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Volume 1, Number 1, June, 1964N. U. Prabhu Time-Dependent Results in Storage Theory 1--46 Harold Ruben Generalised Concentration Fluctuations under Diffusion Equilibrium . . . . . . 47--68 Lajos Takács Combinatorial Methods in the Theory of Dams . . . . . . . . . . . . . . . . . . 69--76 Joseph L. Gastwirth On a Telephone Traffic System with Several Kinds of Service Distributions 77--84 J. Keilson An Alternative to Wiener--Hopf Methods for the Study of Bounded Processes . . . 85--120 P. D. Finch The Theory of Information and Statistical Inference. I . . . . . . . . 121--140 W. J. Ewens The Pseudo-Transient Distribution and Its Uses in Genetics . . . . . . . . . . 141--156 A. W. Davis A Note on the Characteristic Functional for a Replacement Process of Gani . . . 157--160 P. J. Brockwell An Asymptotic Expansion for the Tail of a Binomial Distribution and Its Application in Queueing Theory . . . . . 161--167 Ora Engelberg Exact and Limiting Distributions of the Number of Lead Positions in ``Unconditional'' Ballot Problems . . . 168--172 C. C. Heyde On the Stationary Waiting Time Distribution in the Queue GI/G/1 . . . . 173--176 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Motoo Kimura Diffusion Models in Population Genetics 177--232 G. A. Watterson The Application of Diffusion Theory to Two Population Genetic Models of Moran 233--246 J. Keilson A Review of Transient Behavior in Regular Diffusion and Birth-Death Processes . . . . . . . . . . . . . . . 247--266 J. E. Moyal Multiplicative Population Processes . . 267--283 David Blackwell and David Kendall The Martin Boundary for Pólya's Urn Scheme, and an Application to Stochastic Population Growth . . . . . . . . . . . 284--296 G. F. Yeo and B. Weesakul Delays to Road Traffic at an Intersection . . . . . . . . . . . . . . 297--310 A. Rényi On Two Mathematical Models of the Traffic on a Divided Highway . . . . . . 311--320 V. D. Barnett A Three-Player Extension of the Gambler's Ruin Problem . . . . . . . . . 321--334 A. Reichel and C. A. Wilkins On the Theory of Resonance Integrals in the Statistical Region . . . . . . . . . 335--346 P. A. W. Lewis Implications of a Failure Model for the Use and Maintenance of Computers . . . . 347--368 A. M. Hasofer On the Single-Server Queue with Non-Homogeneous Poisson Input and General Service Time . . . . . . . . . . 369--384 Charles H. Kraft A Class of Distribution Function Processes Which Have Derivatives . . . . 385--388 Lajos Takács The Use of a Ballot Theorem in Order Statistics . . . . . . . . . . . . . . . 389--392 Lajos Takács Fluctuations in the Ratio of Scores in Counting a Ballot . . . . . . . . . . . 393--396 Anonymous Correction: An Alternative to Wiener--Hopf Methods for the Study of Bounded Processes . . . . . . . . . . . 397--397 Anonymous Volume Information . . . . . . . . . . . 399--399 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
E. J. Hannan Group Representations and Applied Probability . . . . . . . . . . . . . . 1--68 J. E. Moyal Incomplete Discontinuous Markov Processes . . . . . . . . . . . . . . . 69--78 Masanobu Shinozuka On the Two Sided Barrier Problem . . . . 79--87 J. N. Darroch and E. Seneta On Quasi-Stationary Distributions in Absorbing Discrete-Time Finite Markov Chains . . . . . . . . . . . . . . . . . 88--100 T. N. Bhargava On Time Changes in a Digraph . . . . . . 101--118 Simeon M. Berman A Renewal Theoretic Model for Chronic Disease Statistics . . . . . . . . . . . 119--128 George H. Weiss and Motoo Kimura A Mathematical Analysis of the Stepping Stone Model of Genetic Correlation . . . 129--149 J. Gani and G. F. Yeo Some Birth-Death and Mutation Models for Phage Reproduction . . . . . . . . . . . 150--161 J. F. C. Kingman Mean Free Paths in a Convex Reflecting Region . . . . . . . . . . . . . . . . . 162--168 Maurice Horowitz Probability of Random Paths across Elementary Geometrical Shapes . . . . . 169--177 Martin Fox A Simplified Model for the Formation, Movement, and Dissipation of Fair Weather Cumulus Clouds . . . . . . . . . 