy Cascades as Branching Processes with Emphasis on Neveu's Approach to Derrida's Random Energy Model . . . . . 477--503 S. G. Kou and Hui Wang First Passage Times of a Jump Diffusion Process . . . . . . . . . . . . . . . . 504--531 Håkon K. Gjessing and Odd O. Aalen and Nils Lid Hjort Frailty Models Based on Lévy Processes 532--550 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Pierre Calka Precise Formulae for the Distributions of the Principal Geometric Characteristics of the Typical Cells of a Two-Dimensional Poisson--Voronoi Tessellation and a Poisson Line Process 551--562 Thierry Huillet Random Covering of the Circle: The Size of the Connected Components . . . . . . 563--582 Markus Kiderlen and Eva B. Vedel Jensen Estimation of the Directional Measure of Planar Random Sets by Digitization . . . 583--602 Karsten Koch and Joachim Ohser and Katja Schladitz Spectral Theory for Random Closed Sets and Estimating the Covariance via Frequency Space . . . . . . . . . . . . 603--613 Jesper Mòller Shot Noise Cox Processes . . . . . . . . 614--640 S. C. Kou and S. G. Kou Modeling Growth Stocks via Birth--Death Processes . . . . . . . . . . . . . . . 641--664 Hilde M. Wilkinson-Herbots Coalescence Times and $ F_{ST} $ Values in Subdivided Populations with Symmetric Structure . . . . . . . . . . . . . . . 665--690 Francesca Arrigoni Deterministic Approximation of a Stochastic Metapopulation Model . . . . 691--720 Philippe Naveau Almost Sure Relative Stability of the Maximum of a Stationary Sequence . . . . 721--736 Remigijus Leipus and Donatas Surgailis Random Coefficient Autoregression, Regime Switching and Long Memory . . . . 737--754 Thierry Duchesne and Jeffrey S. Rosenthal On the Collapsibility of Lifetime Regression Models . . . . . . . . . . . 755--772 Ronald W. Wolff and Chia-Li Wang Idle Period Approximations and Bounds for the GI/G/1 Queue . . . . . . . . . . 773--792 Sem Borst and Bert Zwart A Reduced-Peak Equivalence for Queues with a Mixture of Light-Tailed and Heavy-Tailed Input Flows . . . . . . . . 793--805 Sem Borst and Michel Mandjes and Miranda Van Uitert Generalized Processor Sharing Queues with Heterogeneous Traffic Classes . . . 806--845 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Bartlomiej Blaszczyszyn and René Schott Approximate Decomposition of Some Modulated-Poisson Voronoi Tessellations 847--862 Pierre Calka An Explicit Expression for the Distribution of the Number of Sides of the Typical Poisson--Voronoi Cell . . . 863--870 Marco Dall'Aglio and Marco Scarsini Zonoids, Linear Dependence, and Size-Biased Distributions on the Simplex 871--884 Alfred Kume and Huiling Le On Fréchet Means in Simplex Shape Spaces 885--897 Ilya Molchanov and Vadim Scherbakov Coverage of the Whole Space . . . . . . 898--912 Tomasz Schreiber Asymptotic Geometry of High-Density Smooth-Grained Boolean Models in Bounded Domains . . . . . . . . . . . . . . . . 913--936 Sandeep R. Shah A Note on Stochastic Domination and Conditional Thinning . . . . . . . . . . 937--940 Daniel Berend and Luba Sapir Between the Expert and Majority Rules 941--960 Ulrich Horst Stability of Linear Stochastic Difference Equations in Strategically Controlled Random Environments . . . . . 961--981 V. Cekanavicius Infinitely Divisible Approximations for Discrete Nonlattice Variables . . . . . 982--1006 J.-P. Raoult and R. Worms Rate of Convergence for the Generalized Pareto Approximation of the Excesses . . 1007--1027 Johan Segers Functionals of Clusters of Extremes . . 1028--1045 Bernd Heidergott and Arie Hordijk Taylor Series Expansions for Stationary Markov Chains . . . . . . . . . . . . . 1046--1070 Amaury Lambert Coalescence Times for the Branching Process . . . . . . . . . . . . . . . . 1071--1089 Hans-Otto Georgii and Ellen Baake Supercritical Multitype Branching Processes: The Ancestral Types of Typical Individuals . . . . . . . . . . 1090--1110 Andrew G. Hart and Servet Martínez and Jaime San Martín The $ \lambda $-Classification of Continuous-Time Birth-and-Death Processes . . . . . . . . . . . . . . . 1111--1130 Attahiru Sule Alfa Algorithmic Analysis of the BMAP/D/k System in Discrete Time . . . . . . . . 1131--1152 S. Leorato and E. Orsingher and M. Scavino An Alternating Motion with Stops and the Related Planar, Cyclic Motion with Four Directions . . . . . . . . . . . . . . . 1153--1168 Anonymous Volume Information . . . . . . . . . . . 1169--1172 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Siva Athreya and Rahul Roy and Anish Sarkar On the Coverage of Space by Random Sets 1--18 Abhay G. Bhatt and Rahul Roy On a Random Directed Spanning Tree . . . 19--42 Anuj Srivastava and Eric Klassen Bayesian and Geometric Subspace Tracking 43--56 A. Bobrowski Quasi-Stationary Distributions of a Pair of Markov Chains Related to Time Evolution of a DNA Locus . . . . . . . . 57--77 M. Möhle The Time Back to the Most Recent Common Ancestor in Exchangeable Population Models . . . . . . . . . . . . . . . . . 78--97 James U. Gleaton and James D. Lynch On the Distribution of the Breaking Strain of a Bundle of Brittle Elastic Fibers . . . . . . . . . . . . . . . . . 98--115 Yonit Barron and Esther Frostig and Benny Levikson Analysis of $R$-out-of-$N$ Repairable Systems: The Case of Phase-Type Distributions . . . . . . . . . . . . . 116--138 Hyun-Soo Ahn and Izak Duenyas and Rachel Q. Zhang Optimal Control of a Flexible Server . . 139--170 Céline Lacaux Series Representation and Simulation of Multifractional Lévy Motions . . . . . . 171--197 Assaf Zeevi and Peter W. Glynn Estimating Tail Decay for Stationary Sequences via Extreme Values . . . . . . 198--226 A. A. Borovkov and A. Hordijk Characterization and Sufficient Conditions for Normed Ergodicity of Markov Chains . . . . . . . . . . . . . 227--242 Sòren F. Jarner and Wai Kong Yuen Conductance Bounds on the $ L^2 $ Convergence Rate of Metropolis Algorithms on Unbounded State Spaces . . 243--266 Anyue Chen and Hanjun Zhang and Kai Liu and Keith Rennolls Birth--Death Processes with Disaster and Instantaneous Resurrection . . . . . . . 267--292 Nicholas Bambos and George Michailidis Queueing and Scheduling in Random Environments . . . . . . . . . . . . . . 293--317 Laura M. Morato and Paola Siri Addendum to 'A Stochastic Algorithm to Compute Optimal Probabilities in the Chaos Game': A New Convergence Criterion 318--323 Anonymous Correction: Countable-State-Space Markov Chains with Two Time Scales and Applications to Queueing Systems . . . . 324--324 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Codina Cotar and Stanislav Volkov A Note on the Lilypond Model . . . . . . 325--339 Antonio Cuevas and Alberto Rodríguez-Casal On Boundary Estimation . . . . . . . . . 340--354 Kalyan Chatterjee and Susan H. Xu Technology Diffusion by Learning from Neighbours . . . . . . . . . . . . . . . 355--376 Esther Frostig Upper Bounds on the Expected Time to Ruin and on the Expected Recovery Time 377--397 Stephen M. Samuels Why Do These Quite Different Best-Choice Problems Have the Same Solutions? . . . 398--416 Maria De Iorio and Robert C. Griffiths Importance Sampling on Coalescent Histories. I . . . . . . . . . . . . . . 417--433 Maria De Iorio and Robert C. Griffiths Importance Sampling on Coalescent Histories. II: Subdivided Population Models . . . . . . . . . . . . . . . . . 434--454 Jean-Bernard Gravereaux and James Ledoux Poisson Approximation for Some Point Processes in Reliability . . . . . . . . 455--470 Günter Last Ergodicity Properties of Stress Release, Repairable System and Workload Models 471--498 Anyue Chen and Eric Renshaw Markovian Bulk-Arriving Queues with State-Dependent Control at Idle Time . . 499--524 Fabrice Guillemin and Philippe Robert and Bert Zwart Tail Asymptotics for Processor-Sharing Queues . . . . . . . . . . . . . . . . . 525--543 J. D. Biggins and A. E. Kyprianou Measure Change in Multitype Branching 544--581 N. Lalam and C. Jacob Estimation of the Offspring Mean in a Supercritical or Near-Critical Size-Dependent Branching Process . . . . 582--601 N. Lalam and C. Jacob and P. Jagers Modelling the PCR Amplification Process by a Size-Dependent Branching Process and Estimation of the Efficiency . . . . 602--615 T. Sakurai Numerical Inversion for Laplace Transforms of Functions with Discontinuities . . . . . . . . . . . . 616--642 Gopal K. Basak and Kwok-Wah Remus Ho Level-Crossing Probabilities and First-Passage Times for Linear Processes 643--666 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Daniel Hug and Matthias Reitzner and Rolf Schneider Large Poisson--Voronoi Cells and Crofton Cells . . . . . . . . . . . . . . . . . 667--690 Mathew D. Penrose and Andrew R. Wade Random Minimal Directed Spanning Trees and Dickman-Type Distributions . . . . . 691--714 J. Rataj On Estimation of the Euler Number by Projections of Thin Slabs . . . . . . . 715--724 F. B. Knight and J. L. Steichen An Interference Problem with Application to Crystal Growth . . . . . . . . . . . 725--746 Daniel Dufresne The Log-Normal Approximation in Financial and Other Computations . . . . 747--773 Tim Bedford and Bo H. Lindqvist The Identifiability Problem for Repairable Systems Subject to Competing Risks . . . . . . . . . . . . . . . . . 774--790 Anna Maria Paganoni and Piercesare Secchi Interacting Reinforced-Urn Systems . . . 791--804 Gennady Samorodnitsky Maxima of Continuous-Time Stationary Stable Processes . . . . . . . . . . . . 805--823 B. M. Hambly and Jonathan Jordan A Random Hierarchical Lattice: The Series-Parallel Graph and Its Properties 824--838 Eitan Altman and Konstantin E. Avrachenkov and Rudesindo Núñez-Queija Perturbation Analysis for Denumerable Markov Chains with Application to Queueing Models . . . . . . . . . . . . 839--853 Sung-Seok Ko and Richard F. Serfozo Response Times in M/M/s Fork-Join Networks . . . . . . . . . . . . . . . . 854--871 Naoto Miyoshi On the Subexponential Properties in Stationary Single-Server Queues: A Palm-Martingale Approach . . . . . . . . 872--892 Do Young Eun and Ness B. Shroff Network Decomposition in the Many-Sources Regime . . . . . . . . . . 893--918 Benjamin Avi-Itzhak and Hanoch Levy On Measuring Fairness in Queues . . . . 919--936 S. Leorato and E. Orsingher Bose--Einstein-Type Statistics, Order Statistics and Planar Random Motions with Three Directions . . . . . . . . . 937--970 Anonymous Correction: \booktitleThe Multiclass GI/PHA/V Queue in the Halfin--Whitt Regime . . . . . . . . . . . . . . . . . 971--971 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Maria Deijfen and Olle Häggström Coexistence in a Two-Type Continuum Growth Model . . . . . . . . . . . . . . 973--980 Steven Finch and Irene Hueter Random Convex Hulls: A Variance Revisited . . . . . . . . . . . . . . . 981--986 Jan Hansen and Matthias Reitzner Electromagnetic Wave Propagation and Inequalities for Moments of Chord Lengths . . . . . . . . . . . . . . . . 987--995 Thierry Huillet On a Deposition Process on the Circle with Disorder . . . . . . . . . . . . . 996--1020 Sanjay Shakkottai and R. Srikant and Alexander L. Stolyar Pathwise Optimality of the Exponential Scheduling Rule for Wireless Channels 1021--1045 Remco van der Hofstad and Marten J. Klok Improving the Performance of Third-Generation Wireless Communication Systems . . . . . . . . . . . . . . . . 1046--1084 Stilian Stoev and Murad S. Taqqu Stochastic Properties of the Linear Multifractional Stable Motion . . . . . 1085--1115 David Assaf and Larry Goldstein and Ester Samuel-Cahn Two-Choice Optimal Stopping . . . . . . 1116--1147 R. A. Doney and P. S. Griffin Overshoots over Curved Boundaries. II 1148--1174 Samuel R. Buss and Peter Clote Solving the Fisher--Wright and Coalescence Problems with a Discrete Markov Chain Analysis . . . . . . . . . 1175--1197 James Ledoux Linear Dynamics for the State Vector of Markov Chain Functions . . . . . . . . . 1198--1211 Daming Lin and Viliam Makis Filters and Parameter Estimation for a Partially Observable System Subject to Random Failure with Continuous-Range Observations . . . . . . . . . . . . . . 1212--1230 Masakiyo Miyazawa and Yiqiang Q. Zhao The Stationary Tail Asymptotics in the GI/G/1-Type Queue with Countably Many Background States . . . . . . . . . . . 1231--1251 Rosario Delgado and F. Javier López and Gerardo Sanz Local Conditions for the Stochastic Comparison of Particle Systems . . . . . 1252--1277 Qihe Tang and Gurami Tsitsiashvili Finite- and Infinite-Time Ruin Probabilities in the Presence of Stochastic Returns on Investments . . . 1278--1299 Anonymous Correction: Taylor Series Expansions for Stationary Markov Chains . . . . . . . . 1300--1300 Anonymous Volume Information . . . . . . . . . . . 1301--1304 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Paul Balister and Béla Bollobás and Amites Sarkar and Mark Walters Connectivity of Random $k$-Nearest-Neighbour Graphs . . . . . . 1--24 Lothar Heinrich and Hendrik Schmidt and Volker Schmidt Limit Theorems for Stationary Tessellations with Random Inner Cell Structures . . . . . . . . . . . . . . . 25--47 Jesper Mòller and Giovanni Luca Torrisi Generalised Shot Noise Cox Processes . . 48--74 Laura Pontiggia Two-Person Red-and-Black with Bet-Dependent Win Probabilities . . . . 75--89 S. N. Ethier and David A. Levin On the Fundamental Theorem of Card Counting, with Application to the Game of \booktitleTrente et Quarante . . . . 90--107 M. Ya. Kelbert and N. N. Leonenko and M. D. Ruiz-Medina Fractional Random Fields Associated with Stochastic Fractional Heat Equations . . 108--133 J.-P. Lepeltier and A. Matoussi and M. Xu Reflected Backward Stochastic Differential Equations under Monotonicity and General Increasing Growth Conditions . . . . . . . . . . . 134--159 Juan Alvarez and Bruce Hajek A Queue with Semiperiodic Traffic . . . 160--184 Antonis Economou Generalized Product-Form Stationary Distributions for Markov Chains in Random Environments with Queueing Applications . . . . . . . . . . . . . . 185--211 Francisco J. Piera and Ravi R. Mazumdar and Fabrice M. Guillemin On Product-Form Stationary Distributions for Reflected Diffusions with Jumps in the Positive Orthant . . . . . . . . . . 212--228 Nariyuki Minami On the Number of Vertices with a Given Degree in a Galton--Watson Tree . . . . 229--264 Nicolas Lanchier Phase Transitions and Duality Properties of a Successional Model . . . . . . . . 265--278 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
L. Muche The Poisson--Voronoi Tessellation: Relationships for Edges . . . . . . . . 279--296 Daniel Hug and Matthias Reitzner Gaussian Polytopes: Variances and Limit Theorems . . . . . . . . . . . . . . . . 297--320 Michael Drmota and Hsien-Kuei Hwang Profiles of Random Trees: Correlation and Width of Random Recursive Trees and Binary Search Trees . . . . . . . . . . 321--341 C. C. Heyde and N. N. Leonenko Student Processes . . . . . . . . . . . 342--365 J. M. Angulo and V. V. Anh and R. McVinish and M. D. Ruiz-Medina Fractional Kinetic Equations Driven by Gaussian or Infinitely Divisible Noise 366--392 Janet Heffernan and Sidney Resnick Hidden Regular Variation and the Rank Transform . . . . . . . . . . . . . . . 393--414 Kais Hamza and Saul Jacka and Fima Klebaner The Equivalent Martingale Measure Conditions in a General Model for Interest Rates . . . . . . . . . . . . . 415--434 Vadim Linetsky On the Transition Densities for Reflected Diffusions . . . . . . . . . . 435--460 A. C. Brooms On the Nash Equilibria for the FCFS Queueing System with Load-Increasing Service Rate . . . . . . . . . . . . . . 461--481 Quan-Lin Li and Yiqiang Q. Zhao Heavy-Tailed Asymptotics of Stationary Probability Vectors of Markov Chains of GI/G/1 Type . . . . . . . . . . . . . . 482--509 Yiqing Chen and Kai W. Ng and Qihe Tang Weighted Sums of Subexponential Random Variables and Their Maxima . . . . . . . 510--522 M. Ispány and G. Pap and M. C. A. Van Zuijlen Fluctuation Limit of Branching Processes with Immigration and Estimation of the Means . . . . . . . . . . . . . . . . . 523--538 A. B. Dieker and M. Mandjes On Asymptotically Efficient Simulation of Large Deviation Probabilities . . . . 539--552 Jean Bertoin and Servet Martínez Fragmentation Energy . . . . . . . . . . 553--570 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Ery Arias-Castro and David L. Donoho and Xiaoming Huo and Craig A. Tovey Connect the Dots: How Many Random Points Can a Regular Curve Pass Through? . . . 571--603 Daryl J. Daley and Günter Last Descending Chains, the Lilypond Model, and Mutual-Nearest-Neighbour Matching 604--628 Jesper Mòller and Jakob G. Rasmussen Perfect Simulation of Hawkes Processes 629--646 Michael G. B. Blum and Olivier François Minimal Clade Size and External Branch Length under the Neutral Coalescent . . 647--662 Victor F. Araman and Peter W. Glynn Diffusion Approximations for the Maximum of a Perturbed Random Walk . . . . . . . 663--680 J. D. Biggins and A. Rahimzadeh Sani Convergence Results on Multitype, Multivariate Branching Random Walks . . 681--705 Chunsheng Ma Spatio-Temporal Variograms and Covariance Models . . . . . . . . . . . 706--725 Harri Nyrhinen Power Estimates for Ruin Probabilities 726--742 Boris Buchmann and Claudia Klüppelberg Maxima of Stochastic Processes Driven by Fractional Brownian Motion . . . . . . . 743--764 N. Balakrishnan and A. G. Pakes and A. Stepanov On the Number and Sum of Near-Record Observations . . . . . . . . . . . . . . 765--780 Raul Gouet and F. Javier López and Gerardo Sanz Central Limit Theorems for the Number of Records in Discrete Models . . . . . . . 781--800 Richard F. Serfozo Reversible Markov Processes on General Spaces and Spatial Migration Processes 801--818 Jun Cai and Hailiang Yang Ruin in the Perturbed Compound Poisson Risk Process under Interest Force . . . 819--835 Shuanming Li and José Garrido On a General Class of Renewal Risk Process: Analysis of the Gerber--Shiu Function . . . . . . . . . . . . . . . . 836--856 Richard Cowan and S. N. Chiu Letter to the Editor . . . . . . . . . . 857--858 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Werner Nagel and Viola Weiss Crack STIT Tessellations: Characterization of Stationary Random Tessellations Stable with Respect to Iteration . . . . . . . . . . . . . . . 859--883 Tomasz Schreiber Random Dynamics and Thermodynamic Limits for Polygonal Markov Fields in the Plane 884--907 David Vere-Jones A Class of Self-Similar Random Measure 908--914 E. L. Örmeci and A. Burnetas Dynamic Admission Control for Loss Systems with Batch Arrivals . . . . . . 