178--185 D. J. Daley General Customer Impatience in the Queue GI/G/1 . . . . . . . . . . . . . . . . . 186--205 C. R. Heathcote On the Maximum of the Queue GI/M/1 . . . 206--214 S. Odoom and E. H. Lloyd A Note on the Equilibrium Distribution of Levels in a Semi-Infinite Reservoir Subject to Markovian Inputs and Unit Withdrawals . . . . . . . . . . . . . . 215--222 Anonymous Correction: A Class of Distribution Function Processes Which Have Derivatives . . . . . . . . . . . . . . 223--223 Anonymous Correction: A Review of Transient Behavior in Regular Diffusion and Birth-Death Processes . . . . . . . . . 223--223 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. Gani Stochastic Models for Bacteriophage . . 225--268 George H. Weiss and Marvin Zelen A Semi-Markov Model for Clinical Trials 269--285 M. Ten Hoopen and H. A. Reuver Selective Interaction of Two Independent Recurrent Processes . . . . . . . . . . 286--292 A. W. Davis On the Theory of Birth, Death and Diffusion Processes . . . . . . . . . . 293--322 T. E. Harris Diffusion with ``Collisions'' between Particles . . . . . . . . . . . . . . . 323--338 Allan M. Russell and Nora S. Josephson Measurement of Area by Counting . . . . 339--351 Samuel Karlin and James McGregor Ehrenfest Urn Models . . . . . . . . . . 352--376 J. Chover and G. Yeo Solutions of Some Two-Sided Boundary Problems for Sums of Variables with Alternating Distributions . . . . . . . 377--395 Ora Engelberg On Some Problems concerning a Restricted Random Walk . . . . . . . . . . . . . . 396--404 J. Keilson A Review of Transient Behavior in Regular Diffusion and Birth-Death Processes. Part II . . . . . . . . . . . 405--428 Donald L. Iglehart Limiting Diffusion Approximations for the Many Server Queue and the Repairman Problem . . . . . . . . . . . . . . . . 429--441 C. Pearce A Queueing System with Non-Recurrent Input and Batch Servicing . . . . . . . 442--448 R. V. Ambartzumian Two Inverse Problems concerning the Superposition of Recurrent Point Processes . . . . . . . . . . . . . . . 449--454 D. Mejzler On a Characteristic Property of Stationary Streams without Aftereffect 455--461 A. M. Hasofer Some Perturbation Results for the Single-Server Queue with Poisson Input 462--466 U. N. Bhat On a Stochastic Process Occurring in Queueing Systems . . . . . . . . . . . . 467--469 Eve Bofinger Sufficiency for Multinomial and Transition Probabilities . . . . . . . . 470--474 Anonymous Correction: On Time Changes in a Diagraph . . . . . . . . . . . . . . . . 475--475 Anonymous Volume Information . . . . . . . . . . . 476--476 Anonymous Back Matter . . . . . . . . . . . . . . 477--477 Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Kotz Recent Results in Information Theory . . 1--93 B. E. Ellison Limit Theorems for Random Mating in Infinite Populations . . . . . . . . . . 94--114 P. Holgate A Mathematical Study of the Founder Principle of Evolutionary Genetics . . . 115--128 M. W. Feldman On the Offspring Number Distribution in a Genetic Population . . . . . . . . . . 129--141 Edward Pollak On the Survival of a Gene in a Subdivided Population . . . . . . . . . 142--155 D. C. Dowson Simple Random Walks on Semi-Groups of Nilpotency Class Two . . . . . . . . . . 156--170 D. Brook Bounds for Moment Generating Functions and for Extinction Probabilities . . . . 171--178 Howard J. Weiner Applications of the Age Distribution in Age Dependent Branching Processes . . . 179--201 Marcel F. Neuts The Single Server Queue with Poisson Input and Semi-Markov Service Times . . 202--230 J. Sudarsana Rao An Application of Stationary Point Processes to Queueing Theory and Textile Research . . . . . . . . . . . . . . . . 231--246 G. F. Newell Equilibrium Probability Distributions for Low Density Highway Traffic . . . . 247--260 C. R. Heathcote and E. Seneta Inequalities for Branching Processes . . 261--267 Richard Bellman Dynamic Programming, Pattern Recognition and Location of Faults in Complex Systems . . . . . . . . . . . . . . . . 268--271 H. Robbins and E. Samuel An Extension of a Lemma of Wald . . . . 272--273 D. N. Shanbhag On Infinite Server Queues with Batch Arrivals . . . . . . . . . . . . . . . . 274--279 P. J. Brockwell and J. E. Moyal A Stochastic Population Process and Its Application to Bubble Chamber Measurements . . . . . . . . . . . . . . 280--284 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Correction: Probability of Random Paths across Elementary Geometrical Shapes . . ?? Anonymous Correction: A Review of Transient Behavior in Regular Diffusion and Birth-Death Processes . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. F. C. Kingman On the Algebra of Queues . . . . . . . . 285--326 Charles J. Mode A Stochastic Calculus and Its Application to Some Fundamental Theorems of Natural Selection . . . . . . . . . . 327--352 R. G. Khazanie and H. E. McKean A Mendelian Markov Process with Multinomial Transition Probabilities . . 353--364 Marvin A. Kastenbaum A Dialysis System with One Absorbing and One Semi-Reflecting State . . . . . . . 365--374 Klaus Dietz On the Model of Weiss for the Spread of Epidemics by Carriers . . . . . . . . . 375--382 Howard Weiner On Age Dependent Branching Processes . . 383--402 E. Seneta and D. Vere-Jones On Quasi-Stationary Distributions in Discrete-Time Markov Chains with a Denumerable Infinity of States . . . . . 403--434 John N. Darroch Identities for Passage Times with Applications to Recurrent Events and Homogeneous Differential Functions . . . 435--444 S. Gallot Asymptotic Absorption Probabilities for a Poisson Process . . . . . . . . . . . 445--452 P. A. P. Moran A Note on Recent Research in Geometrical Probability . . . . . . . . . . . . . . 453--463 M. F. James On the Conditional Expected Value of Contributions from a Renewal Process . . 464--480 Morris L. Eaton Characterization of Distributions by the Identical Distribution of Linear Forms 481--494 Rodrigo A. Restrepo A Combinatorial Method for a Class of Matrix Games . . . . . . . . . . . . . . 495--511 J. H. Jenkins Stationary Joint Distributions Arising in the Analysis of the M/G/1 Queue by the Method of the Imbedded Markov Chain 512--520 Jon Folkman and Sidney Port Optimal Procedures for Stochastically Failing Equipment . . . . . . . . . . . 521--537 J. A. Bather A Continuous Time Inventory Model . . . 538--549 Gedalia Ailam Moments of Coverage and Coverage Spaces 550--555 S. Gallot A Bound for the Maximum of a Number of Random Variables . . . . . . . . . . . . 556--558 R. R. A. Morton The Expected Number and Angle of Intersections between Random Curves in a Plane . . . . . . . . . . . . . . . . . 559--562 Anonymous Correction: Simple Random Walks on Semi-Groups of Nilpotency Class Two . . 562--562 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
P. Holgate Divergent Population Processes and Mammal Outbreaks . . . . . . . . . . . . 1--8 R. C. Srivastava Some Aspects of the Stochastic Model for the Attachment of Phages to Bacteria . . 9--18 C. J. Ridler-Rowe On a Stochastic Model of an Epidemic . . 19--33 R. T. Leslie Recurrent Composite Events . . . . . . . 34--61 Charles J. Mode A Renewal Density Theorem in the Multi-Dimensional Case . . . . . . . . . 62--76 G. Elfving A Persistency Problem Connected with a Point Process . . . . . . . . . . . . . 77--89 E. J. Hannan Measurement of a Wandering Signal Amid Noise . . . . . . . . . . . . . . . . . 90--102 D. E. Cartwright Time-Series Analysis of Tides and Similar Motions of the Sea Surface . . . 103--112 R. G. Keats A Note on the Black Box Problem . . . . 113--122 C. B. Mehr Characterization of a Class of Second-Order Density Functions . . . . . 123--129 L. L. Helms Biharmonic Functions and Brownian Motion 130--136 Edward C. Posner and Howard Rumsey, Jr. An Uncertainty Function Arising in Sequential Search Theory . . . . . . . . 137--143 C. C. Heyde A Limit Theorem for Random Walks with Drift . . . . . . . . . . . . . . . . . 144--150 Lajos Takács The Distribution of the Content of Finite Dams . . . . . . . . . . . . . . 151--161 J. W. Cohen The Distribution of the Maximum Number of Customers Present Simultaneously during a Busy Period for the Queueing Systems M/G/1 and G/M/1 . . . . . . . . 