915--937 Sergio Albeverio and Shuji Kawasaki On a Localization Property of Wavelet Coefficients for Processes with Stationary Increments, and Applications. I. Localization with Respect to Shift 938--962 Martin Jacobsen The Time to Ruin for a Class of Markov Additive Risk Process with Two-Sided Jumps . . . . . . . . . . . . . . . . . 963--992 Vicky Fasen Extremes of Regularly Varying Lévy-Driven Mixed Moving Average Processes . . . . . 993--1014 Saul D. Jacka and Zorana Lazic and Jon Warren Conditioning an Additive Functional of a Markov Chain to Stay Nonnegative. I. Survival for a Long Time . . . . . . . . 1015--1034 Saul D. Jacka and Zorana Lazic and Jon Warren Conditioning an Additive Functional of a Markov Chain to Stay Nonnegative. II. Hitting a High Level . . . . . . . . . . 1035--1055 Anyue Chen and Phil Pollett and Hanjun Zhang and Ben Cairns Uniqueness Criteria for Continuous-Time Markov Chains with General Transition Structures . . . . . . . . . . . . . . . 1056--1074 Quan-Lin Li and Yiqiang Q. Zhao Light-Tailed Asymptotics of Stationary Probability Vectors of Markov Chains of GI/G/1 Type . . . . . . . . . . . . . . 1075--1093 David Aldous and Lea Popovic A Critical Branching Process Model for Biodiversity . . . . . . . . . . . . . . 1094--1115 Pierre Brémaud and Laurent Massoulié and Andrea Ridolfi Power Spectra of Random Spike Fields and Related Processes . . . . . . . . . . . 1116--1146 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Z. D. Bai and Sungchul Lee and Mathew D. Penrose Rooted Edges of a Minimal Directed Spanning Tree on Random Points . . . . . 1--30 Charles Bordenave and Yann Gousseau and François Roueff The Dead Leaves Model: A General Tessellation Modeling Occlusion . . . . 31--46 Pierre Calka and Tomasz Schreiber Large Deviation Probabilities for the Number of Vertices of Random Polytopes in the Ball . . . . . . . . . . . . . . 47--58 Ilkka Norros and Hannu Reittu On a Conditionally Poissonian Graph Process . . . . . . . . . . . . . . . . 59--75 Ursa Pantle and Volker Schmidt and Evgueni Spodarev Central Limit Theorems for Functionals of Stationary Germ-Grain Models . . . . 76--94 K. D. Glazebrook and C. Kirkbride and D. Ruiz-Hernandez Spinning Plates and Squad Systems: Policies for Bi-Directional Restless Bandits . . . . . . . . . . . . . . . . 95--115 Einar Andreas Ròdland Exact Distribution of Word Counts in Shuffled Sequences . . . . . . . . . . . 116--133 Henrik Hult and Filip Lindskog On Regular Variation for Infinitely Divisible Random Vectors and Additive Processes . . . . . . . . . . . . . . . 134--148 Cécile Mercadier Numerical Bounds for the Distributions of the Maxima of Some One- and Two-Parameter Gaussian Processes . . . . 149--170 Aglaia Vasileiou and P.-C. G. Vassiliou An Inhomogeneous Semi-Markov Model for the Term Structure of Credit Risk Spreads . . . . . . . . . . . . . . . . 171--198 X. Fan-Orzechowski and E. A. Feinberg Optimality of Randomized Trunk Reservation for a Problem with a Single Constraint . . . . . . . . . . . . . . . 199--220 Onno Boxma and David Perry and Wolfgang Stadje and Shelemyahu Zacks A Markovian Growth-Collapse Model . . . 221--243 Maxim Finkelstein and Veronica Esaulova Asymptotic Behavior of a General Class of Mixture Failure Rates . . . . . . . . 244--262 Nelson Antunes and Christine Fricker and Fabrice Guillemin and Philippe Robert Perturbation Analysis of a Variable M/M/1 Queue: A Probabilistic Approach 263--283 David Stirzaker Three-Handed Gambler's Ruin . . . . . . 284--286 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Maria Deijfen and Ronald Meester Generating Stationary Random Graphs on $Z$ with Prescribed Independent, Identically Distributed Degrees . . . . 287--298 Stephan Huckemann and Herbert Ziezold Principal Component Analysis for Riemannian Manifolds, with an Application to Triangular Shape Spaces 299--319 Victor M. Panaretos The Diffusion of Radon Shape . . . . . . 320--335 Mathew D. Penrose and Andrew R. Wade On the Total Length of the Random Minimal Directed Spanning Tree . . . . . 336--372 Bernardo D'Auria and Sidney I. Resnick Data Network Models of Burstiness . . . 373--404 Robert C. Griffiths Coalescent Lineage Distributions . . . . 405--429 Georg Lindgren Slepian Models for the Stochastic Shape of Individual Lagrange Sea Waves . . . . 430--450 T. J. Kozubowski and M. M. Meerschaert and K. Podgórski Fractional Laplace Motion . . . . . . . 451--464 Didier Piau Harmonic Moments of Inhomogeneous Branching Processes . . . . . . . . . . 465--486 C. Bordenave Stability of Spatial Queueing Systems 487--504 Antonis Dimakis and Jean Walrand Sufficient Conditions for Stability of Longest-Queue-First Scheduling: Second-Order Properties Using Fluid Limits . . . . . . . . . . . . . . . . . 505--521 Allan J. Motyer and Peter G. Taylor Decay Rates for Quasi-Birth-and-Death Processes with Countably Many Phases and Tridiagonal Block Generators . . . . . . 522--544 Sòren Asmussen and Dirk P. Kroese Improved Algorithms for Rare Event Simulation with Heavy Tails . . . . . . 545--558 P. Doukhan and A. Latour and D. Oraichi A Simple Integer-Valued Bilinear Time Series Model . . . . . . . . . . . . . . 559--578 Anonymous Correction: Connect the Dots: How Many Random Points Can a Regular Curve Pass Through? . . . . . . . . . . . . . . . . 579--579 Anonymous Correction: Exact Distribution of Word Counts in Shuffled Sequences . . . . . . 580--580 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Richard Cowan A More Comprehensive Complementary Theorem for the Analysis of Poisson Point Processes . . . . . . . . . . . . 581--601 Günter Last Stationary Partitions and Palm Probabilities . . . . . . . . . . . . . 602--620 Hyun-Soo Ahn and Rhonda Righter Dynamic Load Balancing with Flexible Workers . . . . . . . . . . . . . . . . 621--642 K. D. Glazebrook and D. Ruiz-Hernandez and C. Kirkbride Some Indexable Families of Restless Bandit Problems . . . . . . . . . . . . 643--672 Jun Sekine A Note on Long-Term Optimal Portfolios under Drawdown Constraints . . . . . . . 673--692 A. D. Barbour and Aihua Xia Normal Approximation for Random Sums . . 693--728 Christian Bender and John Schoenmakers An Iterative Method for Multiple Stopping: Convergence and Stability . . 729--749 M. Möhle On the Number of Segregating Sites for Populations with Large Family Sizes . . 750--767 A. B. Dieker Applications of Factorization Embeddings for Lévy Processes . . . . . . . . . . . 768--791 Zbigniew Palmowski and Tomasz Rolski On the Exact Asymptotics of the Busy Period in GI/G/1 Queues . . . . . . . . 792--803 Kei Kobayashi and Hideki Kawasaki and Akimichi Takemura Parallel Matching for Ranking All Teams in a Tournament . . . . . . . . . . . . 804--826 Raphael Hauser and Servet Martínez and Heinrich Matzinger Large Deviations-Based Upper Bounds on the Expected Relative Length of Longest Common Subsequences . . . . . . . . . . 827--852 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Hermine Biermé and Anne Estrade Poisson Random Balls: Self-Similarity and X-Ray Images . . . . . . . . . . . . 853--872 Peter McCullagh and Jesper Mòller The Permanental Process . . . . . . . . 873--888 M. N. M. Van Lieshout Maximum Likelihood Estimation for Random Sequential Adsorption . . . . . . . . . 889--898 Daniel Barry and Caroline Lynch The Minimax Bookie: The Two-Horse Case 899--915 Albrecht Irle and Jörn Sass Optimal Portfolio Policies under Fixed and Proportional Transaction Costs . . . 916--942 Peter Neal Stochastic and Deterministic Analysis of SIS Household Epidemics . . . . . . . . 943--968 Michael Schröder On Ladder Height Densities and Laguerre Series in the Study of Stochastic Functionals. I. Basic Methods and Results . . . . . . . . . . . . . . . . 969--994 Michael Schröder On Ladder Height Densities and Laguerre Series in the Study of Stochastic Functionals. II. Exponential Functionals of Brownian Motion and Asian Option Values . . . . . . . . . . . . . . . . . 995--1027 E. Omey and F. Mallor and J. Santos Multivariate Subexponential Distributions and Random Sums of Random Vectors . . . . . . . . . . . . . . . . 1028--1046 K. A. Borovkov and V. A. Vatutin On the Asymptotic Behaviour of Random Recursive Trees in Random Environments 1047--1070 Andrew G. Hart and Servet Martínez and Leonardo Videla A Simple Maximization Model Inspired by Algorithms for the Organization of Genetic Candidates in Bacterial DNA . . 1071--1097 Ronald Meester and Pieter Trapman Estimation in Branching Processes with Restricted Observations . . . . . . . . 1098--1115 Bara Kim and Khosrow Sohraby Tail Behavior of the Queue Size and Waiting Time in a Queue with Discrete Autoregressive Arrivals . . . . . . . . 1116--1131 Teunis J. Ott Rate of Convergence for the 'Square Root Formula' in the Internet Transmission Control Protocol . . . . . . . . . . . . 1132--1154 Suhasini Subba Rao On Some Nonstationary, Nonlinear Random Processes and Their Stationary Approximations . . . . . . . . . . . . . 1155--1172 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Felix Ballani The Surface Pair Correlation Function for Stationary Boolean Models . . . . . 1--15 Volker Baumstark and Günter Last Some Distributional Results for Poisson--Voronoi Tessellations . . . . . 16--40 Marianne Månsson A Connection between the Volume Fractions of the Stienen Model and the Dead Leaves Model . . . . . . . . . . . 41--52 Leandro P. R. Pimentel Multitype Shape Theorems for First Passage Percolation Models . . . . . . . 53--76 Chantal Labbé and Andrew J. Heunis Convex Duality in Constrained Mean-Variance Portfolio Optimization . . 77--104 Francisco Vera and James Lynch General Convex Stochastic Orderings and Related Martingale-Type Structures . . . 105--127 Etienne Roquain and Sophie Schbath Improved Compound Poisson Approximation for the Number of Occurrences of Any Rare Word Family in a Stationary Markov Chain . . . . . . . . . . . . . . . . . 128--140 L. Rigal and L. Truffet A New Genetic Algorithm Specifically Based on Mutation and Selection . . . . 141--161 Julien Barral and Stéphane Seuret Renewal of Singularity Sets of Random Self-Similar Measures . . . . . . . . . 162--188 Christian Y. Robert Stochastic Stability of Some State-Dependent Growth-Collapse Processes . . . . . . . . . . . . . . . 189--220 Denis Denisov and Vsevolod Shneer Local Asymptotics of the Cycle Maximum of a Heavy-Tailed Random Walk . . . . . 221--244 Michael Schröder Continuous-Time Methods in the Study of Discretely Sampled Functionals of Lévy Processes. I. The Positive Process Case 245--270 Qi-Ming He and Hanqin Zhang On Matrix Exponential Distributions . . 271--292 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
K. A. Borovkov and D. A. Odell On Spatial Thinning-Replacement Processes Based on Voronoi Cells . . . . 293--306 Lars Michael Hoffmann Intersection Densities of Nonstationary Poisson Processes of Hypersurfaces . . . 307--317 Hermann Thorisson The Palm-Duality for Random Subsets of $d$-Dimensional Grids . . . . . . . . . 318--325 Andrew R. Wade Explicit Laws of Large Numbers for Random Nearest-Neighbour-Type Graphs . . 326--342 Jun Cai On the Time Value of Absolute Ruin with Debit Interest . . . . . . . . . . . . . 343--359 Ugur Tuncay Alparslan and Gennady Samorodnitsky Ruin Probability with Certain Stationary Stable Claims Generated by Conservative Flows . . . . . . . . . . . . . . . . . 360--384 Susan M. Pitts and Konstadinos Politis Approximations for the Gerber--Shiu Expected Discounted Penalty Function in the Compound Poisson Risk Model . . . . 385--406 Kurt Majewski Large Deviation Properties of Constant Rate Data Streams Sharing a Buffer with Long-Range Dependent Traffic in Critical Loading . . . . . . . . . . . . . . . . 407--428 Thu-Ha Dao-Thi and Jean Mairesse Zero-Automatic Queues and Product Form 429--461 Daren B. H. Cline Stability of Nonlinear Stochastic Recursions with Application to Nonlinear AR--GARCH Models . . . . . . . . . . . . 462--491 Claude Lef\`evre First-Crossing and Ballot-Type Results for Some Nonstationary Sequences . . . . 492--509 P. Barrieu and N. Bellamy Optimal Hitting Time and Perpetual Option in a Non-Lévy Model: Application to Real Options . . . . . . . . . . . . 510--530 Jeannette H. C. Woerner Inference in Lévy-Type Stochastic Volatility Models . . . . . . . . . . . 531--549 C. Dombry A Weighted Random Walk Model, with Application to a Genetic Algorithm . . . 550--568 Peter Jagers and Fima C. Klebaner and Serik Sagitov Markovian Paths to Extinction . . . . . 569--587 E. Orsingher and A. De Gregorio Random Motions at Finite Velocity in a Non-Euclidean Space . . . . . . . . . . 588--611 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Gennadiy Averkov and Gabriele Bianchi Retrieving Convex Bodies from Restricted Covariogram Functions . . . . . . . . . 613--629 Richard Cowan Identities Linking Volumes of Convex Hulls . . . . . . . . . . . . . . . . . 630--644 Xianping Guo and Onésimo Hernández-Lerma Zero-Sum Games for Continuous-Time Jump Markov Processes in Polish Spaces: Discounted Payoffs . . . . . . . . . . . 645--668 Jostein Paulsen Optimal Dividend Payments until Ruin of Diffusion Processes When Payments Are Subject to Both Fixed and Proportional Costs . . . . . . . . . . . . . . . . . 669--689 Giacomo Aletti and Caterina May and Piercesare Secchi On the Distribution of the Limit Proportion for a Two-Color, Randomly Reinforced Urn with Equal Reinforcement Distributions . . . . . . . . . . . . . 690--707 D. A. Croydon The Hausdorff Dimension of a Class of Random Self-Similar Fractal Trees . . . 708--730 Martin Raic CLT-Related Large Deviation Bounds Based on Stein's Method . . . . . . . . . . . 731--752 Tze Leung Lai and Yi-Ching Yao and Farid Aitsahlia Corrected Random Walk Approximations to Free Boundary Problems in Optimal Stopping . . . . . . . . . . . . . . . . 753--775 Niels Richard Hansen Asymptotics for Local Maximal Stack Scores with General Loop Penalty Function . . . . . . . . . . . . . . . . 776--798 Chingfer Chen and Samuel Karlin $r$-Scan Statistics of a Poisson Process with Events Transformed by Duplications, Deletions, and Displacements . . . . . . 799--825 Cheng-Der Fuh Asymptotic Expansions on Moments of the First Ladder Height in Markov Random Walks with Small Drift . . . . . . . . . 826--852 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Ayalvadi Ganesh and Feng Xue On the Connectivity and Diameter of Small-World Networks . . . . . . . . . . 853--863 Lars Michael Hoffmann On Weak Stationarity and Weak Isotropy of Processes of Convex Bodies and Cylinders . . . . . . . . . . . . . . . 864--882 Viktor Olsbo On the Correlation between the Volumes of the Typical Poisson Voronoi Cell and the Typical Stienen Sphere . . . . . . . 883--892 Emmanuel Roy Bartlett Spectrum and Mixing Properties of Infinitely Divisible Random Measures 893--897 Idriss Maoui and Hayriye Ayhan and Robert D. Foley Congestion-Dependent Pricing in a Stochastic Service System . . . . . . . 898--921 Tom Britton and Svante Janson and Anders Martin-Löf Graphs with Specified Degree Distributions, Simple Epidemics, and Local Vaccination Strategies . . . . . . 922--948 Frank Ball and Tom Britton An Epidemic Model with Infector-Dependent Severity . . . . . . 949--972 Pedro J. Fernández and Pablo A. Ferrari and Sebastian P. Grynberg Perfectly Random Sampling of Truncated Multinormal Distributions . . . . . . . 973--990 Frosso S. Makri and Andreas N. Philippou and Zaharias M. Psillakis Success Run Statistics Defined on an Urn Model . . . . . . . . . . . . . . . . . 991--1019 Sofia Åberg Wave Intensities and Slopes in Lagrangian Seas . . . . . . . . . . . . 1020--1035 F. C. Klebaner and U. Rösler and S. Sagitov Transformations of Galton--Watson Processes and Linear Fractional Reproduction . . . . . . . . . . . . . . 1036--1053 I. Rahimov Functional Limit Theorems for Critical Processes with Immigration . . . . . . . 1054--1069 J. Blanchet and P. Glynn Uniform Renewal Theory with Applications to Expansions of Random Geometric Sums 1070--1097 Eitan Bachmat and Daniel Berend and Luba Sapir and Steven Skiena Optimal Boarding Policies for Thin Passengers . . . . . . . . . . . . . . . 1098--1114 Anonymous Correction: [``\booktitleStability of Nonlinear Stochastic Recursions with Application to Nonlinear AR--GARCH Models] . . . . . . . . . . . . . . . . 1115--1116 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
David J. Aldous and Wilfrid S. Kendall Short-Length Routes in Low-Cost Networks VIA Poisson Line Patterns . . . . . . . 1--21 Jennie C. Hansen and Eric Schmutz and Li Sheng Covering Random Points in a Unit Disk 22--30 Markus Kiderlen Estimation of the Mean Normal Measure from Flat Sections . . . . . . . . . . . 31--48 Joseph Mecke and Werner Nagel and Viola Weiss The Iteration of Random Tessellations and a Construction of a Homogeneous Process of Cell Divisions . . . . . . . 49--59 Bernardo D'Auria and Sidney I. Resnick The Influence of Dependence on Data Network Models . . . . . . . . . . . . . 60--94 Junping Li and Anyue Chen Decay Property of Stopped Markovian Bulk-Arriving Queues . . . . . . . . . . 95--121 A. J. E. M. Janssen and J. S. H. Van Leeuwaarden and B. Zwart Gaussian Expansions and Bounds for the Poisson Distribution Applied to the Erlang $B$ Formula . . . . . . . . . . . 122--143 Elisa Al\`os and Christian-Oliver Ewald Malliavin Differentiability of the Heston Volatility and Applications to Option Pricing . . . . . . . . . . . . . 144--162 Shek-Keung Tony Wong The Generalized Perpetual American Exchange-Option Problem . . . . . . . . 163--182 Jennie C. Hansen and Jerzy Jaworski Local Properties of Random Mappings with Exchangeable In-Degrees . . . . . . . . 183--205 Alex Iksanov and Martin Möhle On the Number of Jumps of Random Walks with a Barrier . . . . . . . . . . . . . 206--228 Elizabeth S. Allman and Cécile Ané and John A. Rhodes Identifiability of a Markovian Model of Molecular Evolution with Gamma-Distributed Rates . . . . . . . . 229--249 Santanu Chakraborty and Jose Alfredo López-Mimbela Nonexplosion of a Class of Semilinear Equations via Branching Particle Representations . . . . . . . . . . . . 250--272 Bruno Casella and Gareth O. Roberts Exact Monte Carlo Simulation of Killed Diffusions . . . . . . . . . . . . . . . 273--291 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ?? J. Gani Editorship of Journal of Applied Probability and Advances in Applied Probability . . . . . . . . . . . . . . ??
Charles Bordenave and Giovanni Luca Torrisi Monte Carlo Methods for Sensitivity Analysis of Poisson-Driven Stochastic Systems, and Applications . . . . . . . 293--320 Jesper Mòller and Katerina Helisová Power Diagrams and Interaction Processes for Unions of Discs . . . . . . . . . . 321--347 Beatriz Pateiro-López and Alberto Rodríguez-Casal Length and Surface Area Estimation under Smoothness Restrictions . . . . . . . . 348--358 C. Charalambous and J. C. Gittins Optimal Selection Policies for a Sequence of Candidate Drugs . . . . . . 359--376 Savas Dayanik and Warren Powell and Kazutoshi Yamazaki Index Policies for Discounted Bandit Problems with Availability Constraints 377--400 Christoph Frei and Martin Schweizer Exponential Utility Indifference Valuation in Two Brownian Settings with Stochastic Correlation . . . . . . . . . 401--423 Lucia Caramellino and Barbara Pacchiarotti Large Deviation Estimates of the Crossing Probability for Pinned Gaussian Processes . . . . . . . . . . . . . . . 424--453 Ivan Gentil and Bruno Rémillard Using Systematic Sampling Selection for Monte Carlo Solutions of Feynman--Kac Equations . . . . . . . . . . . . . . . 454--472 Robert C. Griffiths and Paul A. Jenkins and Yun S. Song Importance Sampling and the Two-Locus Model with Subdivided Population Structure . . . . . . . . . . . . . . . 473--500 Jonathan Touboul and Olivier Faugeras A Characterization of the First Hitting Time of Double Integral Processes to Curved Boundaries . . . . . . . . . . . 501--528 Francisco J. Piera and Ravi R. Mazumdar and Fabrice M. Guillemin Boundary Behavior and Product-Form Stationary Distributions of Jump Diffusions in the Orthant with State-Dependent Reflections . . . . . . 529--547 David Gamarnik and Petar Momcilovi\'c Steady-State Analysis of a Multiserver Queue in the Halfin--Whitt Regime . . . 548--577 Nicole Bäuerle and Rudolf Grübel Multivariate Risk Processes with Interacting Intensities . . . . . . . . 578--601 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Gunnar Hellmund and Michaela Prokesová and Eva B. Vedel Jensen Lévy-Based Cox Point Processes . . . . . 603--629 Claudia Lautensack and Sergei Zuyev Random Laguerre Tessellations . . . . . 630--650 Dominic Schuhmacher and Aihua Xia A New Metric between Distributions of Point Processes . . . . . . . . . . . . 651--672 Takashi Tamura Maximization of the Long-Term Growth Rate for a Portfolio with Fixed and Proportional Transaction Costs . . . . . 673--695 Matthias Degen and Paul Embrechts EVT-Based Estimation of Risk Capital and Convergence of High Quantiles . . . . . 696--715 Hyun Suk Park and Ross Maller Moment and MGF Convergence of Overshoots and Undershoots for Lévy Insurance Risk Processes . . . . . . . . . . . . . . . 716--733 Adam Bobrowski Asymptotic Behavior of a Feller Evolution Family Involved in the Fisher--Wright Model . . . . . . . . . . 734--758 Xin Qi A Functional Central Limit Theorem for Spatial Birth and Death Processes . . . 759--797 Erik Broman and Ronald Meester Survival of Inhomogeneous Galton--Watson Processes . . . . . . . . . . . . . . . 798--814 K. Borovkov and G. Last On Level Crossings for a General Class of Piecewise-Deterministic Markov Processes . . . . . . . . . . . . . . . 815--834 Eunju Sohn and Charles Knessl The Distribution of Wasted Spaces in the M/M/$ \infty $ Queue with Ranked Servers 835--855 Charles Knessl and Diego Ernesto Dominici Asymptotic Analysis of a Fluid Model Modulated by an M/M/1 Queue . . . . . . 856--881 David Vere-Jones A Limit Theorem with Application to Båth's Law in Seismology . . . . . . . . 882--896 Hongsheng Dai Perfect Sampling Methods for Random Forests . . . . . . . . . . . . . . . . 897--917 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Kasra Alishahi and Mohsen Sharifitabar Volume Degeneracy of the Typical Cell and the Chord Length Distribution for Poisson--Voronoi Tessellations in High Dimensions . . . . . . . . . . . . . . . 919--938 Rama Cont and Emily Tanimura Small-World Graphs: Characterization and Alternative Constructions . . . . . . . 939--965 Archis Ghate Decentralized Search on Spheres Using Small-World Markov Chains: Expected Hitting Times and Structural Properties 966--978 Kari Heine and Dan Crisan Uniform Approximations of Discrete-Time Filters . . . . . . . . . . . . . . . . 979--1001 John K. McSweeney and Boris G. Pittel Expected Coalescence Time for a Nonuniform Allocation Process . . . . . 1002--1032 José A. Adell and José M. Anoz and Alberto Lekuona Exact Values and Sharp Estimates for the Total Variation Distance between Binomial and Poisson Distributions . . . 1033--1047 Anne Fey and Remco Van Der Hofstad and Marten J. Klok Large Deviations for Eigenvalues of Sample Covariance Matrices, with Applications to Mobile Communication Systems . . . . . . . . . . . . . . . . 1048--1071 Takis Konstantopoulos and Andreas E. Kyprianou and Paavo Salminen and Marina Sirviö Analysis of Stochastic Fluid Queues Driven by Local-Time Processes . . . . . 1072--1103 Jose H. Blanchet and Jingchen Liu State-Dependent Importance Sampling for Regularly Varying Random Walks . . . . . 1104--1128 V. V. Anh and Nikolai N. Leonenko and Narn-Rueih Shieh Multifractality of Products of Geometric Ornstein--Uhlenbeck-Type Processes . . . 1129--1156 Winfried K. Grassmann and Javad Tavakoli Stochastic and Substochastic Solutions for Infinite-State Markov Chains with Applications to Matrix-Analytic Methods 1157--1173 Lorens A. Imhof Multiple-Trial Conflicts and Stochastic Evolutionary Game Dynamics . . . . . . . 1174--1197 Donatas Surgailis A Quadratic ARCH($ \infty $) Model with Long Memory and Lévy Stable Behavior of Squares . . . . . . . . . . . . . . . . 1198--1222 Yaming Yu On an Inequality of Karlin and Rinott concerning Weighted Sums of I.I.D. Random Variables . . . . . . . . . . . . 1223--1226 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Paul Balister and Béla Bollobás and Amites Sarkar and Mark Walters A Critical Constant for the $k$-Nearest-Neighbour Model . . . . . . 1--12 Zakhar Kabluchko and Evgeny Spodarev Scan Statistics of Lévy Noises and Marked Empirical Processes . . . . . . . . . . 13--37 Nathan Shank Nearest-Neighbor Graphs on the Cantor Set . . . . . . . . . . . . . . . . . . 38--62 G. N. Milstein and M. V. Tretyakov Monte Carlo Methods for Backward Equations in Nonlinear Filtering . . . . 63--100 Jean-François Chassagneux A Discrete-Time Approximation for Doubly Reflected BSDEs . . . . . . . . . . . . 101--130 F. Thomas Bruss and Guy Louchard The Odds Algorithm Based on Sequential Updating and Its Performance . . . . . . 131--153 Hsiao-Chi Chen and Yunshyong Chow Evolutionary Prisoner's Dilemma Games with One-Dimensional Local Interaction and Imitation . . . . . . . . . . . . . 154--176 R. Bekker and O. J. Boxma and J. A. C. Resing Lévy Processes with Adaptable Exponent 177--205 C. C. Heyde and Dingcheng Wang Finite-Time Ruin Probability with an Exponential Lévy Process Investment Return and Heavy-Tailed Claims . . . . . 206--224 Serik Sagitov and Maria Conceição Serra Multitype Bienaymé--Galton--Watson Processes Escaping Extinction . . . . . 225--246 Maude Gathy and Claude Lef\`evre From Damage Models to SIR Epidemics and Cascading Failures . . . . . . . . . . . 247--269 Hua Zhou and Kenneth Lange Composition Markov Chains of Multinomial Type . . . . . . . . . . . . . . . . . . 270--291 James C. Fu and Brad C. Johnson Approximate Probabilities for Runs and Patterns in I.I.D. and Markov-Dependent Multistate Trials . . . . . . . . . . . 292--308 Anonymous Correction: A characterization of the first hitting time of double integral processes to curved boundaries . . . . . 309--309 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Inés Armendáriz and Antonio Cuevas and Ricardo Fraiman Nonparametric Estimation of Boundary Measures and Related Functionals: Asymptotic Results . . . . . . . . . . . 311--322 Paul Balister and Béla Bollobás and Mark Walters Random Transceiver Networks . . . . . . 323--343 J. Díaz and D. Mitsche and X. Pérez-Giménez On the Probability of the Existence of Fixed-Size Components in Random Geometric Graphs . . . . . . . . . . . . 344--357 H. S. Harutyunyan and V. K. Ohanyan The Chord Length Distribution Function for Regular Polygons . . . . . . . . . . 358--366 Shai Covo One-Dimensional Distributions of Subordinators with Upper Truncated Lévy Measure, and Applications . . . . . . . 367--392 Vicky Fasen and Gennady Samorodnitsky A Fluid Cluster Poisson Input Process Can Look Like a Fractional Brownian Motion Even in the Slow Growth Aggregation Regime . . . . . . . . . . . 393--427 Claudia Brachner and Vicky Fasen and Alexander Lindner Extremes of Autoregressive Threshold Processes . . . . . . . . . . . . . . . 428--451 Brice Franke and Tatsuhiko Saigo The Extremes of Random Walks in Random Sceneries . . . . . . . . . . . . . . . 452--468 Zhaolei Cui and Yuebao Wang and Kaiyong Wang Asymptotics for the Moments of the Overshoot and Undershoot of a Random Walk . . . . . . . . . . . . . . . . . . 469--494 Jun Cai and Runhuan Feng and Gordon E. Willmot On the Expectation of Total Discounted Operating Costs Up to Default and Its Applications . . . . . . . . . . . . . . 495--522 Valeri T. Stefanov and Frank Ball Reward Distributions Associated with Some Block Tridiagonal Transition Matrices with Applications to Identity by Descent . . . . . . . . . . . . . . . 523--545 Yusik Kim and Rhonda Righter and Ronald Wolff Job Replication on Multiserver Systems 546--575 Yuqiang Li The Speed of Extinction for Some Generalized Ji\vrina Processes . . . . . 576--599 Philippe Robert and Florian Simatos Occupancy Schemes Associated to Yule Processes . . . . . . . . . . . . . . . 600--622 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Bartlomiej Blaszczyszyn and D. Yogeshwaran Directionally Convex Ordering of Random Measures, Shot Noise Fields, and Some Applications to Wireless Communications 623--646 Hock Peng Chan Maxima of Moving Sums in a Poisson Random Field . . . . . . . . . . . . . . 647--663 David Dereudre The Existence of Quermass-Interaction Processes for Nonlocally Stable Interaction and Nonbounded Convex Grains 664--681 Rolf Schneider Weighted Faces of Poisson Hyperplane Tessellations . . . . . . . . . . . . . 682--694 René Caldentey and Edward H. Kaplan and Gideon Weiss FCFS Infinite Bipartite Matching of Servers and Customers . . . . . . . . . 695--730 Stephanie Leocard Selective Sweep and the Size of the Hitchhiking Set . . . . . . . . . . . . 731--764 Frank Ball and David Sirl and Pieter Trapman Threshold Behaviour and Final Outcome of an Epidemic on a Random Network with Household Structure . . . . . . . . . . 765--796 Abhimanyu Mitra and Sidney I. Resnick Aggregation of Rapidly Varying Risks and Asymptotic Independence . . . . . . . . 797--828 Giacomo Aletti and Caterina May and Piercesare Secchi A Central Limit Theorem, and Related Results, for a Two-Color Randomly Reinforced Urn . . . . . . . . . . . . . 829--844 Wlodek Bryc and David Minda and Sunder Sethuraman Large Deviations for the Leaves in Some Random Trees . . . . . . . . . . . . . . 845--873 Ugur Tuncay Alparslan Exceedance of Power Barriers for Integrated Continuous-Time Stationary Ergodic Stable Processes . . . . . . . . 874--892 David Márquez-Carreras Generalized Fractional Kinetic Equations: Another Point of View . . . . 893--910 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Volker Baumstark and Günter Last Gamma Distributions for Stationary Poisson Flat Processes . . . . . . . . . 911--939 Pierre Calka and Julien Michel and Katy Paroux Refined Convergence for the Boolean Model . . . . . . . . . . . . . . . . . 940--957 Mark L. Huber and Robert L. Wolpert Likelihood-Based Inference for Matérn Type-III Repulsive Point Processes . . . 958--977 Mathew D. Penrose and Vadim Shcherbakov Maximum Likelihood Estimation for Cooperative Sequential Adsorption . . . 978--1001 Richard Cowan and R. E. Miles LETTER TO THE EDITOR: Convex hulls on a hemisphere . . . . . . . . . . . . . . . 1002--1004 Mark Fackrell An Alternative Characterization for Matrix Exponential Distributions . . . . 1005--1022 Robb Koether and Marcus Pendergrass and John Osoinach The Lying Oracle Game with a Biased Coin 1023--1040 Abba M. Krieger and Ester Samuel-Cahn The Secretary Problem of Minimizing the Expected Rank: a Simple Suboptimal Approach with Generalizations . . . . . 1041--1058 Vincent Bansaye Cell Contamination and Branching Processes in a Random Environment with Immigration . . . . . . . . . . . . . . 1059--1081 F. Freund and M. Möhle On the Number of Allelic Types for Samples Taken from Exchangeable Coalescents with Mutation . . . . . . . 1082--1101 Marina Axelson-Fisk and Olle Häggström Conditional Percolation on One-Dimensional Lattices . . . . . . . . 1102--1122 Luc Devroye and Joachim Gudmundsson and Pat Morin On the Expected Maximum Degree of Gabriel and Yao Graphs . . . . . . . . . 1123--1140 A. A. Borovkov Insurance with Borrowing: First- and Second-Order Approximations . . . . . . 1141--1160 José Figueroa-López Nonparametric Estimation of Time-Changed Lévy Models Under High-Frequency Data . . 1161--1188 Vitali Wachtel Transition Phenomena for Ladder Epochs of Random Walks with Small Negative Drift . . . . . . . . . . . . . . . . . 1189--1214 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Paul Balister and Béla Bollobás and Amites Sarkar and Mark Walters Sentry Selection in Wireless Networks 1--25 Richard Cowan New Classes of Random Tessellations Arising from Iterative Division of Cells 26--47 L. Muche Contact and Chord Length Distribution Functions of the Poisson--Voronoi Tessellation in High Dimensions . . . . 48--68 Terry Soo Translation-Equivariant Matchings of Coin Flips on $ \mathbb {Z}^d $ . . . . 69--82 Jan Kallsen and Arnd Pauwels Variance-Optimal Hedging in General Affine Stochastic Volatility Models . . 83--105 Mariana Olvera-Cravioto On the Distribution of the Nearly Unstable $ {\rm AR}(1) $ Process with Heavy Tails . . . . . . . . . . . . . . 106--136 Wei Biao Wu and Yinxiao Huang and Wei Zheng Covariances Estimation for Long-Memory Processes . . . . . . . . . . . . . . . 137--157 Kurt Helmes and Richard H. Stockbridge Construction of the Value Function and Optimal Rules in Optimal Stopping of One-Dimensional Diffusions . . . . . . . 158--182 Arka P. Ghosh and Alexander Roitershtein and Ananda Weerasinghe Optimal Control of a Stochastic Processing System Driven by a Fractional Brownian Motion Input . . . . . . . . . 183--209 P. G. Taylor and B. Van Houdt On the Dual Relationship Between Markov Chains of Gi/M/1 and M/G/1 Type . . . . 210--225 Adam L. Kinnison and Peter Mörters Simultaneous Multifractal Analysis of the Branching and Visibility Measure on a Galton--Watson Tree . . . . . . . . . 226--245 Andreas Brandt and Manfred Brandt Insensitive Bounds for the Moments of the Sojourn Times in M/Gi Systems Under State-Dependent Processor Sharing . . . 246--267 O. Hryniv and M. Menshikov Long-Time Behaviour in a Model of Microtubule Growth . . . . . . . . . . . 268--291 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Robert J. Adler and Gennady Samorodnitsky and Jonathan E. Taylor Excursion Sets of Three Classes of Stable Random Fields . . . . . . . . . . 293--318 Jonathan Jordan Degree Sequences of Geometric Preferential Attachment Graphs . . . . . 319--330 H. Le and D. Barden On the Induced Distribution of the Shape of the Projection of a Randomly Rotated Configuration . . . . . . . . . . . . . 331--346 Jesper Mòller and Frederic Paik Schoenberg Thinning Spatial Point Processes into Poisson Processes . . . . . . . . . . . 347--358 Yi-Ching Yao On Variances of Partial Volumes of the Typical Cell of a Poisson--Voronoi Tessellation and Large-Dimensional Volume Degeneracy . . . . . . . . . . . 359--370 Anna Rusinek Mean Reversion for HJMM Forward Rate Models . . . . . . . . . . . . . . . . . 371--391 Achim Klenke and Lutz Mattner Stochastic Ordering of Classical Discrete Distributions . . . . . . . . . 392--410 Guus Balkema and Natalia Nolde Asymptotic Independence for Unimodal Densities . . . . . . . . . . . . . . . 411--432 Federico Bassetti and Irene Crimaldi and Fabrizio Leisen Conditionally Identically Distributed Species Sampling Sequences . . . . . . . 433--459 Anthony G. Pakes Critical Markov Branching Process Limit Theorems Allowing Infinite Variance . . 460--488 G. Lindgren Slope Distribution in Front--Back Asymmetric Stochastic Lagrange Time Waves . . . . . . . . . . . . . . . . . 489--508 Donata Puplinskaite and Donatas Surgailis Aggregation of a Random-Coefficient $ {\rm AR}(1) $ Process with Infinite Variance and Idiosyncratic Innovations 509--527 D. A. Croydon Scaling Limits for Simple Random Walks on Random Ordered Graph Trees . . . . . 528--558 Emilio De Santis and Fabrizio Grandoni and Alessandro Panconesi Low Degree Connectivity of Ad-Hoc Networks Via Percolation . . . . . . . . 559--576 Yana Volkovich and Nelly Litvak Asymptotic Analysis for Personalized Web Search . . . . . . . . . . . . . . . . . 577--604 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
I. Bárány and F. Fodor and V. Vígh Intrinsic Volumes of Inscribed Random Polytopes in Smooth Convex Bodies . . . 605--619 Y. Davydov and A. Nagaev and A. Philippe On the Peeling Procedure Applied to a Poisson Point Process . . . . . . . . . 620--630 Bhupender Gupta and Srikanth K. Iyer Criticality of the Exponential Rate of Decay for the Largest Nearest-Neighbor Link in Random Geometric Graphs . . . . 631--658 Mathew D. Penrose and Andrew R. Wade Limit Theorems for Random Spatial Drainage Networks . . . . . . . . . . . 659--688 Lijun Bo and Yongjin Wang and Xuewei Yang An Optimal Portfolio Problem in a Defaultable Market . . . . . . . . . . . 689--705 Shankar Bhamidi and Remco Van Der Hofstad and Gerard Hooghiemstra Extreme Value Theory, Poisson--Dirichlet Distributions, and First Passage Percolation on Random Networks . . . . . 706--738 Shoou-Ren Hsiau Selecting the Last Consecutive Record in a Record Process . . . . . . . . . . . . 739--760 K. Pakdaman and M. Thieullen and G. Wainrib Fluid Limit Theorems for Stochastic Hybrid Systems with Application to Neuron Models . . . . . . . . . . . . . 761--794 Jay Bartroff and Larry Goldstein and Yosef Rinott and Ester Samuel-Cahn On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity . . . . . . . . . . . . 795--815 Takayuki Osogami A Fluid Limit for a Cache Algorithm with General Request Processes . . . . . . . 816--833 Lasse Leskelä and Philippe Robert and Florian Simatos Interacting Branching Processes and Linear File-Sharing Networks . . . . . . 834--854 Yizao Wang and Stilian A. Stoev On the Structure and Representations of Max-Stable Processes . . . . . . . . . . 855--877 Samuel N. Cohen and Robert J. Elliott and Charles E. M. Pearce A General Comparison Theorem for Backward Stochastic Differential Equations . . . . . . . . . . . . . . . 878--898 Lamia Belhadji and Daniela Bertacchi and Fabio Zucca A Self-Regulating and Patch Subdivided Population . . . . . . . . . . . . . . . 899--912 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Daryl Daley and Wilfrid S. Kendall and Ilya Molchanov and Eva Vedel Jensen Dietrich Stoyan: a Tribute on the Occasion of His Seventieth Birthday . . ??