162--179 D. H. Reid A Mathematical Model for Delays Caused by Right-Turning Vehicles at an Uncontrolled Intersection . . . . . . . 180--191 J. N. Darroch and E. Seneta On Quasi-Stationary Distributions in Absorbing Continuous-Time Finite Markov Chains . . . . . . . . . . . . . . . . . 192--196 Ester Samuel On the Existence of the Expectation of Randomly Stopped Sums . . . . . . . . . 197--200 D. C. Gilles and P. A. W. Lewis The Spectrum of Intervals of a Geometric Branching Poisson Process . . . . . . . 201--205 Marcel F. Neuts Waitingtimes between Record Observations 206--208 J. H. Pollard Hierarchical Population Models with Poisson Recruitment . . . . . . . . . . 209--213 Anonymous Correction: A Renewal Theoretic Model for Chronic Disease Statistics . . . . . 214--214 Anonymous Correction: Inequalities for Branching Processes . . . . . . . . . . . . . . . 215--215 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
C. R. Heathcote Complete Exponential Convergence and Some Related Topics . . . . . . . . . . 217--256 Hugh M. Pettigrew and George H. Weiss Epidemics with Carriers: The Large Population Approximation . . . . . . . . 257--263 F. Downton Epidemics with Carriers: A Note on a Paper of Dietz . . . . . . . . . . . . . 264--270 Norman C. Severo Two Theorems on Solutions of Differential-Difference Equations and Applications to Epidemic Theory . . . . 271--280 Elliott W. Montroll On Nonlinear Processes Involving Population Growth and Diffusion . . . . 281--290 Albert W. Marshall and Ingram Olkin A Generalized Bivariate Exponential Distribution . . . . . . . . . . . . . . 291--302 J. A. McFadden and James L. Lewis Multivariate Normal Integrals for Highly Correlated Samples from a Wiener Process 303--312 C. L. Mallows Linear Processes Are Nearly Gaussian . . 313--329 Eugene Sobel Prediction of a Noise-Distorted, Multivariate, Non-Stationary Signal . . 330--342 J. W. Cohen On Two Integral Equations of Queueing Theory . . . . . . . . . . . . . . . . . 343--355 Erhan Çinlar Time Dependence of Queues with Semi-Markovian Services . . . . . . . . 356--364 Erhan Çinlar Queues with Semi-Markovian Arrivals . . 365--379 P. A. P. Moran Dams in Series with Continuous Release 380--388 J. G. Gilson Statistical Relativistic Particle . . . 389--396 L. H. Harper A Necessary Condition on Minimal Cube Numberings . . . . . . . . . . . . . . . 397--401 H. D. Miller A Note on Passage Times and Infinitely Divisible Distributions . . . . . . . . 402--405 Sven Erlander A Note on Telephone Traffic with Losses 406--408 M. Ten Hoopen and H. A. Reuver On a First Passage Problem in Stochastic Storage Systems with Total Release . . . 409--412 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Donald A. McQuarrie Stochastic Approach to Chemical Kinetics 413--478 W. Smith and G. S. Watson Diffusion out of a Triangle . . . . . . 479--488 E. Seneta The Galton--Watson Process with Mean One 489--495 J. N. Darroch and K. W. Morris Some Passage-Time Generating Functions for Discrete-Time and Continuous-Time Finite Markov Chains . . . . . . . . . . 496--507 Richard A. Olshen Asymptotic Properties of the Periodogram of a Discrete Stationary Process . . . . 508--528 T. Lewis The Factorisation of the Rectangular Distribution . . . . . . . . . . . . . . 529--542 Morris Skibinsky The Range of the (n + 1)th Moment for Distributions on [0, 1] . . . . . . . . 543--552 C. Pearce Queues with Moving Average Service Times 553--570 David K. Hildebrand Stability of Finite Queue, Tandem Server Systems . . . . . . . . . . . . . . . . 571--583 John Bather and Herman Chernoff Sequential Decisions in the Control of a Space-Ship (Finite Fuel) . . . . . . . . 584--604 Meyer Dwass Poisson Recurrence Times . . . . . . . . 605--608 Charles J. Mode Some Corrections to My Paper ``\booktitleA Stochastic Calculus and Its Application to Some Fundamental Theorems of Natural Selection'' . . . . 609--611 Anonymous Volume Information . . . . . . . . . . . 612--613 Anonymous Back Matter . . . . . . . . . . . . . . 614--614 Anonymous Front Matter . . . . . . . . . . . . . . ??