Tomasz Schreiber and Christoph Thäle Second-Order Properties and Central Limit Theory for the Vertex Process of Iteration Infinitely Divisible and Iteration Stable Random Tessellations in the Plane . . . . . . . . . . . . . . . 913--935 Florian Voss and Catherine Gloaguen and Volker Schmidt Scaling Limits for Shortest Path Lengths Along the Edges of Stationary Tessellations . . . . . . . . . . . . . 936--952 Xianping Guo and Liuer Ye New Discount and Average Optimality Conditions for Continuous-Time Markov Decision Processes . . . . . . . . . . . 953--985 Muhamad Azfar Ramli and Gerard Leng The Stationary Probability Density of a Class of Bounded Markov Processes . . . 986--993 Hosam M. Mahmoud Gaussian Phases in Generalized Coupon Collection . . . . . . . . . . . . . . . 994--1012 J. Valero and M. Pérez-Casany and J. Ginebra On Zero-Truncating and Mixing Poisson Distributions . . . . . . . . . . . . . 1013--1027 Alessandro De Gregorio Stochastic Velocity Motions and Processes with Random Time . . . . . . . 1028--1056 Predrag R. Jelenkovi\'c and Mariana Olvera-Cravioto Information Ranking and Power Laws on Trees . . . . . . . . . . . . . . . . . 1057--1093 Sen Tan and Aihua Xia On Customer Flows in Jackson Queueing Networks . . . . . . . . . . . . . . . . 1094--1101 Nigel Bean and Guy Latouche Approximations to Quasi-Birth-and-Death Processes with Infinite Blocks . . . . . 1102--1125 Jinzhu Li and Qihe Tang and Rong Wu Subexponential Tails of Discounted Aggregate Claims in a Time-Dependent Renewal Risk Model . . . . . . . . . . . 1126--1146 Martin Hutzenthaler and Jesse Earl Taylor Time Reversal of Some Stationary Jump Diffusion Processes from Population Genetics . . . . . . . . . . . . . . . . 1147--1171 R. McVinish and P. K. Pollett Limits of Large Metapopulations with Patch-Dependent Extinction Probabilities 1172--1186 Remco Van Der Hofstad and A. J. E. M. Janssen and Johan S. H. Van Leeuwaarden Critical Epidemics, Random Graphs, and Brownian Motion with a Parabolic Drift 1187--1206 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. D. Biggins and B. M. Hambly and O. D. Jones Multifractal Spectra for Random Self-Similar Measures Via Branching Processes . . . . . . . . . . . . . . . 1--39 R. Lachi\`eze-Rey Mixing Properties for STIT Tessellations 40--48 Daren B. H. Cline Irreducibility and Continuity Assumptions for Positive Operators with Application to Threshold GARCH Time Series Models . . . . . . . . . . . . . 49--76 Zhimin Zhang and Hailiang Yang and Hu Yang On the Absolute Ruin in a Map Risk Model with Debit Interest . . . . . . . . . . 77--96 Christian-Oliver Ewald and Yajun Xiao Information: Price and Impact on General Welfare and Optimal Investment. An Anticipative Stochastic Differential Game Model . . . . . . . . . . . . . . . 97--120 Jay Bartroff and Ester Samuel-Cahn The Fighter Problem: Optimal Allocation of a Discrete Commodity . . . . . . . . 121--130 François Baccelli and Bartlomiej Blaszczyszyn and Mir-Omid Haji-Mirsadeghi Optimal Paths on the Space-Time SINR Random Graph . . . . . . . . . . . . . . 131--150 Cecilia Holmgren A Weakly $1$-Stable Distribution for the Number of Random Records and Cuttings in Split Trees . . . . . . . . . . . . . . 151--177 Nicolas Curien and Adrien Joseph Partial Match Queries in Two-Dimensional Quadtrees: a Probabilistic Approach . . 178--194 Martin Larsson and Johanna Neslehová Extremal Behavior of Archimedean Copulas 195--216 Laurens De Haan and Chen Zhou Extreme Residual Dependence for Random Vectors and Processes . . . . . . . . . 217--242 A. Al Hanbali and M. Mandjes and Y. Nazarathy and W. Whitt The Asymptotic Variance of Departures in Critically Loaded Queues . . . . . . . . 243--263 Jing-Sheng Song and Paul Zipkin An Approximation for the Inverse First Passage Time Problem . . . . . . . . . . 264--275 M. Richard Limit Theorems for Supercritical Age-Dependent Branching Processes with Neutral Immigration . . . . . . . . . . 276--300
François Caron and Pierre Del Moral and Arnaud Doucet and Michele Pace On the Conditional Distributions of Spatial Point Processes . . . . . . . . 301--307 Daniel Hug and Rolf Schneider Faces with Given Directions in Anisotropic Poisson Hyperplane Mosaics 308--321 Jesper Mòller and Man Lung Yiu Probabilistic Results for a Mobile Service Scenario . . . . . . . . . . . . 322--334 Ronald Meester and Pieter Trapman Bounding Basic Characteristics of Spatial Epidemics with a New Percolation Model . . . . . . . . . . . . . . . . . 335--347 Clément Foucart Distinguished Exchangeable Coalescents and Generalized Fleming--Viot Processes with Immigration . . . . . . . . . . . . 348--374 Clément Dombry and Christian Mazza and Vincent Bansaye Phenotypic Diversity and Population Growth in a Fluctuating Environment . . 375--398 Ali Devin Sezer and Ferruh Özbudak Approximation of Bounds on Mixed-Level Orthogonal Arrays . . . . . . . . . . . 399--421 Raul Gouet and F. Javier López and Gerardo Sanz Asymptotic Normality for the Number of Records from General Distributions . . . 422--436 Thierry Huillet and Servet Martinez Duality and Intertwining for Discrete Markov Kernels: Relations and Examples 437--460 Yizao Wang and Stilian A. Stoev Conditional Sampling for Spectrally Discrete Max-Stable Random Fields . . . 461--483 Hongsheng Dai Exact Monte Carlo Simulation for Fork-Join Networks . . . . . . . . . . . 484--503 Yann Demichel and Anne Estrade and Marie Kratz and Gennady Samorodnitsky How Fast Can the Chord Length Distribution Decay? . . . . . . . . . . 504--523 Amr Elmasry and Hosam Mahmoud Analysis of Swaps in Radix Selection . . 524--544 Leila Setayeshgar and Hui Wang Large Deviations for a Feed-Forward Network . . . . . . . . . . . . . . . . 545--571 Bernt Òksendal and Agn\`es Sulem and Tusheng Zhang Optimal Control of Stochastic Delay Equations and Time-Advanced Backward Stochastic Differential Equations . . . 572--596
Sebastian Carstens and Thomas Richthammer The Two-Type Continuum Richardson Model: Nondependence of the Survival of Both Types on the Initial Configuration . . . 597--615 Amites Dasgupta and Rahul Roy and Anish Sarkar Geometry of the Poisson Boolean Model on a Region of Logarithmic Width in the Plane . . . . . . . . . . . . . . . . . 616--635 Mathew D. Penrose and Vadim Shcherbakov Asymptotic Normality of the Maximum Likelihood Estimator for Cooperative Sequential Adsorption . . . . . . . . . 636--648 S. Qu and J. C. Gittins A Forwards Induction Approach to Candidate Drug Selection . . . . . . . . 649--665 Ilya Molchanov and Michael Schmutz Exchangeability-Type Properties of Asset Prices . . . . . . . . . . . . . . . . . 666--687 Anita Diana Behme Distributional Properties of Solutions of $ d v_T = V_T - d u_T + d l_T $ with Lévy Noise . . . . . . . . . . . . . . . 688--711 Philip S. Griffin and Ross A. Maller Stability of the Exit Time for Lévy Processes . . . . . . . . . . . . . . . 712--734 Sandro Gallo Chains with Unbounded Variable Length Memory: Perfect Simulation and a Visible Regeneration Scheme . . . . . . . . . . 735--759 Mitsushi Tamaki Maximizing the Probability of Stopping on Any of the Last $m$ Successes in Independent Bernoulli Trials with Random Horizona . . . . . . . . . . . . . . . . 760--781 M. Jara and T. Komorowski Limit Theorems for Some Continuous-Time Random Walks . . . . . . . . . . . . . . 782--813 Angelos Dassios and Hongbiao Zhao A Dynamic Contagion Process . . . . . . 814--846 Chihoon Lee and Ananda Weerasinghe Stationarity and Control of a Tandem Fluid Network with Fractional Brownian Motion Input . . . . . . . . . . . . . . 847--874 Larry Goldstein and Haimeng Zhang A Berry--Esseen Bound for the Lightbulb Process . . . . . . . . . . . . . . . . 875--898
Nicolas Bonichon and Jean-François Marckert Asymptotics of Geometrical Navigation on a Random Set of Points in the Plane . . 899--942 Günter Last and Ryszard Szekli Comparisons and Asymptotics for Empty Space Hazard Functions of Germ--Grain Models . . . . . . . . . . . . . . . . . 943--962 Viola Weiss and Richard Cowan Topological Relationships in Spatial Tessellations . . . . . . . . . . . . . 963--984 Osman T. Akgun and Rhonda Righter and Ronald Wolff Multiple-Server System with Flexible Arrivals . . . . . . . . . . . . . . . . 985--1004 Tu\ugrul Dayar and Werner Sandmann and David Spieler and Verena Wolf Infinite Level-Dependent QBD Processes and Matrix-Analytic Solutions for Stochastic Chemical Kinetics . . . . . . 1005--1026 O. Hössjer Coalescence Theory for a General Class of Structured Populations with Fast Migration . . . . . . . . . . . . . . . 1027--1047 Frank G. Ball and Edward S. Knock and Philip D. O'Neill Threshold Behaviour of Emerging Epidemics Featuring Contact Tracing . . 1048--1065 Fang Xu The Sampling Formula and Laplace Transform Associated with the Two-Parameter Poisson--Dirichlet Distribution . . . . . . . . . . . . . . 1066--1085 Andreas Faller and Ludger Rüschendorf On Approximative Solutions of Optimal Stopping Problems . . . . . . . . . . . 1086--1108 Martin Moser and Robert Stelzer Tail Behavior of Multivariate Lévy--Driven Mixed Moving Average Processes and SupOU Stochastic Volatility Models . . . . . . . . . . . 1109--1135 E. H. A. Dia and D. Lamberton Connecting Discrete and Continuous Lookback Or Hindsight Options in Exponential Lévy Models . . . . . . . . . 1136--1165 Andrea Kvitkovicová and Victor M. Panaretos Asymptotic Inference for Partially Observed Branching Processes . . . . . . 1166--1190
B. Galerne and Y. Gousseau The Transparent Dead Leaves Model . . . 1--20 Srikanth K. Iyer and D. Yogeshwaran Percolation and Connectivity in ``Ab'' Random Geometric Graphs . . . . . . . . 21--41 Jesper Mòller and Kasper K. Berthelsen Transforming Spatial Point Processes into Poisson Processes Using Random Superposition . . . . . . . . . . . . . 42--62 Frank Ball and David Sirl An SIR Epidemic Model on a Population with Random Network and Household Structure, and Several Types of Individuals . . . . . . . . . . . . . . 63--86 Markus Kuba and Alois Panholzer Limiting Distributions for a Class of Diminishing Urn Models . . . . . . . . . 87--116 Irmingard Eder and Claudia Klüppelberg Pareto Lévy Measures and Multivariate Regular Variation . . . . . . . . . . . 117--138 Kaisheng Lin and Gesine Reinert Joint Vertex Degrees in the Inhomogeneous Random Graph Model $ \mathcal {G}(n, \{ p_{ij} \}) $ . . . . 139--165 Aristides V. Doumas and Vassilis G. Papanicolaou The Coupon Collector's Problem Revisited: Asymptotics of the Variance 166--195 Adrien Brandejsky and Benoîte De Saporta and François Dufour Numerical Methods for the Exit Time of a Piecewise-Deterministic Markov Process 196--225 Anyue Chen and Junping Li and Yiqing Chen and Dingxuan Zhou Extinction Probability of Interacting Branching Collision Processes . . . . . 226--259 Christopher S. Withers and Saralees Nadarajah The Distribution of Foschini's Lower Bound for Channel Capacity . . . . . . . 260--269 Michael Falk and Diana Tichy Asymptotic Conditional Distribution of Exceedance Counts . . . . . . . . . . . 270--291 J. Gåsemyr Bounds for the Availabilities of Multistate Monotone Systems Based on Decomposition into Stochastically Independent Modules . . . . . . . . . . 292--308 Anonymous Correction: Stochastic and Deterministic Analysis of SIS Household Epidemics . . 309--310
A. Cuevas and R. Fraiman and B. Pateiro-López On Statistical Properties of Sets Fulfilling Rolling-Type Conditions . . . 311--329 Piet Groeneboom Convex Hulls of Uniform Samples from a Convex Polygon . . . . . . . . . . . . . 330--342 Fraser Daly and Claude Lef\`evre and Sergey Utev Stein's Method and Stochastic Orderings 343--372 Shaul K. Bar-Lev and Gérard Letac Increasing Hazard Rate of Mixtures for Natural Exponential Families . . . . . . 373--390 Anand Bhaskar and Yun S. Song Closed-Form Asymptotic Sampling Distributions Under the Coalescent with Recombination for an Arbitrary Number of Loci . . . . . . . . . . . . . . . . . . 391--407 Anand Bhaskar and John A. Kamm and Yun S. Song Approximate Sampling Formulae for General Finite-Alleles Models of Mutation . . . . . . . . . . . . . . . . 408--428 Hosam M. Mahmoud and Robert T. Smythe On the Joint Behavior of Types of Coupons in Generalized Coupon Collection 429--451 Cheng-Der Fuh and Tian-Xiao Pang A Self-Normalized Central Limit Theorem for Markov Random Walks . . . . . . . . 452--478 L. Beghin Fractional Relaxation Equations and Brownian Crossing Probabilities of a Random Boundary . . . . . . . . . . . . 479--505 Guus Balkema and Natalia Nolde Asymptotic Dependence for Light-Tailed Homothetic Densities . . . . . . . . . . 506--527 Predrag R. Jelenkovi\'c and Mariana Olvera-Cravioto Implicit Renewal Theory and Power Tails on Trees . . . . . . . . . . . . . . . . 528--561 Mathieu Feuillet and Philippe Robert On the Transient Behavior of Ehrenfest and Engset Processes . . . . . . . . . . 562--582 Steffen Dereich and Christian Mönch and Peter Mörters Typical Distances in Ultrasmall Random Networks . . . . . . . . . . . . . . . . 583--601
F. Ballani and Z. Kabluchko and M. Schlather Random Marked Sets . . . . . . . . . . . 603--616 Victor Falgas-Ravry and Mark Walters Sharpness in the $k$-Nearest-Neighbours Random Geometric Graph Model . . . . . . 617--634 Christoph Thäle and Viola Weiss and Werner Nagel Spatial STIT Tessellations: Distributional Results for $I$-Segments 635--654 Savas Dayanik and Masahiko Egami Optimal Stopping Problems for Asset Management . . . . . . . . . . . . . . . 655--677 Claudia Ceci and Katia Colaneri Nonlinear Filtering for Jump Diffusion Observations . . . . . . . . . . . . . . 678--701 Sanaa Kholfi and Hosam M. Mahmoud The Class of Tenable Zero-Balanced Pólya Urn Schemes: Characterization and Gaussian Phases . . . . . . . . . . . . 702--728 Uwe Franz and Volkmar Liebscher and Stefan Zeiser Piecewise-Deterministic Markov Processes As Limits of Markov Jump Processes . . . 729--748 Alexandre Genadot and Mich\`ele Thieullen Averaging for a Fully Coupled Piecewise-Deterministic Markov Process in Infinite Dimensions . . . . . . . . . 749--773 François Dufour and M. Horiguchi and A. B. Piunovskiy The Expected Total Cost Criterion for Markov Decision Processes Under Constraints: a Convex Analytic Approach 774--793 Rajat Subhra Hazra and Krishanu Maulik Tail Behavior of Randomly Weighted Sums 794--814 Jingchen Liu and Xuan Yang The Convergence Rate and Asymptotic Distribution of the Bootstrap Quantile Variance Estimator for Importance Sampling . . . . . . . . . . . . . . . . 815--841 Zhiyi Chi On Exact Sampling of Nonnegative Infinitely Divisible Random Variables 842--873 Michel Dekking and Derong Kong A Simple Stochastic Kinetic Transport Model . . . . . . . . . . . . . . . . . 874--885 Jiaqin Wei and Rongming Wang and Hailiang Yang On the Optimal Dividend Strategy in a Regime-Switching Diffusion Model . . . . 886--906
Ery Arias-Castro and Bruno Pelletier and Pierre Pudlo The Normalized Graph Cut and Cheeger Constant: from Discrete to Continuous 907--937 M. Reitzner and E. Spodarev and D. Zaporozhets Set Reconstruction by Voronoi Cells . . 938--953 M. Riplinger and M. Spiess Asymptotic Properties of the Approximate Inverse Estimator for Directional Distributions . . . . . . . . . . . . . 954--976 Joaquin Fontbona and Hél\`ene Guérin and Florent Malrieu Quantitative Estimates for the Long-Time Behavior of an Ergodic Variant of the Telegraph Process . . . . . . . . . . . 977--994 Souvik Ghosh and Soumyadip Ghosh A Strong Law for the Rate of Growth of Long Latency Periods in a Cloud Computing Service . . . . . . . . . . . 995--1017 Alessandro Andreoli and Francesco Caravenna and Paolo Dai Pra and Gustavo Posta Scaling and Multiscaling in Financial Series: a Simple Model . . . . . . . . . 1018--1051 Michael Kelly A Hierarchical Probability Model of Colon Cancer . . . . . . . . . . . . . . 1052--1083 Christoph Czichowsky and Martin Schweizer Convex Duality in Mean-Variance Hedging Under Convex Trading Constraints . . . . 1084--1112 Rafal Kulik and Philippe Soulier Limit Theorems for Long-Memory Stochastic Volatility Models with Infinite Variance: Partial Sums and Sample Covariances . . . . . . . . . . . 1113--1141 Mariana Olvera-Cravioto Asymptotics for Weighted Random Sums . . 1142--1172 Hock Peng Chan and Shaojie Deng and Tze-Leung Lai Rare-Event Simulation of Heavy-Tailed Random Walks by Sequential Importance Sampling and Resampling . . . . . . . . 1173--1196
James Burridge and Richard Cowan and Isaac Ma Full- and Half-Gilbert Tessellations with Rectangular Cells . . . . . . . . . 1--19 C. Hirsch and D. Neuhäuser and V. Schmidt Connectivity of Random Geometric Graphs Related to Minimal Spanning Forests . . 20--36 Jinghai Shao and Xiuping Wang Estimates of the Exit Probability for Two Correlated Brownian Motions . . . . 37--50 K. D. Glazebrook and D. J. Hodge and C. Kirkbride Monotone Policies and Indexability for Bidirectional Restless Bandits . . . . . 51--85 E. H. A. Dia Error Bounds for Small Jumps of Lévy Processes . . . . . . . . . . . . . . . 86--105 Predrag R. Jelenkovi\'c and Jian Tan Characterizing Heavy-Tailed Distributions Induced by Retransmissions 106--138 Bikramjit Das and Abhimanyu Mitra and Sidney Resnick Living on the Multidimensional Edge: Seeking Hidden Risks Using Regular Variation . . . . . . . . . . . . . . . 139--163 Pavel V. Gapeev and Albert N. Shiryaev Bayesian Quickest Detection Problems for Some Diffusion Processes . . . . . . . . 164--185 Sidney I. Resnick and David Zeber Asymptotics of Markov Kernels and the Tail Chain . . . . . . . . . . . . . . . 186--213 Nikolaos Limnios and Anatoliy Swishchuk Discrete-Time Semi-Markov Random Evolutions and Their Applications . . . 214--240 Fenglong Guo and Dingcheng Wang Finite- and Infinite-Time Ruin Probabilities with General Stochastic Investment Return Processes and Bivariate Upper Tail Independent and Heavy-Tailed Claims . . . . . . . . . . 241--273 F. Avram and A. J. E. M. Janssen and J. S. H. Van Leeuwaarden Loss Systems with Slow Retrials in the Halfin--Whitt Regime . . . . . . . . . . 274--294
Richard Cowan Line segments in the isotropic planar STIT tessellation . . . . . . . . . . . 295--311 Lothar Heinrich and Malte Spiess Central limit theorems for volume and surface content of stationary Poisson cylinder processes in expanding domains 312--331 Johan Tykesson and Pierre Calka Asymptotics of visibility in the hyperbolic plane . . . . . . . . . . . . 332--350 Ana Bu\vsi\'c and Varun Gupta and Jean Mairesse Stability of the bipartite matching model . . . . . . . . . . . . . . . . . 351--378 Shui Feng and Jie Xiong Asymptotic behavior of the Moran particle system . . . . . . . . . . . . 379--397 Jingchen Liu and Gongjun Xu On the density functions of integrals of Gaussian random fields . . . . . . . . . 398--424 James Allen Fill and Takehiko Nakama Distributional convergence for the number of symbol comparisons used by QuickSelect . . . . . . . . . . . . . . 425--450 Esther Frostig A Markov additive risk process with a dividend barrier . . . . . . . . . . . . 451--489 Xianping Guo and Mantas Vykertas and Yi Zhang Absorbing continuous-time Markov decision processes with total cost criteria . . . . . . . . . . . . . . . . 490--519 M. Jirak Limit theorems for aggregated linear processes . . . . . . . . . . . . . . . 520--544 F. E. Benth and L. Vos Cross-commodity spot price modeling with stochastic volatility and leverage for energy markets . . . . . . . . . . . . . 545--571 F. E. Benth and L. Vos Pricing of forwards and options in a multivariate non-Gaussian stochastic volatility model for energy markets . . 572--594
Mikko Kuronen and Lasse Leskelä Hard-core thinnings of germ--grain models with power-law grain sizes . . . 595--625 Ond\vrej \vSedivý and Jakub Stanek and Bla\vzena Kratochvílová and Viktor Bene\vs Sliced inverse regression and independence in random marked sets with covariates . . . . . . . . . . . . . . . 626--644 Guodong Pang and David D. Yao Heavy-traffic limits for a many-server queueing network with switchover . . . . 645--672 Osman T. Akgun and Rhonda Righter and Ronald Wolff Partial flexibility in routeing and scheduling . . . . . . . . . . . . . . . 673--691 H. K. Alexander Conditional distributions and waiting times in multitype branching processes 692--718 Gerold Alsmeyer and Sören Gröttrup A host-parasite model for a two-type cell population . . . . . . . . . . . . 719--741 G. N. Milstein and M. V. Tretyakov Probabilistic methods for the incompressible Navier--Stokes equations with space periodic conditions . . . . . 742--772 S. Juneja and M. Mandjes Overlap problems on the circle . . . . . 773--790 Soufiane Aazizi Discrete-time approximation of decoupled forward--backward stochastic differential equations driven by pure jump Lévy processes . . . . . . . . . . . 791--821 Pierre Collet and Servet Martínez and Sylvie Méléard and Jaime San Martín Stochastic models for a chemostat and long-time behavior . . . . . . . . . . . 822--837 François Dufour and A. B. Piunovskiy The expected total cost criterion for Markov decision processes under constraints . . . . . . . . . . . . . . 837--859 Martin Forde and Andrey Pogudin and Hongzhong Zhang Hitting times, occupation times, trivariate laws and the forward Kolmogorov equation for a one-dimensional diffusion with memory 860--875 Nathan Ross Power laws in preferential attachment graphs and Stein's method for the negative binomial distribution . . . . . 876--893
François Baccelli and David Coupier and Viet Chi Tran Semi-infinite paths of the two-dimensional radial spanning tree . . 895--916 Christian Buchta Exact formulae for variances of functionals of convex hulls . . . . . . 917--924 Ó. Thórisdóttir and M. Kiderlen Wicksell's problem in local stereology 925--944 Konrad Abramowicz and Oleg Seleznjev Piecewise-multilinear interpolation of a random field . . . . . . . . . . . . . . 945--959 Ana Bu\vsi\'c and Jean Mairesse and Ir\`ene Marcovici Probabilistic cellular automata, invariant measures, and perfect sampling 960--980 A. D. Barbour and G. Reinert Asymptotic behaviour of gossip processes and small-world networks . . . . . . . . 981--1010 Jorge Navarro and Francisco J. Samaniego and N. Balakrishnan Mixture representations for the joint distribution of lifetimes of two coherent systems with shared components 1011--1027 Mitsushi Tamaki Optimal stopping rule for the no-information duration problem with random horizon . . . . . . . . . . . . . 1028--1048 Bin Li and Xiaowen Zhou The joint Laplace transforms for diffusion occupation times . . . . . . . 1049--1067 S. Hautphenne and G. Latouche and G. Nguyen Extinction probabilities of branching processes with countably infinitely many types . . . . . . . . . . . . . . . . . 1068--1082 Sergey Foss and Stan Zachary Stochastic sequences with a regenerative structure that may depend both on the future and on the past . . . . . . . . . 1083--1110 Irene Crimaldi and Antonio Di Crescenzo and Antonella Iuliano and Barbara Martinucci A generalized telegraph process with velocity driven by random trials . . . . 1111--1136 Saul C. Leite and Marcelo D. Fragoso Reducing response time in fork-join systems under heavy traffic via imbalance control . . . . . . . . . . . 1137--1156 N. Lanchier Stochastic spatial model of producer-consumer systems on the lattice 1157--1181 N. Lanchier The role of dispersal in interacting patches subject to an Allee effect . . . 1182--1197 Anonymous \booktitleAdvances in Applied Probability Volume 45 (2013): Index General Applied Probability . . . . . . 1198--1200 Anonymous \booktitleAdvances in Applied Probability Volume 45 (2013): Index Stochastic Geometry and Statistical Applications . . . . . . . . . . . . . . 1201
Bart\lomiej B\laszczyszyn and D. Yogeshwaran On comparison of clustering properties of point processes . . . . . . . . . . . 1--20 Kaspar Stucki and Dominic Schuhmacher Bounds for the probability generating functional of a Gibbs point process . . 21--34 Anne Marie Svane Local digital estimators of intrinsic volumes for Boolean models and in the design-based setting . . . . . . . . . . 35--58 Matthieu Jonckheere and Seva Shneer Stability of multi-dimensional birth-and-death processes with state-dependent $0$-homogeneous jumps 59--75 Maria Remerova and Sergey Foss and Bert Zwart Random fluid limit of an overloaded polling model . . . . . . . . . . . . . 76--101 Jukka Lempa Bounded variation control of Itô diffusions with exogenously restricted intervention times . . . . . . . . . . . 102--120 Ulrich Rieder and Marc Wittlinger On optimal terminal wealth problems with random trading times and drawdown constraints . . . . . . . . . . . . . . 121--138 Masahiko Egami and Kazutoshi Yamazaki On the continuous and smooth fit principle for optimal stopping problems in spectrally negative Lévy models . . . 139--167 Toshio Nakata The number of collisions for the occupancy problem with unequal probabilities . . . . . . . . . . . . . 168--185 Laura Sacerdote and Ottavia Telve and Cristina Zucca Joint densities of first hitting times of a diffusion process through two time-dependent boundaries . . . . . . . 186--202 Ravi Kalpathy and Hosam Mahmoud Perpetuities in fair leader election algorithms . . . . . . . . . . . . . . . 203--216 Yan-Xia Ren and Ting Yang Multitype branching Brownian motion and traveling waves . . . . . . . . . . . . 217--240 Peter Neal Endemic behaviour of SIS epidemics with general infectious period distributions 241--255 Daniela Bertacchi and Fábio Prates Machado and Fabio Zucca Local and global survival for nonhomogeneous random walk systems on $Z$ . . . . . . . . . . . . . . . . . . 256--278 Alexandros Beskos and Dan O. Crisan and Ajay Jasra and Nick Whiteley Error bounds and normalising constants for sequential Monte Carlo samplers in high dimensions . . . . . . . . . . . . 279--306
Ge Chen and Changlong Yao and Tiande Guo The asymptotic size of the largest component in random geometric graphs with some applications . . . . . . . . . 307--324 L. Decreusefond and E. Ferraz and H. Randriambololona and A. Vergne Simplicial homology of random configurations . . . . . . . . . . . . . 325--347 Günter Last and Mathew D. Penrose and Matthias Schulte and Christoph Thäle Moments and central limit theorems for some multivariate Poisson functionals 348--364 Masahiro Kobayashi and Masakiyo Miyazawa Tail asymptotics of the stationary distribution of a two-dimensional reflecting random walk with unbounded upward jumps . . . . . . . . . . . . . . 365--399 Daniela Bertacchi and Fabio Zucca Strong local survival of branching random walks is not monotone . . . . . . 400--421 Galin L. Jones and Gareth O. Roberts and Jeffrey S. Rosenthal Convergence of conditional Metropolis--Hastings samplers . . . . . 422--445 Camille Coron Stochastic modeling of density-dependent diploid populations and the extinction vortex . . . . . . . . . . . . . . . . . 446--477 Sebastian Engelke and Alexander Malinowski and Marco Oesting and Martin Schlather Statistical inference for max-stable processes by conditioning on extreme events . . . . . . . . . . . . . . . . . 478--495 Alexander Gnedin and Alexander Iksanov and Alexander Marynych and Martin Möhle On asymptotics of the beta coalescents 496--515 Mathieu Feuillet and Philippe Robert A scaling analysis of a transient stochastic network . . . . . . . . . . . 516--535 Alessandro Arlotto and J. Michael Steele Optimal online selection of an alternating subsequence: a central limit theorem . . . . . . . . . . . . . . . . 536--559 Eric Foxall Convergence and monotonicity for a model of spontaneous infection and transmission . . . . . . . . . . . . . . 560--584 Li-Xin Zhang and Feifang Hu and Siu Hung Cheung and Wai Sum Chan Asymptotic properties of multicolor randomly reinforced Pólya urns . . . . . 585--602
D. Coupier and Yu. Davydov Random symmetrizations of convex bodies 603--621 Julia Hörrmann and Daniel Hug On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations . . . . . . . . . . . . . 622--642 Servet Martínez and Werner Nagel STIT tessellations have trivial tail $ \sigma $-algebra . . . . . . . . . . . . 643--660 Olivier Garet and Régine Marchand Growth of a population of bacteria in a dynamical hostile environment . . . . . 661--686 Elisabeth Bauernschubert Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks . . 687--703 Rui Chen and Ollivier Hyrien On classes of equivalence and identifiability of age-dependent branching processes . . . . . . . . . . 704--718 Ole E. Barndorff-Nielsen and Fred Espen Benth and Almut E. D. Veraart Modelling electricity futures by ambit fields . . . . . . . . . . . . . . . . . 719--745 Erik Ekström and Bing Lu The optimal dividend problem in the dual model . . . . . . . . . . . . . . . . . 746--765 Ning Cai and S. G. Kou and Zongjian Liu A two-sided Laplace inversion algorithm with computable error bounds and its applications in financial engineering 766--789 Dominic Edelmann and Cornelia Wichelhaus Nonparametric inference for queueing networks of GEOM$^X$ /G/$ \infty $ queues in discrete time . . . . . . . . 790--811 E. S. Badila and O. J. Boxma and J. A. C. Resing and E. M. M. Winands Queues and risk models with simultaneous arrivals . . . . . . . . . . . . . . . . 812--831 Naoto Miyoshi and Tomoyuki Shirai A cellular network model with Ginibre configured base stations . . . . . . . . 832--845 Vicky Fasen Limit theory for high frequency sampled MCARMA models . . . . . . . . . . . . . 846--877 Mátyás Barczy and Leif Döring and Zenghu Li and Gyula Pap Stationarity and ergodicity for an affine two-factor model . . . . . . . . 878--898
F. Fodor and P. Kevei and V. Vígh On random disc polygons in smooth convex discs . . . . . . . . . . . . . . . . . 899--918 Daniel Hug and Rolf Schneider Approximation properties of random polytopes associated with Poisson hyperplane processes . . . . . . . . . . 919--936 Daniel Hug and Günter Last and Zbyn\bök Pawlas and Wolfgang Weil Statistics for Poisson models of overlapping spheres . . . . . . . . . . 937--962 Zhiyi Chi Nonnormal small jump approximation of infinitely divisible distributions . . . 963--984 Emilie Coupechoux and Marc Lelarge How clustering affects epidemics in random networks . . . . . . . . . . . . 985--1008 Robert C. Griffiths The $ \Lambda $--Fleming--Viot process and a connection with Wright--Fisher diffusion . . . . . . . . . . . . . . . 1009--1035 Lo\"\ic Hervé and James Ledoux Spectral analysis of Markov kernels and application to the convergence rate of discrete random walks . . . . . . . . . 1036--1058 Qifan Song and Mingqi Wu and Faming Liang Weak convergence rates of population versus single-chain stochastic approximation MCMC algorithms . . . . . 1059--1083 Ieva Grublyte and Donatas Surgailis Projective stochastic equations and nonlinear long memory . . . . . . . . . 1084--1105 Ma\lgorzata Kuchta and Michal Morayne Monotone case for an extended process 1106--1125 Alberto Chiarini and Markus Fischer On large deviations for small noise Itô processes . . . . . . . . . . . . . . . 1126--1147 Ji Hwan Cha Characterization of the generalized Pólya process and its applications . . . . . . 1148--1171 Alexander D. Kolesnik Probability distribution function for the Euclidean distance between two telegraph processes . . . . . . . . . . 1172--1193 Anonymous Advances in Applied Probability Volume 46 (2014): Index General Applied Probability . . . . . . . . . . . . . . ?? Anonymous Advances in Applied Probability Volume 46 (2014): Index Stochastic Geometry and Statistical Applications . . . . . . . . ??
Venkat Anantharam and François Baccelli Capacity and error exponents of stationary point processes under random additive displacements . . . . . . . . . 1--26 Stefan Steinerberger New bounds for the traveling salesman constant . . . . . . . . . . . . . . . . 27--36 Louigi Addario-Berry and Tao Lei The mixing time of the Newman--Watts small-world model . . . . . . . . . . . 37--56 Michael Grinfeld and Stanislav Volkov and Andrew R. Wade Convergence in a multidimensional randomized Keynesian beauty contest . . 57--82 Hiroyuki Masuyama Error bounds for augmented truncations of discrete-time block-monotone Markov chains under geometric drift conditions 83--105 François Dufour and Alexei B. Piunovskiy Impulsive control for continuous-time Markov decision processes . . . . . . . 106--127 Kamille Sofie Tågholt Gad and Jesper Lund Pedersen Variance optimal stopping for geometric Lévy processes . . . . . . . . . . . . . 128--145 Hironobu Sakagawa Persistence probability for a class of Gaussian processes related to random interface models . . . . . . . . . . . . 146--163 Ghurumuruhan Ganesan Infection spread in random geometric graphs . . . . . . . . . . . . . . . . . 164--181 Daniel Ahlberg Asymptotics of first-passage percolation on one-dimensional graphs . . . . . . . 182--209 Hongzhong Zhang Occupation times, drawdowns, and drawups for one-dimensional regular diffusions 210--230 D. J. Daley and Johan S. H. Van Leeuwaarden and Yoni Nazarathy BRAVO for many-server QED systems with finite buffers . . . . . . . . . . . . . 231--250 A. L. Stolyar Diffusion-scale tightness of invariant distributions of a large-scale flexible service system . . . . . . . . . . . . . 251--269 Xiaohu Li and Yinping You Permutation monotone functions of random vectors with applications in financial and actuarial risk management . . . . . 270--291 Richard Arratia and Stephen DeSalvo On the random sampling of pairs, with pedestrian examples . . . . . . . . . . 292--305
Linda V. Hansen and Thordis L. Thorarinsdottir and Evgeni Ovcharov and Tilmann Gneiting and Donald Richards Gaussian random particles with flexible Hausdorff dimension . . . . . . . . . . 307--327 C. Hirsch and D. Neuhäuser and C. Gloaguen and V. Schmidt First passage percolation on random geometric graphs and an application to shortest-path trees . . . . . . . . . . 328--354 Qian Lin Nash equilibrium payoffs for stochastic differential games with two reflecting barriers . . . . . . . . . . . . . . . . 355--377 B. Eriksson and M. R. Pistorius American option valuation under continuous-time Markov chains . . . . . 378--401 Pawel Lorek and Ryszard Szekli Computable bounds on the spectral gap for unreliable Jackson networks . . . . 402--424 Predrag R. Jelenkovi\'c and Evangelia D. Skiani Distribution of the number of retransmissions of bounded documents . . 425--449 A. J. E. M. Janssen and J. S. H. van Leeuwaarden Staffing many-server systems with admission control and retrials . . . . . 450--475 Amarjit Budhiraja and Vladas Pipiras and Xiaoming Song Admission control for multidimensional workload input with heavy tails and fractional Ornstein--Uhlenbeck process 476--505 Ji Hwan Cha and Gianpaolo Pulcini Burn-in procedure based on a dependent covariate process . . . . . . . . . . . 506--529 Serik Sagitov and Maria Conceição Serra Skeletons of near-critical Bienaym\'e--Galton--Watson branching processes . . . . . . . . . . . . . . . 530--544 Sana Louhichi and Bernard Ycart Exponential growth of bifurcating processes with ancestral dependence . . 545--564 Jonathan Jordan and Andrew R. Wade Phase transitions for random geometric preferential attachment graphs . . . . . 565--588 István Kolossváry and Júlia Komjáthy First passage percolation on inhomogeneous random graphs . . . . . . 589--610
Bruno Galerne and Raphael Lachi\`eze-Rey Random measurable sets and covariogram realizability problems . . . . . . . . . 611--639 Werner Nagel and Eike Biehler Consistency of constructions for cell division processes . . . . . . . . . . . 640--651 D. J. Hodge and K. D. Glazebrook On the asymptotic optimality of greedy index heuristics for multi-action restless bandits . . . . . . . . . . . . 652--667 N. Lanchier and N. Taylor Galam's bottom-up hierarchical system and public debate model revisited . . . 668--692 Jean-Stéphane Dhersin and Linglong Yuan On the total length of external branches for beta-coalescents . . . . . . . . . . 693--714 Florian Simatos State space collapse for critical multistage epidemics . . . . . . . . . . 715--740 Xinxin Chen A necessary and sufficient condition for the nontrivial limit of the derivative martingale in a branching random walk 741--760 Jose Blanchet and Jing Dong Perfect sampling for infinite server and loss systems . . . . . . . . . . . . . . 761--786 Xiaoou Li and Jingchen Liu Rare-event simulation and efficient discretization for the supremum of Gaussian random fields . . . . . . . . . 787--816 Huei-Wen Teng and Ming-Hsuan Kang and Cheng-Der Fuh On spherical Monte Carlo simulations for multivariate normal probabilities . . . 817--836 Antoine Jacquier and Matthew Lorig From characteristic functions to implied volatility expansions . . . . . . . . . 837--857 Nicholas R. Peterson and Boris Pittel Distance between two random $k$-out digraphs, with and without preferential attachment . . . . . . . . . . . . . . . 858--879 Bernard Bercu and Adrien Richou Large deviations for the Ornstein--Uhlenbeck process with shift 880--901 Huijie Qiao and Jinqiao Duan Nonlinear filtering of stochastic dynamical systems with Lévy noises . . . 902--918
Nicolas Privault Laplace transform identities for the volume of stopping sets based on Poisson point processes . . . . . . . . . . . . 919--933 Aihua Xia and J. E. Yukich Normal approximation for statistics of Gibbsian input in geometric probability 934--972 Emilie Coupechoux and Marc Lelarge Contagions in random networks with overlapping communities . . . . . . . . 973--988 P. Vis and R. Bekker and R. D. van der Mei Heavy-traffic limits for polling models with exhaustive service and non-FCFS service order policies . . . . . . . . . 989--1014 A. B. Dieker and T. Suk Randomized longest-queue-first scheduling for large-scale buffered systems . . . . . . . . . . . . . . . . 1015--1038 Stephen B. Connor and Wilfrid S. Kendall Perfect simulation of M/G/c queues . . . 1039--1063 Xianping Guo and Xiangxiang Huang and Yonghui Huang Finite-horizon optimality for continuous-time Markov decision processes with unbounded transition rates . . . . . . . . . . . . . . . . . 1064--1087 H. Blok and F. M. Spieksma Countable state Markov decision processes with unbounded jump rates and discounted cost: optimality equation and approximations . . . . . . . . . . . . . 1088--1107 Claudia Klüppelberg and Muneya Matsui Generalized fractional Lévy processes with fractional Brownian motion limit 1108--1131 Grigori N. Milstein and John Schoenmakers Uniform approximation of the Cox--Ingersoll--Ross process . . . . . . 1132--1156 Jafar Ahmadi and Antonio Di Crescenzo and Maria Longobardi On dynamic mutual information for bivariate lifetimes . . . . . . . . . . 1157--1174 Raúl Gouet and F. Javier López and Gerardo Sanz Records from stationary observations subject to a random trend . . . . . . . 1175--1189 A. D. Barbour and K. Hamza and Haya Kaspi and F. C. Klebaner Escape from the boundary in Markov population processes . . . . . . . . . . 1190--1211 Erik J. Baurdoux and Nan Chen and Budhi A. Surya and Kazutoshi Yamazaki Optimal double stopping of a Brownian bridge . . . . . . . . . . . . . . . . . 1212--1234 Anonymous Advances in Applied Probability Volume 47 (2015): Index General Applied Probability . . . . . . . . . . . . . . 1235--1237 Anonymous Advances in Applied Probability Volume 47 (2015): Index Stochastic Geometry and Statistical Applications . . . . . . . . 1238
Amites Sarkar Secrecy coverage in two dimensions . . . 1--12 R. J. Maillardet and P. G. Taylor Queues with advanced reservations: an infinite-server proxy for the bookings diary . . . . . . . . . . . . . . . . . 13--31 Eric Foxall Duality and complete convergence for multi-type additive growth models . . . 32--51 Mitsushi Tamaki Optimal stopping rule for the full-information duration problem with random horizon . . . . . . . . . . . . . 52--68 Hock Peng Chan and Chiang-Wee Heng and Ajay Jasra Theory of segmented particle filters . . 69--87 Francisco J. Samaniego and Jorge Navarro On comparing coherent systems with heterogeneous components . . . . . . . . 88--111 Zi Ding and Ilya O. Ryzhov Optimal learning with non-Gaussian rewards . . . . . . . . . . . . . . . . 112--136 Alberto Gandolfi and Lorenzo Cecconi SIR epidemics on a scale-free spatial nested modular network . . . . . . . . . 137--162 Panpan Zhang and Hosam Mahmoud The degree profile and weight in Apollonian networks and $k$-trees . . . 163--175 Hans Daduna and Ryszard Szekli Correlation formulas for Markovian network processes in a random environment . . . . . . . . . . . . . . 176--198 Werner R. W. Scheinhardt and Dirk P. Kroese A comparison of random walks in dependent random environments . . . . . 199--214 Ross G. Pinsky The speed of a random walk excited by its recent history . . . . . . . . . . . 215--234 G. Huang and H. M. Jansen and M. Mandjes and P. Spreij and K. De Turck Markov-modulated Ornstein--Uhlenbeck processes . . . . . . . . . . . . . . . 235--254 Bernd Heidergott and Haralambie Leahu and Andreas Löpker and Georg Pflug Perturbation analysis of inhomogeneous finite Markov chains . . . . . . . . . . 255--273 Hél\`ene Guérin and Jean-François Renaud Joint distribution of a spectrally negative Lévy process and its occupation time, with step option pricing in view 274--297 Giorgio Ferrari and Paavo Salminen Irreversible investment under Lévy uncertainty: an equation for the optimal boundary . . . . . . . . . . . . . . . . 298--314
Ruslan Krenzler and Hans Daduna and Sonja Otten Jackson networks in nonautonomous random environments . . . . . . . . . . . . . . 315--331 Bo H. Lindqvist and Francisco J. Samaniego and Arne B. Huseby On the equivalence of systems of different sizes, with applications to system comparisons . . . . . . . . . . . 332--348 Michael A. Kouritzin and Samira Sadeghi Marcinkiewicz law of large numbers for outer products of heavy-tailed, long-range dependent data . . . . . . . 349--368 Jérôme Casse Probabilistic cellular automata with general alphabets possessing a Markov chain as an invariant distribution . . . 369--391 Iker Perez and David Hodge and Huiling Le Markov decision process algorithms for wealth allocation problems with defaultable bonds . . . . . . . . . . . 392--405 Jinxia Zhu and Hailiang Yang Optimal financing and dividend distribution in a general diffusion model with regime switching . . . . . . 406--422 Kristian Buchardt Continuous affine processes: transformations, Markov chains and life insurance . . . . . . . . . . . . . . . 423--442 Ji Hwan Cha and Massimiliano Giorgio On a class of multivariate counting processes . . . . . . . . . . . . . . . 443--462 Alexandre Boumezoued Population viewpoint on Hawkes processes 463--480 Enzo Orsingher and Costantino Ricciuti and Bruno Toaldo Population models at stochastic times 481--498 Ningyuan Chen and Mariana Olvera-Cravioto Coupling on weighted branching trees . . 499--524 François Baccelli and Héctor A. Chang-Lara and Sergey Foss Shape theorems for Poisson hail on a bivariate ground . . . . . . . . . . . . 525--543 Nicolas Chenavier and Ross Hemsley Extremes for the inradius in the Poisson line tessellation . . . . . . . . . . . 544--573 James Burridge and Richard Cowan Planar tessellations that have the half-Gilbert structure . . . . . . . . . 574--584 Hüseyin Acan and Pawel Hitczenko On a memory game and preferential attachment graphs . . . . . . . . . . . 585--609 Ilie Grigorescu and Yi-Ching Yao Maximizing the variance of the time to ruin in a multiplayer game with selection . . . . . . . . . . . . . . . 610--630
Gary Froyland and Robyn M. Stuart Cheeger inequalities for absorbing Markov chains . . . . . . . . . . . . . 631--647 Mauro Mariani and Lorenzo Zambotti Large deviations for the empirical measure of heavy-tailed Markov renewal processes . . . . . . . . . . . . . . . 648--671 Hui He Marcinkiewicz law of large numbers for outer products of heavy-tailed, long-range dependent data . . . . . . . 672--690 Luisa Beghin and Claudio Macci Multivariate fractional Poisson processes and compound sums . . . . . . 691--711 Marie Kratz and Werner Nagel On the capacity functional of excursion sets of Gaussian random fields on $ R^2 $ . . . . . . . . . . . . . . . . . . . 712--725 Mitsushi Tamaki Urn sampling distributions giving alternate correspondences between two optimal stopping problems . . . . . . . 726--743 Clifford Hurvich and Josh Reed Series expansions for the all-time maximum of $ \alpha $-stable random walks . . . . . . . . . . . . . . . . . 744--767 Claude Lef\`evre and Massimiliano Giorgio SIR epidemics with stages of infection 768--791 J. Blanchet and P. Glynn and S. Zheng Analysis of a stochastic approximation algorithm for computing quasi-stationary distributions . . . . . . . . . . . . . 792--811 Guodong Pang and Yuhang Zhou G/G/$ \infty $ queues with renewal alternating interruptions . . . . . . . 812--831 R. Martyr Dynamic programming for discrete-time finite-horizon optimal switching problems with negative switching costs 832--847 J. Díaz and D. Mitsche and G. Perarnau and X. Pérez-Giménez On the relation between graph distance and Euclidean distance in random geometric graphs . . . . . . . . . . . . 848--864 István Kolossváry and Júlia Komjáthy and Lajos Vágó Degrees and distances in random and evolving Apollonian networks . . . . . . 865--902 Harri Nyrhinen On real growth and run-off companies in insurance ruin theory . . . . . . . . . 903--925 Yan Dolinsky and Yuri Kifer Risk minimization for game options in markets imposing minimal transaction costs . . . . . . . . . . . . . . . . . 926--946
Bruno Galerne Random fields of bounded variation and computation of their variation intensity 947--971 Etienne Adam Criterion for unlimited growth of critical multidimensional stochastic models . . . . . . . . . . . . . . . . . 972--988 Gugan C. Thoppe and D. Yogeshwaran and Robert J. Adler On the evolution of topology in dynamic clique complexes . . . . . . . . . . . . 989--1014 Rudger Rüschendorf and Alexander Schnurr and Victor Wolf Comparison of time-inhomogeneous Markov processes . . . . . . . . . . . . . . . 1015--1044 Steven Kou and Haowen Zhong First-passage times of two-dimensional Brownian motion . . . . . . . . . . . . 1045--1060 Christian Hirsch and Benedikt Jahnel and Paul Keeler and Robert I. A. Patterson Large deviation principles for connectable receivers in wireless networks . . . . . . . . . . . . . . . . 1061--1094 Grigori N. Milstein and John Schoenmakers Uniform approximation of the Cox--Ingersoll--Ross process via exact simulation at random times . . . . . . . 1095--1116 Alexander Goldenschluger Nonparametric estimation of the service time distribution in the M/G/$ \infty $ queue . . . . . . . . . . . . . . . . . 1117--1138 Onno Boxma and Rim Essifi and Augustus J. E. M. Janssen A queueing/inventory and an insurance risk model . . . . . . . . . . . . . . . 1139--1160 Shangzhen Luo A stochastic differential game for quadratic--linear diffusion processes 1161--1182 Vincent Bansaye and Sylvie Méléard and Richard Mathieu Speed of coming down from infinity for birth-and-death processes . . . . . . . 1183--1210 Irene Hueter Branching processes in generalized autoregressive conditional environments 1211--1234 Daniel Va\vsata On long-range dependence of random measures . . . . . . . . . . . . . . . . 1235--1255 Michael Schrempp The limit distribution of the largest interpoint distance for distributions supported by a $d$-dimensional ellipsoid and generalizations . . . . . . . . . . 1256--1270
Christoph Hofer-Temmel Shearer's point process, the hard-sphere model, and a continuum Lovász local lemma 1--23 Alexandros Beskos and Dan Crisan and Ajay Jasra and Kengo Kamatani and Yan Zhou A stable particle filter for a class of high-dimensional state-space models . . 24--48 Anshui Li and Tobias Müller On the treewidth of random geometric graphs and percolated grids . . . . . . 49--60 A. L. Stolyar Large-scale heterogeneous service systems with general packing constraints 61--83 Pierre Hodara and Eva Löcherbach Hawkes processes with variable length memory and an infinite number of components . . . . . . . . . . . . . . . 84--107 Harry Crane Generalized Markov branching trees . . . 108--133 I. Papastathopoulos and K. Strokorb and J. A. Tawn and A. Butler Extreme events of Markov chains . . . . 134--161 Chang-Song Deng and René L. Schilling and Yan-Hong Song Subgeometric rates of convergence for Markov processes under subordination . . 162--181 Masakiyo Miyazawa A unified approach for large queue asymptotics in a heterogeneous multiserver queue . . . . . . . . . . . 182--220 Florin Avram and Andreea Minca On the central management of risk networks . . . . . . . . . . . . . . . . 221--237 Sören Christensen and Paavo Salminen Impulse control and expected suprema . . 238--257 P. Alonso-Ruiz and E. Spodarev Estimation of entropy for Poisson marked point processes . . . . . . . . . . . . 258--278 Rebekka Brink-Spalink and Charline Smadi Genealogies of two linked neutral loci after a selective sweep in a large population of stochastically varying size . . . . . . . . . . . . . . . . . . 279--326 Anonymous APR volume 49 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous APR volume 49 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Arka Ghosh and Steven Noren and Alexander Roitershtein On the range of the transient frog model on $ \mathbb {Z} $ . . . . . . . . . . . 327--343 Elma Nassar and Etienne Pardoux On the large-time behaviour of the solution of a stochastic differential equation driven by a Poisson point process . . . . . . . . . . . . . . . . 344--367 Erol Peköz and Adrian Röllin and Nathan Ross Joint degree distributions of preferential attachment random graphs 368--387 Philip A. Ernst and Ilie Grigorescu Asymptotics for the time of ruin in the war of attrition . . . . . . . . . . . . 388--410 Ross A. Maller and Peter C. Schmidli Small-time almost-sure behaviour of extremal processes . . . . . . . . . . . 411--429 Natalie Attard Nash equilibrium in nonzero-sum games of optimal stopping for Brownian motion . . 430--445 Dan Pirjol and Lingjiong Zhu Asymptotics for the discrete-time average of the geometric Brownian motion and Asian options . . . . . . . . . . . 446--480 Yunpeng Sun and Rafael Mendoza-Arriaga and Vadim Linetsky Marshall-Olkin distributions, subordinators, efficient simulation, and applications to credit risk . . . . . . 481--514 Hansjörg Albrecher and Pablo Azcue and Nora Muler Optimal dividend strategies for two collaborating insurance companies . . . 515--548 Bertrand Cloez Limit theorems for some branching measure-valued processes . . . . . . . . 549--580 Shui Feng and Fuqing Gao and Youzhou Zhou Limit theorems associated with the Pitman--Yor process . . . . . . . . . . 581--602 Ramtin Pedarsani and Jean Walrand and Yuan Zhong Robust scheduling for flexible processing networks . . . . . . . . . . 603--628 Christine Fricker and Fabrice Guillemin and Philippe Robert and Guilherme Thompson Allocation schemes of resources with downgrading . . . . . . . . . . . . . . 629--651 Anonymous APR volume 49 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 49 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Christophette Blanchet-Scalliet and Caroline Hillairet and Ying Jiao Successive enlargement of filtrations and application to insider information 653--685 Lennart Gulikers and Marc Lelarge and Laurent Massoulié A spectral method for community detection in moderately sparse degree-corrected stochastic block models 686--721 Timo Hirscher Overly determined agents prevent consensus in a generalized Deffuant model on $ \mathbb {Z} $ with dispersed opinions . . . . . . . . . . . . . . . . 722--744 Herbert Edelsbrunner and Anton Nikitenko and Matthias Reitzner Expected sizes of Poisson--Delaunay mosaics and their discrete Morse functions . . . . . . . . . . . . . . . 745--767 Nicolas Gast and Bruno Gaujal Computing absorbing times via fluid approximations . . . . . . . . . . . . . 768--790 Joris Bierkens and Andrew Duncan Limit theorems for the zig-zag process 791--825 Prasenjit Mondal On zero-sum two-person undiscounted semi-Markov games with a multichain structure . . . . . . . . . . . . . . . 826--849 Miklós Bóna and Boris Pittel On a random search tree: asymptotic enumeration of vertices by distance from leaves . . . . . . . . . . . . . . . . . 850--876 Erich Baur and Jean Bertoin Weak limits for the largest subpopulations in Yule processes with high mutation probabilities . . . . . . 877--902 Raphaël Cerf The quasispecies regime for the simple genetic algorithm with roulette wheel selection . . . . . . . . . . . . . . . 903--926 Han L. Gan and Adrian Röllin and Nathan Ross Dirichlet approximation of equilibrium distributions in Cannings models with mutation . . . . . . . . . . . . . . . . 927--959 A. Griffin and P. A. Jenkins and G. O. Roberts and S. E. F. Spencer Simulation from quasi-stationary distributions on reducible state spaces 960--980 Anonymous APR volume 49 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 49 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Paul Dupuis and Dane Johnson Moderate deviations-based importance sampling for stochastic recursive equations . . . . . . . . . . . . . . . 981--1010 Zimeng Wang and David J. Hodge and Huiling Le Conjugate duality in stochastic controls with delay . . . . . . . . . . . . . . . 1011--1036 Krzysztof D\kebicki and Enkelejd Hashorva and Peng Liu Uniform tail approximation of homogeneous functionals of Gaussian fields . . . . . . . . . . . . . . . . . 1037--1066 Nicolás García Trillos and Dejan Slepcev and James von Brecht Estimating perimeter using graph cuts 1067--1090 Christian Hirsch and Benedikt Jahnel and Paul Keeler and Robert I. A. Patterson Traffic flow densities in large transport networks . . . . . . . . . . . 1091--1115 Sören Christensen and Albrecht Irle and Andreas Ludwig Optimal portfolio selection under vanishing fixed transaction costs . . . 1116--1143 Peng Jin and Jonas Kremer and Barbara Rüdiger Exponential ergodicity of an affine two-factor model based on the $ \alpha $-root process . . . . . . . . . . . . . 1144--1169 Dan Crisan and Joaquín Míguez Uniform convergence over time of a nested particle filtering scheme for recursive parameter estimation in state-space Markov models . . . . . . . 1170--1200 Onur Gün and Atilla Yilmaz Fluid limit for the Poisson encounter-mating model . . . . . . . . . 1201--1229 Ramesh C. Gupta and David M. Bradley Asymptotic failure rates for a general class of frailty models . . . . . . . . 1230--1259 Günter Last and Sebastian Ziesche On the Ornstein--Zernike equation for stationary cluster processes and the random connection model . . . . . . . . 1260--1287 Evita Nestoridi A non-local random walk on the hypercube 1288--1299 Anonymous APR volume 49 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 49 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b6
R. D. Foley and D. R. McDonald Yaglom limits can depend on the starting state . . . . . . . . . . . . . . . . . 1--34 Nicolas Chenavier and Olivier Devillers Stretch factor in a planar Poisson-Delaunay triangulation with a large intensity . . . . . . . . . . . . 35--56 Hui Xu and Fengyang Cheng and Yuebao Wang and Dongya Cheng A necessary and sufficient condition for the subexponentiality of the product convolution . . . . . . . . . . . . . . 57--73 Viktor Bezborodov and Luca Di Persio and Tyll Krueger and Mykola Lebid and Tomasz Oza\'nski Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes . . . . 74--101 Thomas Flynn Forward sensitivity analysis for contracting stochastic systems . . . . . 102--130 Hiroaki Hata and Shuenn-Jyi Sheu An optimal consumption and investment problem with partial information . . . . 131--153 Thi Ngoc Minh Nguyen and Sylvain Le Corff and Eric Moulines On the two-filter approximations of marginal smoothing distributions in general state-space models . . . . . . . 154--177 Nicolas Champagnat and Denis Villemonais Uniform convergence of conditional distributions for absorbed one-dimensional diffusions . . . . . . . 178--203 Rolando Cavazos-Cadena and Daniel Hernández-Hernández Vanishing discount approximations in controlled Markov chains with risk-sensitive average criterion . . . . 204--230 Pierre Houdebert Percolation results for the continuum random cluster model . . . . . . . . . . 231--244 Matthew I. Roberts The probability of unusually large components in the near-critical Erd\Hos--Rényi graph . . . . . . . . . . 245--271 David Aristoff and Lingjiong Zhu On the phase transition curve in a directed exponential random graph model 272--301 Thomas M. M. Meyfroyt Degree-dependent threshold-based random sequential adsorption on random trees 302--326 Anonymous APR volume 50 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous APR volume 50 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
David Stenlund On the Mabinogion urn model . . . . . . 327--346 Tiziano De Angelis and Giorgio Ferrari Stochastic nonzero-sum games: a new connection between singular control and optimal stopping . . . . . . . . . . . . 347--372 Dmitri Finkelshtein and Pasha Tkachov Kesten's bound for subexponential densities on the real line and its multi-dimensional analogues . . . . . . 373--395 Huijie Qiao Uniqueness for measure-valued equations of nonlinear filtering for stochastic dynamical systems with Lévy noise . . . . 396--413 Philip Kennerberg and Stanislav Volkov Jante's law process . . . . . . . . . . 414--439 Daniel Paulin and Ajay Jasra and Dan Crisan and Alexandros Beskos On concentration properties of partially observed chaotic systems . . . . . . . . 440--479 Rémi Lemonnier and Kevin Scaman and Nicolas Vayatis Spectral bounds in random graphs applied to spreading phenomena and percolation 480--503 Gautam Iyer and Nicholas Leger and Robert L. Pego Coagulation and universal scaling limits for critical Galton--Watson processes 504--542 Lo\"\ic Chaumont and Thi Ngoc Anh Nguyen On mutations in the branching model for multitype populations . . . . . . . . . 543--564 Hui He and Jingning Liu and Mei Zhang On Seneta--Heyde scaling for a stable branching random walk . . . . . . . . . 565--599 Elena Perfilev and Vitali Wachtel Local asymptotics for the area under the random walk excursion . . . . . . . . . 600--620 Christian Bayer and Hilmar Mai and John Schoenmakers Forward-reverse expectation-maximization algorithm for Markov chains: convergence and numerical analysis . . . . . . . . . 621--644 Yuanyuan Liu and Wendi Li Error bounds for augmented truncation approximations of Markov chains via the perturbation method . . . . . . . . . . 645--669 Anonymous APR volume 50 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 50 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Giorgio Ferrari and Shuzhen Yang On an optimal extraction problem with regime switching . . . . . . . . . . . . 671--705 Julie Fournier Identification and isotropy characterization of deformed random fields through excursion sets . . . . . 706--725 Wissem Jedidi and Stavros Vakeroudis Windings of planar processes, exponential functionals and Asian options . . . . . . . . . . . . . . . . 726--742 N. Lanchier and S. Reed The role of cooperation in spatially explicit economical systems . . . . . . 743--758 Matthew Coulson and Robert E. Gaunt and Gesine Reinert Compound Poisson approximation of subgraph counts in stochastic block models with multiple edges . . . . . . . 759--782 Yonghui Huang and Zhaotong Lian and Xianping Guo Risk-sensitive semi-Markov decision processes with general utilities and multiple criteria . . . . . . . . . . . 783--804 Bohan Chen and Chang-Han Rhee and Bert Zwart Importance sampling of heavy-tailed iterated random functions . . . . . . . 805--832 Romain Aza\"\is and Bernard Delyon and François Portier Integral estimation based on Markovian design . . . . . . . . . . . . . . . . . 833--857 Alexey Medvedev and Gábor Pete Speeding up non-Markovian first-passage percolation with a few extra edges . . . 858--886 Krzysztof D\kebicki and Peng Liu Extremes of nonstationary Gaussian fluid queues . . . . . . . . . . . . . . . . . 887--917 R. I. Oliveira and R. Ribeiro and R. Sanchis Disparity of clustering coefficients in the Holme--Kim network model . . . . . . 918--943 Tanguy Cabana and Jonathan D. Touboul Large deviations for randomly connected neural networks: I. Spatially extended systems . . . . . . . . . . . . . . . . 944--982 Tanguy Cabana and Jonathan D. Touboul Large deviations for randomly connected neural networks: II. State-dependent interactions . . . . . . . . . . . . . . 983--1004 C.-S. Deng and R. L. Schilling and Y.-H. Song Subgeometric rates of convergence for Markov processes under subordination --- Correction . . . . . . . . . . . . . . . 1005 Anonymous APR volume 50 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 50 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Xiaoou Li and Jingchen Liu and Shun Xu A multilevel approach towards unbiased sampling of random elliptic partial differential equations . . . . . . . . . 1007--1031 K. L. Helmes and R. H. Stockbridge and C. Zhu A weak convergence approach to inventory control using a long-term average criterion . . . . . . . . . . . . . . . 1032--1074 Daniel Ahlberg and Johan Tykesson Gilbert's disc model with geostatistical marking . . . . . . . . . . . . . . . . 1075--1094 Markus Kiderlen and Jan Rataj Dilation volumes of sets of finite perimeter . . . . . . . . . . . . . . . 1095--1118 Bartosz Kolodziejek On perpetuities with light tails . . . . 1119--1154 Marco Oesting and Kirstin Strokorb Efficient simulation of Brown--Resnick processes based on variance reduction of Gaussian processes . . . . . . . . . . . 1155--1175 Antar Bandyopadhyay and Gursharn Kaur Linear de-preferential urn models . . . 1176--1192 Sabrina Kombrink Renewal theorems for processes with dependent interarrival times . . . . . . 1193--1216 Servet Martínez and Werner Nagel Regenerative processes for Poisson zero polytopes . . . . . . . . . . . . . . . 1217--1226 N. Turchi and F. Wespi Limit theorems for random polytopes with vertices on convex surfaces . . . . . . 1227--1245 Yonit Barron A threshold policy in a Markov-modulated production system with server vacation: the case of continuous and batch supplies . . . . . . . . . . . . . . . . 1246--1274 M. N. M. van Lieshout Nearest-neighbour Markov point processes on graphs with Euclidean edges . . . . . 1275--1293 Jean Bertoin and Aser Cortines and Bastien Mallein Branching-stable point measures and processes . . . . . . . . . . . . . . . 1294--1314 Anonymous APR volume 50 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 50 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b6
Peter Jagers Applied probability as theoretical science: 50 years in the applied probability community . . . . . . . . . 1--2 Olle Nerman Peter Jagers: a collegial perspective 3--9 Eugene Seneta Peter Jagers: some reminiscences on his retirement . . . . . . . . . . . . . . . 11--12 Guillaume Achaz and Amaury Lambert and Emmanuel Schertzer The sequential loss of allelic diversity 13--29 Gerold Alsmeyer Ladder epochs and ladder chain of a Markov random walk with discrete driving chain . . . . . . . . . . . . . . . . . 31--46 Sòren Asmussen and Sergey Foss Regular variation in a fixed-point problem for single- and multi-class branching processes and queues . . . . . 47--61 Krishna B. Athreya On powers of likelihood functions of random walks on $ \mathbb {Z} $ . . . . 63--66 J. Baker and P. Chigansky and K. Hamza and F. C. Klebaner Persistence of small noise and random initial conditions . . . . . . . . . . . 67--81 D. A. Dawson and L. G. Gorostiza Random systems in ultrametric spaces . . 83--97 Philip A. Ernst and Marek Kimmel and Monika Kurpas and Quan Zhou Heavy-tailed distributions in branching process models of secondary cancerous tumors . . . . . . . . . . . . . . . . . 99--114 Allan Gut and Anders Martin-Löf An asymmetric St. Petersburg game with trimming . . . . . . . . . . . . . . . . 115--129 S. Hallmann and U. Rösler and M. Wnuk All solutions of the stochastic fixed point equation of the Quicksort process 131--140 Svante Janson Asymptotics of fluctuations in Crump-Mode--Jagers processes: the lattice case . . . . . . . . . . . . . . 141--171 Olav Kallenberg On the genealogy of branching populations and their diffusion limits 173--176 Götz Kersting and Anton Wakolbinger The time to absorption in $ \Lambda $-coalescents . . . . . . . . . . . . . 177--190 Timo Koski and Brita Jung and Göran Högnäs Exit times for ARMA processes . . . . . 191--195 Thomas G. Kurtz Genealogical constructions and asymptotics for continuous-time Markov and continuous-state branching processes 197--209 Kosto V. Mitov and Nikolay M. Yanev and Ollivier Hyrien Multitype branching processes with inhomogeneous Poisson immigration . . . 211--228 Serik Sagitov and Jonas Jagers Rank-dependent Galton--Watson processes and their pathwise duals . . . . . . . . 229--239 Eugene Seneta The weak law of large numbers for nonnegative summands . . . . . . . . . . 241--252
Christina Goldschmidt and Eleonora Kreaci\'c The spread of fire on a random multigraph . . . . . . . . . . . . . . . 1--40 Amarjit Budhiraja and Eric Friedlander Diffusion approximations for load balancing mechanisms in cloud storage systems . . . . . . . . . . . . . . . . 41--86 Yi-Shen Lin and Yi-Ching Yao One-sided solutions for optimal stopping problems with logconcave reward functions . . . . . . . . . . . . . . . 87--115 Daniel Hug and Wolfgang Weil Determination of Boolean models by densities of mixed volumes . . . . . . . 116--135 Stephan Eckstein Extended Laplace principle for empirical measures of a Markov chain . . . . . . . 136--167 Qi-Ming He and Gábor Horváth and Illés Horváth and Miklós Telek Moment bounds of PH distributions with infinite or finite support based on the steepest increase property . . . . . . . 168--183 Naoki Kubota Deviation bounds for the first passage time in the frog model . . . . . . . . . 184--208 Ye Chen and Ilya O. Ryzhov Complete expected improvement converges to an optimal budget allocation . . . . 209--235 Xiucai Ding Singular vector distribution of sample covariance matrices . . . . . . . . . . 236--267 Andrew Daw and Jamol Pender New perspectives on the Erlang-A queue 268--299 Melda Ormeci Matoglu and John H. Vande Vate and Haiyue Yu The economic average cost Brownian control problem . . . . . . . . . . . . 300--337 Anonymous APR volume 51 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f4 Anonymous APR volume 51 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Weiyong Ding and Rui Fang and Peng Zhao Reliability analysis of $k$-out-of-$n$ systems based on a grouping of components . . . . . . . . . . . . . . . 339--357 Tobias Müller and Merlijn Staps The diameter of KPKVB random graphs . . 358--377 Oliver Cooley and Tobias Kapetanopoulos and Tamás Makai The sharp threshold for jigsaw percolation in random graphs . . . . . . 378--407 Florin Avram and Matija Vidmar First passage problems for upwards skip-free random walks via the scale functions paradigm . . . . . . . . . . . 408--424 S. Hamad\`ene and R. Martyr and J. Moriarty A probabilistic verification theorem for the finite horizon two-player zero-sum optimal switching game in continuous time . . . . . . . . . . . . . . . . . . 425--442 Pierre-O. Goffard Fraud risk assessment within blockchain transactions . . . . . . . . . . . . . . 443--467 Ji Hwan Cha and Sophie Mercier Transformed Lévy processes as state-dependent wear models . . . . . . 468--486 Nabil Kazi-Tani and Didier Rulli\`ere On a construction of multivariate distributions given some multidimensional marginals . . . . . . . 487--513 Ayan Bhattacharya and Krishanu Maulik and Zbigniew Palmowski and Parthanil Roy Extremes of multitype branching random walks: heaviest tail wins . . . . . . . 514--540 Bojan Basrak and Olivier Wintenberger and Petra Zugec On the total claim amount for marked Poisson cluster models . . . . . . . . . 541--569 Luciano Campi and Claude Martini On the support of extremal martingale measures with given marginals: the countable case . . . . . . . . . . . . . 570--605 Tom Britton and Ka Yin Leung and Pieter Trapman Who is the infector? General multi-type epidemics and real-time susceptibility processes . . . . . . . . . . . . . . . 606--631 Anonymous APR volume 51 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 51 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Mauricio Junca and Harold A. Moreno-Franco and José Luis Pérez and Kazutoshi Yamazaki Optimality of refraction strategies for a constrained dividend problem . . . . . 633--666 Riccardo Passeggeri and Almut E. D. Veraart Limit theorems for multivariate Brownian semistationary processes and feasible results . . . . . . . . . . . . . . . . 667--716 Adriana Uquillas and Adilson Simonis First displacement time of a tagged particle in a stochastic cluster in a simple exclusion process with random slow bonds . . . . . . . . . . . . . . . 717--744 Gabriel Zayas-Cabán and Stefanus Jasin and Guihua Wang An asymptotically optimal heuristic for general nonstationary finite-horizon restless multi-armed, multi-action bandits . . . . . . . . . . . . . . . . 745--772 F. Aurzada and S. Schwinn Scaling limits for a random boxes model 773--801 Nicholas G. Tawn and Gareth O. Roberts Accelerating parallel tempering: Quantile tempering algorithm (QuanTA) 802--834 Yuqing Pan and Konstantin A. Borovkov The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problem 835--864 Wenyuan Wang and Zhimin Zhang Optimal loss-carry-forward taxation for Lévy risk processes stopped at general draw-down time . . . . . . . . . . . . . 865--897 Alessandro Garavaglia and Clara Stegehuis Subgraphs in preferential attachment models . . . . . . . . . . . . . . . . . 898--926 Anonymous APR volume 51 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 51 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Yan Qu and Angelos Dassios and Hongbiao Zhao Efficient simulation of Lévy-driven point processes . . . . . . . . . . . . . . . 927--966 Jorge I. González Cázares and Aleksandar Mijatovi\'c and Gerónimo Uribe Bravo Exact simulation of the extrema of stable processes . . . . . . . . . . . . 967--993 Aleksandar Mijatovi\'c and Jure Vogrinc Asymptotic variance for random walk Metropolis chains in high dimensions: logarithmic growth via the Poisson equation . . . . . . . . . . . . . . . . 994--1026 Thirupathaiah Vasantam and Arpan Mukhopadhyay and Ravi R. Mazumdar Insensitivity of the mean field limit of loss systems under SQ($d$) routeing . . 1027--1066 Svante Janson and Subhabrata Sen and Joel Spencer Preferential attachment when stable . . 1067--1108 James D. Cordeiro and Jeffrey P. Kharoufeh and Mark E. Oxley On the ergodicity of a class of level-dependent quasi-birth-and-death processes . . . . . . . . . . . . . . . 1109--1128 S. Jansen Cluster Expansions for Gibbs Point Processes . . . . . . . . . . . . . . . 1129--1178 Jose Blanchet and Yanan Pei and Karl Sigman Exact sampling for some multi-dimensional queueing models with renewal input . . . . . . . . . . . . . 1179--1208 M. Ferreira and D. Pinheiro and S. Pinheiro Two-player zero-sum stochastic differential games with random horizon 1209--1235 Anonymous APR volume 51 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 51 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Takashi Owada and Andrew M. Thomas Limit theorems for process-level Betti numbers for sparse and critical regimes 1--31 Roland De Haan and Ahmad Al Hanbali and Richard J. Boucherie and Jan-Kees Van Ommeren Transient analysis for exponential time-limited polling models under the preemptive repeat random policy . . . . 32--60 Daniel Lacker A non-exponential extension of Sanov's theorem via convex duality . . . . . . . 61--101 Lirong Cui and Alan Hawkes and He Yi An elementary derivation of moments of Hawkes processes . . . . . . . . . . . . 102--137 Vincent Lemaire and MichÉle Thieullen and Nicolas Thomas Thinning and multilevel Monte Carlo methods for piecewise deterministic (Markov) processes with an application to a stochastic Morris--Lecar model . . 138--172 Joris Bierkens and Frank van der Meulen and Moritz Schauer Simulation of elliptic and hypo-elliptic conditional diffusions . . . . . . . . . 173--212 Thomas Mikosch and Jorge Yslas Gumbel and Fréchet convergence of the maxima of independent random walks . . . 213--236 Vytaute Pilipauskaite and Viktor Skorniakov and Donatas Surgailis Joint temporal and contemporaneous aggregation of random-coefficient AR(1) processes with infinite variance . . . . 237--265 G. Berzunza The existence of a giant cluster for percolation on large Crump--Mode--Jagers trees . . . . . . . . . . . . . . . . . 266--290 He Yi and Narayanaswamy Balakrishnan and Lirong Cui On the multi-state signatures of ordered system lifetimes . . . . . . . . . . . . 291--318 Hakjin Chung and Hyun-Soo Ahn and Rhonda Righter The potentially negative effects of cooperation in service systems . . . . . 319--347 Nil Kamal Hazra and Neeraj Misra On relative ageing of coherent systems with dependent identically distributed components . . . . . . . . . . . . . . . 348--376 Anonymous APR volume 52 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 52 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Axel Finke and Arnaud Doucet and Adam M. Johansen Limit theorems for sequential MCMC methods . . . . . . . . . . . . . . . . 377--403 Irmina Czarna and Adam Kaszubowski and Shu Li and Zbigniew Palmowski Fluctuation identities for Omega-killed spectrally negative Markov additive processes and dividend problem . . . . . 404--432 Victor Falgas-Ravry and Joel Larsson and Klas Markström Speed and concentration of the covering time for structured coupon collectors 433--462 Seva Shneer and Alexander Stolyar Stability and moment bounds under utility-maximising service allocations: Finite and infinite networks . . . . . . 463--490 Guus Balkema and Natalia Nolde Samples with a limit shape, multivariate extremes, and risk . . . . . . . . . . . 491--522 Phillippe Briand and Abir Ghannoum and Céline Labart Mean reflected stochastic differential equations with jumps . . . . . . . . . . 523--562 Idir Arab and Milto Hadjikyriakou and Paulo Eduardo Oliveira Failure rate properties of parallel systems . . . . . . . . . . . . . . . . 563--587 Zakhar Kabluchko and Dmitry Zaporozhets Absorption probabilities for Gaussian polytopes and regular spherical simplices . . . . . . . . . . . . . . . 588--616 Davit Martirosyan and Philippe Robert The equilibrium states of large networks of Erlang queues . . . . . . . . . . . . 617--654 Isaac Gibbs and Linan Chen Asymptotic properties of random Voronoi cells with arbitrary underlying density 655--680 Angelos Dassios and Luting Li Explicit asymptotics on first passage times of diffusion processes . . . . . . 681--704 Anonymous APR volume 52 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 52 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Giovanni Luca Torrisi and Emilio Leonardi Almost sure central limit theorems in stochastic geometry . . . . . . . . . . 705--734 Christel Geiss and Céline Labart and Antti Luoto Mean square rate of convergence for random walk approximation of forward-backward SDEs . . . . . . . . . 735--771 Leonardo A. Videla Out-of-equilibrium random walks . . . . 772--797 Jiaming Xu and Yuan Zhong Improved queue-size scaling for input-queued switches via graph factorization . . . . . . . . . . . . . 798--824 Martin Friesen and Peng Jin and Jonas Kremer and Barbara Rüdiger Ergodicity of affine processes on the cone of symmetric positive semidefinite matrices . . . . . . . . . . . . . . . . 825--854 Johan Segers One- versus multi-component regular variation and extremes of Markov trees 855--878 Manon Costa and Carl Graham and Laurence Marsalle and Viet Chi Tran Renewal in Hawkes processes with self-excitation and inhibition . . . . . 879--915 Fuqing Gao and Yujing Wang Functional central limit theorems and moderate deviations for Poisson cluster processes . . . . . . . . . . . . . . . 916--941 Ajay Jasra and Fangyuan Yu Central limit theorems for coupled particle filters . . . . . . . . . . . . 942--1001 Anonymous APR volume 52 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 52 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Jose Blanchet and Fan Zhang Exact simulation for multivariate Itô diffusions . . . . . . . . . . . . . . . 1003--1034 Remco van der Hofstad and Pim van der Hoorn and Nelly Litvak and Clara Stegehuis Limit theorems for assortativity and clustering in null models for scale-free networks . . . . . . . . . . . . . . . . 1035--1084 Michael A. Klatt and Steffen Winter Geometric functionals of fractal percolation . . . . . . . . . . . . . . 1085--1126 Jie Yen Fan and Kais Hamza and Peter Jagers and Fima C. Klebaner Limit theorems for multi-type general branching processes with population dependence . . . . . . . . . . . . . . . 1127--1163 Wenyuan Wang and Xiaowen Zhou Draw-down Parisian ruin for spectrally negative Lévy processes . . . . . . . . . 1164--1196 M. Hashemi and M. Asadi On component failure in coherent systems with applications to maintenance strategies . . . . . . . . . . . . . . . 1197--1223 Svante Janson Mean and variance of balanced Pólya urns 1224--1248 Masatoshi Kimura and Tetsuya Takine Characterization of the conditional stationary distribution in Markov chains via systems of linear inequalities . . . 1249--1283 Mads Stehr and Markus Kiderlen Asymptotic variance of Newton--Cotes quadratures based on randomized sampling points . . . . . . . . . . . . . . . . . 1284--1307 Alexey Muravlev and Mikhail Zhitlukhin A Bayesian sequential test for the drift of a fractional Brownian motion . . . . 1308--1324 V. Bezborodov Corrigendum to: Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes . . . . 1325--1327 Anonymous APR volume 52 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 52 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Ari Arapostathis and Guodong Pang and Yi Zheng Exponential ergodicity and steady-state approximations for a class of Markov processes under fast regime switching 1--29 Beatrice Acciaio and Alexander M. G. Cox and Martin Huesmann Model-independent pricing with insider information: a Skorokhod embedding approach . . . . . . . . . . . . . . . . 30--56 Andrew M. Thomas and Takashi Owada Functional limit theorems for the Euler characteristic process in the critical regime . . . . . . . . . . . . . . . . . 57--80 Christopher King The fluid limit of a random graph model for a shared ledger . . . . . . . . . . 81--106 Tomasz Rychlik and Fabio Spizzichino Load-Sharing Reliability Models with Different Component Sensitivities to Other Components' Working States . . . . 107--132 Krzysztof Burdzy and Soumik Pal Can Coherent Predictions be Contradictory? . . . . . . . . . . . . . 133--161 Krzysztof Bartoszek and Torkel Erhardsson Normal approximation for mixtures of normal distributions and the evolution of phenotypic traits . . . . . . . . . . 162--188 Pavel V. Gapeev and Peter M. Kort and Maria N. Lavrutich Discounted Optimal Stopping Problems for Maxima of Geometric Brownian Motions With Switching Payoffs . . . . . . . . . 189--219 Zorana Grbac and David Krief and Peter Tankov Long-Time Trajectorial Large Deviations and Importance Sampling for Affine Stochastic Volatility Models . . . . . . 220--250 Adrián González Casanova and Juan Carlos Pardo and José Luis Pérez Branching processes with interactions: subcritical cooperative regime . . . . . 251--278 Mónica B. Carvajal Pinto and Kees van Schaik Optimally Stopping at a Given Distance from the Ultimate Supremum of a Spectrally Negative Lévy Process . . . . 279--299 Anonymous APR volume 53 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 53 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Xin Guo and Aiko Kurushima and Alexey Piunovskiy and Yi Zhang On gradual-impulse control of continuous-time Markov decision processes with exponential utility . . . 301--334 Christian Meier and Lingfei Li and Gongqiu Zhang Markov chain approximation of one-dimensional sticky diffusions . . . 335--369 Yuguang Ipsen and Ross A. Maller and Soudabeh Shemehsavar A generalised Dickman distribution and the number of species in a negative binomial process model . . . . . . . . . 370--399 Luis H. R. Alvarez E. and Sören Christensen A class of solvable multidimensional stopping problems in the presence of Knightian uncertainty . . . . . . . . . 400--424 Mathieu Rosenbaum and Mehdi Tomas From microscopic price dynamics to multidimensional rough volatility models 425--462 Chia-Li Wang and Ronald W. Wolff Kelly and Jackson networks with interchangeable, cooperative servers . . 463--483 Claude Lef\`evre and Matthieu Simon Ruin problems for epidemic insurance . . 484--509 Quentin Le Gall and Bart\lomiej B\laszczyszyn and Élie Cali and Taoufik En-Najjary Continuum line-of-sight percolation on Poisson--Voronoi tessellations . . . . . 510--536 Romain Abraham and Jean-François Delmas Exact simulation of the genealogical tree for a stationary branching population and application to the asymptotics of its total length . . . . 537--574 Konstantinos Karatapanis One-dimensional system arising in stochastic gradient descent . . . . . . 575--607 Anonymous APR volume 53 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 53 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Reza Rastegar and Alexander Roitershtein Avalanches in a short-memory excitable network . . . . . . . . . . . . . . . . 609--648 Nigel G. Bean and Ma\lgorzata M. O'Reilly and Zbigniew Palmowski Yaglom limit for stochastic fluid models 649--686 Iker Perez and Giuliano Casale Variational inference for Markovian queueing networks . . . . . . . . . . . 687--715 Julien Chevallier and Anna Melnykova and Irene Tubikanec Diffusion approximation of multi-class Hawkes processes: Theoretical and numerical analysis . . . . . . . . . . . 716--756 Mayank Manjrekar On spatial matchings: The first-in-first-match case . . . . . . . 757--800 Adam Bowditch Non-Gaussian fluctuations of randomly trapped random walks . . . . . . . . . . 801--838 Sarat Moka and Sandeep Juneja and Michel Mandjes Rejection- and importance-sampling-based perfect simulation for Gibbs hard-sphere models . . . . . . . . . . . . . . . . . 839--885 Chen Jia and Da-Quan Jiang and Youming Li Detailed balance, local detailed balance, and global potential for stochastic chemical reaction networks 886--922 Anonymous APR volume 53 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 53 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Celia García-Pareja and Henrik Hult and Timo Koski Exact simulation of coupled Wright--Fisher diffusions . . . . . . . 923--950 Youssef Rahme and Pascal Moyal A stochastic matching model on hypergraphs . . . . . . . . . . . . . . 951--980 Jeffrey Negrea and Jeffrey S. Rosenthal Approximations of geometrically ergodic reversible Markov chains . . . . . . . . 981--1022 Mátyás Barczy and Sandra Palau and Gyula Pap Asymptotic behavior of projections of supercritical multi-type continuous-state and continuous-time branching processes with immigration . . 1023--1060 Remco van der Hofstad and Júlia Komjáthy and Viktória Vadon Random intersection graphs with communities . . . . . . . . . . . . . . 1061--1089 Peter Gracar and Lukas Lüchtrath and Peter Mörters Percolation phase transition in weight-dependent random connection models . . . . . . . . . . . . . . . . . 1090--1114 Nicolas Meyer and Olivier Wintenberger Sparse regular variation . . . . . . . . 1115--1148 Jean-Jil Duchamps Fragmentations with self-similar branching speeds . . . . . . . . . . . . 1149--1189 Bo Li and Guodong Pang Shot noise processes with randomly delayed cluster arrivals and dependent noises in the large-intensity regime . . 1190--1221 Anonymous APR volume 53 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 53 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Paul Thévenin Random stable-type minimal factorizations of the n -cycle . . . . . 1--63 Amarjit Budhiraja and Nicolas Fraiman and Adam Waterbury Asymptotics of quasi-stationary distributions of small noise stochastic dynamical systems in unbounded domains 64--110 Ion Grama and Ronan Lauvergnat and Émile Le Page Limit theorems for critical branching processes in a finite-state-space Markovian environment . . . . . . . . . 111--140 Sergey Foss and Timofei Prasolov and Seva Shneer Limit theorems and structural properties of the cat-and-mouse Markov chain and its generalisations . . . . . . . . . . 141--166 Lijun Bo and Huafu Liao Probabilistic analysis of replicator-mutator equations . . . . . . 167--201 Ilkka Norros and Hannu Reittu and Fülöp Bazsó On model selection for dense stochastic block models . . . . . . . . . . . . . . 202--226 Benedikt Jahnel and András Tóbiás SINR percolation for Cox point processes with random powers . . . . . . . . . . . 227--253 Amitabha Bagchi and Iqra Altaf Gillani and Pooja Vyavahare A stochastic process on a network with connections to Laplacian systems of equations . . . . . . . . . . . . . . . 254--278 Luca Ganassali and Marc Lelarge and Laurent Massoulié Spectral alignment of correlated Gaussian matrices . . . . . . . . . . . 279--310 Linglong Yuan Kingman's model with random mutation probabilities: convergence and condensation I . . . . . . . . . . . . . 311--335 Anonymous APR volume 54 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 54 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Miklós Bóna and Boris Pittel On a random search tree: asymptotic enumeration of vertices by distance from leaves --- Corrigendum . . . . . . . . . 337--339 Andrew Daw and Jamol Pender An ephemerally self-exciting point process . . . . . . . . . . . . . . . . 340--403 Sören Christensen and Kristoffer Lindensjö Moment-constrained optimal dividends: precommitment and consistent planning 404--432 Yue Yang and Xiang Yu Optimal entry and consumption under habit formation . . . . . . . . . . . . 433--459 Michael Baake and Jeremy Sumner On equal-input and monotone Markov matrices . . . . . . . . . . . . . . . . 460--492 B. Cooper Boniece and Gustavo Didier On operator fractional Lévy motion: integral representations and time-reversibility . . . . . . . . . . . 493--535 Christian Houdré and George Kerchev Normal Approximation for Functions of Hidden Markov Models . . . . . . . . . . 536--569 Venkat Anantharam and François Baccelli Nash equilibrium structure of Cox process Hotelling games . . . . . . . . 570--598 Clément Foucart and Chunhua Ma and Linglong Yuan Limit theorems for continuous-state branching processes with immigration . . 599--624 Randall Martyr and John Moriarty and Magnus Perninge Discrete-time risk-aware optimal switching with non-adapted costs . . . . 625--655 Erol A. Peköz and Sheldon M. Ross Fair gambler's ruin stochastically maximizes playing time . . . . . . . . . 656--659 Anonymous APR volume 54 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 54 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Ajay Jasra and Kody J. H. Law and Fangyuan Yu Unbiased filtering of a class of partially observed diffusions . . . . . 661--687 Natalia Nolde and Jennifer L. Wadsworth Linking representations for multivariate extremes via a limit set . . . . . . . . 688--717 Tiandong Wang and Sidney I. Resnick Measuring reciprocity in a directed preferential attachment network . . . . 718--742 Mark Kelbert and Harold A. Moreno-Franco On a mixed singular/switching control problem with multiple regimes . . . . . 743--782 Victoria Knopova and Zbigniew Palmowski Subexponential potential asymptotics with applications . . . . . . . . . . . 783--807 Barbara Martinucci and Alessandra Meoli and Shelemyahu Zacks Some results on the telegraph process driven by gamma components . . . . . . . 808--848 Giacomo Aletti and Irene Crimaldi The rescaled Pólya urn: local reinforcement and chi-squared goodness-of-fit test . . . . . . . . . . 849--879 Wasiur R. Khudabukhsh and Casper Woroszylo and Grzegorz A. Rempa\la and Heinz Koeppl A functional central limit theorem for SI processes on configuration model graphs . . . . . . . . . . . . . . . . . 880--912 Céline Duval and Ester Mariucci Non-asymptotic control of the cumulative distribution function of Lévy processes 913--944 Francesca Biagini and Yinglin Zhang Extended reduced-form framework for non-life insurance . . . . . . . . . . . 945--973 Ji Hwan Cha An extended class of univariate and multivariate generalized Pólya processes 974--997 Anonymous APR volume 54 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 54 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
S. Val\`ere Bitseki Penda and Jean-François Delmas Central limit theorem for bifurcating Markov chains under $ L^2 $-ergodic conditions . . . . . . . . . . . . . . . 999--1031 Takashi Owada and D. Yogeshwaran Sub-tree counts on hyperbolic random geometric graphs . . . . . . . . . . . . 1032--1069 Nicolas Privault Moments of Markovian growth-collapse processes . . . . . . . . . . . . . . . 1070--1093 Vladimir Fomichov and Sandro Franceschi and Jevgenijs Ivanovs Probability of total domination for transient reflecting processes in a quadrant . . . . . . . . . . . . . . . . 1094--1138 Dan Crisan and Pierre Del Moral and Ajay Jasra and Hamza Ruzayqat Log-normalization constant estimation using the ensemble Kalman--Bucy filter with application to high-dimensional models . . . . . . . . . . . . . . . . . 1139--1163 Nima Akbarzadeh and Aditya Mahajan Conditions for indexability of restless bandits and an $ \mathcal {O}(K^3) $ algorithm to compute Whittle index . . . 1164--1192 Manuel D. de la Iglesia Spectral analysis of bilateral birth-death processes: some new explicit examples . . . . . . . . . . . . . . . . 1193--1221 Giorgio Ferrari and Hanwu Li and Frank Riedel Optimal consumption with Hindy--Huang--Kreps preferences under nonlinear expectations . . . . . . . . . 1222--1251 Anna Gusakova and Zakhar Kabluchko and Christoph Thäle The $ \beta $-Delaunay tessellation: Description of the model and geometry of typical cells . . . . . . . . . . . . . 1252--1290 Ronald W. Butler Exponential and gamma form for tail expansions of first-passage distributions in semi-Markov processes 1291--1319 Anonymous APR volume 54 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 54 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Hiroyuki Masuyama A new matrix-infinite-product-form solution for upper block-Hessenberg Markov chains and its quasi-algorithmic constructibility . . . . . . . . . . . . 1--28 Bernd Heidergott and Yijie Peng Gradient estimation for smooth stopping criteria . . . . . . . . . . . . . . . . 29--55 Anita Behme and David Oechsler and René Schilling On $q$-scale functions of spectrally negative Lévy processes . . . . . . . . . 56--84 Sarath Yasodharan and Rajesh Sundaresan Large-time behaviour and the second eigenvalue problem for finite-state mean-field interacting particle systems 85--125 Andrew Daw and Jamol Pender Matrix calculations for moments of Markov processes . . . . . . . . . . . . 126--150 Hanwu Li Optimal multiple stopping problem under nonlinear expectation . . . . . . . . . 151--178 Sabine Jansen and Leonid Kolesnikov and Kilian Matzke The direct-connectedness function in the random connection model . . . . . . . . 179--222 Emilio De Santis and Fabio Spizzichino Construction of aggregation paradoxes through load-sharing models . . . . . . 223--244 Alexander Stolyar Large-scale behavior of a particle system with mean-field interaction: Traveling wave solutions . . . . . . . . 245--274 Irene Crimaldi and Pierre-Yves Louis and Ida G. Minelli Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization . . . . . . . . . . 275--320 Chuang Xu and Mads Christian Hansen and Carsten Wiuf Full classification of dynamics for one-dimensional continuous-time Markov chains with polynomial transition rates 321--355 Anonymous APR volume 55 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 55 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Matthias Kirchner Critical cluster cascades . . . . . . . 357--381 Miklós Rásonyi and Kinga Tikosi Convergence of the Kiefer--Wolfowitz algorithm in the presence of discontinuities . . . . . . . . . . . . 382--406 Tejas Iyer Degree distributions in recursive trees with fitnesses . . . . . . . . . . . . . 407--443 Branda Goncalves and Thierry Huillet and Eva Löcherbach On decay-surge population models . . . . 444--472 Adam Gustafson and Hariharan Narayanan John's walk . . . . . . . . . . . . . . 473--491 Sanket Agrawal and Dootika Vats and Krzysztof Latuszy\'nski and Gareth O. Roberts Optimal scaling of MCMC beyond Metropolis . . . . . . . . . . . . . . . 492--509 Yan-Xia Ren and Renming Song and Fan Yang Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves . . . . . . . . . . . . 510--548 Onno Boxma and Esther Frostig and Zbigniew Palmowski A dual risk model with additive and proportional gains: ruin probability and dividends . . . . . . . . . . . . . . . 549--580 Jan Czajkowski Thin-ended clusters in percolation in $ \mathbb {H}^d $ . . . . . . . . . . . . 581--610 Erik J. Baurdoux and José M. Pedraza Predicting the last zero before an exponential time of a spectrally negative Lévy process . . . . . . . . . . 611--642 Yevgeniy Kovchegov and Guochen Xu and Ilya Zaliapin Invariant Galton--Watson trees: metric properties and attraction with respect to generalized dynamical pruning . . . . 643--671 William Oçafrain An ergodic theorem for asymptotically periodic time-inhomogeneous Markov processes, with application to quasi-stationarity with moving boundaries . . . . . . . . . . . . . . . 672--700 Anonymous APR volume 55 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 55 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Fernando Cordero and Grégoire Véchambre Moran models and Wright--Fisher diffusions with selection and mutation in a one-sided random environment . . . 701--767 Mei Yin Parking functions: interdisciplinary connections . . . . . . . . . . . . . . 768--792 Remco van der Hofstad and Pim van der Hoorn and Neeladri Maitra Local limits of spatial inhomogeneous random graphs . . . . . . . . . . . . . 793--840 Svante Janson Asymptotic normality for $ \boldsymbol {m} $ -dependent and constrained $ \boldsymbol {U} $ -statistics, with applications to pattern matching in random strings and permutations . . . . 841--894 Frank Ball and Peter Neal The size of a Markovian SIR epidemic given only removal data . . . . . . . . 895--926 Giulia Di Nunno and Yuliya Mishura and Anton Yurchenko-Tytarenko Sandwiched SDEs with unbounded drift driven by Hölder noises . . . . . . . . . 927--964 Annemarie Bitter and Robert Stelzer and Bennet Ströh Continuous-time locally stationary time series models . . . . . . . . . . . . . 965--998 Abraham Gutierrez and Sebastian Müller and Stjepan Sebek On asymptotic fairness in voting with greedy sampling . . . . . . . . . . . . 999--1032 Eckhard Platen and Stefan Tappe No arbitrage and multiplicative special semimartingales . . . . . . . . . . . . 1033--1074 Gabriel Zayas-Cabán and Jiaxin Liang and Stefanus Jasin and Guihua Wang An asymptotically optimal heuristic for general nonstationary finite-horizon restless multi-armed, multi-action bandits: Corrigendum . . . . . . . . . . 1075--1083 Anonymous APR volume 55 issue 3 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 55 issue 3 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Yinping You and Xiaohu Li and Xiaoqin Li Stochastic comparison on active redundancy allocation to $K$-out-of-$N$ systems with statistically dependent component and redundancy lifetimes . . . 1085--1115 Jinzhu Li Asymptotic results on tail moment and tail central moment for dependent risks 1116--1143 Stathis Chadjiconstantinidis and Serkan Eryilmaz Distributions of random variables involved in discrete censored $ \delta $-shock models . . . . . . . . . . . . . 1144--1170 Laure Coutin and Monique Pontier PDE for the joint law of the pair of a continuous diffusion and its running maximum . . . . . . . . . . . . . . . . 1171--1210 François Caron and Francesca Panero and Judith Rousseau On sparsity, power-law, and clustering properties of graphex processes . . . . 1211--1253 Victor Falgas-Ravry and Amites Sarkar Bootstrap percolation in random geometric graphs . . . . . . . . . . . . 1254--1300 Donald A. Dawson and Ahmed Sid-Ali and Yiqiang Q. Zhao Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks . . . 1301--1361 Jorge Ignacio González Cázares and Aleksandar Mijatovi\'c A Monte Carlo algorithm for the extrema of tempered stable processes . . . . . . 1362--1389 Satoshi Kuriki and Takahiko Matsubara Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields . . . . . . 1390--1414 Paul Jung and Hoil Lee and Jiho Lee and Hongseok Yang $ \alpha $-Stable convergence of heavy-/light-tailed infinitely wide neural networks . . . . . . . . . . . . 1415--1441 Julia Eisenberg and Paul Krühner Measuring the suboptimality of dividend controls in a Brownian risk model . . . 1442--1472 Nima Akbarzadeh and Aditya Mahajan Conditions for indexability of restless bandits and an $ O(K^3) $ algorithm to compute Whittle index --- Corrigendum 1473--1474 Anonymous APR volume 55 issue 4 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 55 issue 4 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Qiao Huang and Jinqiao Duan and Renming Song Homogenization of non-symmetric jump processes . . . . . . . . . . . . . . . 1--33 Christian Hirsch and Daniel Willhalm Upper large deviations for power-weighted edge lengths in spatial random networks . . . . . . . . . . . . 34--70 F. Baccelli and S. Foss and S. Shneer Migration-contagion processes . . . . . 71--105 Tianshu Cong and Aihua Xia Normal approximation in total variation for statistics in geometric probability 106--155 Hamed Amini and Nikolaos Fountoulakis and Konstantinos Panagiotou Bootstrap percolation in inhomogeneous random graphs . . . . . . . . . . . . . 156--204 Christopher Blier-Wong and Hél\`ene Cossette and Etienne Marceau Exchangeable FGM copulas . . . . . . . . 205--234 Aurélien Velleret Adaptation of a population to a changing environment in the light of quasi-stationarity . . . . . . . . . . . 235--286 Fabian Burghart A modification of the random cutting model . . . . . . . . . . . . . . . . . 287--314 Thomas Mountford and Zhe Wang Stable systems with power law conditions for Poisson hail . . . . . . . . . . . . 315--353 Antal A. Járai and Minwei Sun Interlacement limit of a stopped random walk trace on a torus . . . . . . . . . 354--388 Anonymous APR volume 56 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 56 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Hiroyuki Masuyama and Yosuke Katsumata and Tatsuaki Kimura A subgeometric convergence formula for finite-level M/G/1-type Markov chains: via a block-decomposition-friendly solution to the Poisson equation of the deviation matrix . . . . . . . . . . . . 389--429 Frank Ball and Peter Neal Strong convergence of an epidemic model with mixing groups . . . . . . . . . . . 430--463 Tanmay Sahoo and Nil Kamal Hazra Ordering and ageing properties of developed sequential order statistics governed by the Archimedean copula . . . 464--494 Giacomo Francisci and Anand N. Vidyashankar Branching processes in random environments with thresholds . . . . . . 495--544 Laure Marêché Fluctuations of the local times of the self-repelling random walk with directed edges . . . . . . . . . . . . . . . . . 545--586 Michael C. H. Choi Improved Metropolis--Hastings algorithms via landscape modification with applications to simulated annealing and the Curie--Weiss model . . . . . . . . . 587--620 Stefka Asenova and Johan Segers Max-linear graphical models with heavy-tailed factors on trees of transitive tournaments . . . . . . . . . 621--665 T. V. Rao and Sameen Naqvi Preservation of mean inactivity time ordering for coherent systems . . . . . 666--692 Chuang Xu and Mads Christian Hansen and Carsten Wiuf The asymptotic tails of limit distributions of continuous-time Markov chains . . . . . . . . . . . . . . . . . 693--734 Vanderlei da Costa Bueno and Narayanaswamy Balakrishnan An inaccuracy measure between non-explosive point processes with applications to Markov chains . . . . . 735--756 Anonymous APR volume 56 issue 2 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f2 Anonymous APR volume 56 issue 2 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Samuel Litwin The Distribution of Radioactive Recovery in Randomly Cut and Sedimented DNA . . . 275--284
Jean-Guy Dion Sur Une Caractérisation Des Vidanges Fortes: Corrections and Extensions. (French) [On a characterization of strong drains: corrections and extensions] . . . . . . . . . . . . . . 268--279
Michael L. Hogan Comment on ``\booktitleCorrected Diffusion Approximations in Certain Random Walk Problems'' . . . . . . . . . 89--96
R. L. Dorit and H. Akashi and W. Gilberg Absence of polymorphism at the ZFY locus on the human Y chromosome . . . . . . . 1183--1185