P. Holgate Interaction between Migration and Breeding Studied by Means of Genetic Algebras . . . . . . . . . . . . . . . . 1--8 Jostein Lillestòl Another Approach to Some Markov Chain Models in Population Genetics . . . . . 9--20 A. B. Chia Random Mating in a Population of Cyclic Size . . . . . . . . . . . . . . . . . . 21--30 K. Dietz and F. Downton Carrier-Borne Epidemics with Immigration. I: Immigration of Both Susceptibles and Carriers . . . . . . . 31--42 A. H. Zaludová and Z. Rezný and M. Ullrich A Survey of Some Recent Czechoslovak Work in Automatic Statistical Process Control . . . . . . . . . . . . . . . . 43--54 J. A. Bather A Diffusion Model for the Control of a Dam . . . . . . . . . . . . . . . . . . 55--71 M. S. Ali Khan and J. Gani Infinite Dams with Inputs Forming a Markov Chain . . . . . . . . . . . . . . 72--83 A. G. Hawkes Gap-Acceptance in Road Traffic . . . . . 84--92 J. W. Cohen Single Server Queue with Uniformly Bounded Virtual Waiting Time . . . . . . 93--122 Marcel F. Neuts Two Queues in Series with a Finite, Intermediate Waitingroom . . . . . . . . 123--142 D. Mejzler A Generalisation of Erlang's Formulas in Queueing Theory . . . . . . . . . . . . 143--157 U. Narayan Bhat Transient Behavior of Multi-Server Queues with Recurrent Input and Exponential Service Times . . . . . . . 158--168 Erhan Çinlar On the Superposition of $m$-Dimensional Point Processes . . . . . . . . . . . . 169--176 R. J. Beran Testing for Uniformity on a Compact Homogeneous Space . . . . . . . . . . . 177--195 Gedalia Ailam On Probability Properties of Measures of Random Sets and the Asymptotic Behavior of Empirical Distribution Functions . . 196--202 V. E. Benes Finite Regular Invariant Measures for Feller Processes . . . . . . . . . . . . 203--209 C. C. Heyde On the Converse to the Iterated Logarithm Law . . . . . . . . . . . . . 210--215 H. Rubin and D. Vere-Jones Domains of Attraction for the Subcritical Galton--Watson Branching Process . . . . . . . . . . . . . . . . 216--219 Barry C. Arnold A Modification of a Result Due to Moran 220--223 Marcel F. Neuts The Joint Distribution of the Virtual Waitingtime and the Residual Busy Period for the M/G/1 Queue . . . . . . . . . . 224--229 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Karlin Equilibrium Behavior of Population Genetic Models with Non-Random Mating 231--313 Edward Pollak On Random Genetic Drift in a Subdivided Population . . . . . . . . . . . . . . . 314--333 Prem S. Puri Interconnected Birth and Death Processes 334--349 R. G. Khazanie An Indication of the Asymptotic Nature of the Mendelian Markov Process . . . . 350--356 T. W. Mullikin Some Probability Distributions for Neutron Transport in a Half-Space . . . 357--374 J. G. Gilson Feynman Integral and Phase Space Probability . . . . . . . . . . . . . . 375--386 Jozef L. Teugels Exponential Ergodicity in Markov Renewal Processes . . . . . . . . . . . . . . . 387--400 Paul J. Schweitzer Perturbation Theory and Finite Markov Chains . . . . . . . . . . . . . . . . . 401--413 J. N. Darroch and K. W. Morris Passage-Time Generating Functions for Continuous-Time Finite Markov Chains . . 414--426 John P. Mullooly A One Dimensional Random Space-Filling Problem . . . . . . . . . . . . . . . . 427--435 G. F. Newell Queues with Time-Dependent Arrival Rates I:The Transition through Saturation . . 436--451 N. U. Prabhu Some New Results in Storage Theory . . . 452--460 Gerold Pestalozzi A Queue with Markov-Dependent Service Times . . . . . . . . . . . . . . . . . 461--466 John F. Reynolds On the Autocorrelation and Spectral Functions of Queues . . . . . . . . . . 467--475 T. Narasimham A Note on the Asymptotic Distribution of the Traffic-Time-Average in a GI/G/$ \infty $ with Bulk Arrivals . . . . . . 476--480 C. C. Heyde An Extension of the Hájek--Rényi Inequality for the Case without Conditions . . . . . . . . . . . . . . . 481--483 Anonymous Corrections: Stochastic Approach to Chemical Kinetics . . . . . . . . . . . 484--485 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Karlin Equilibrium Behavior of Population Genetic Models with Non-Random Mating: Part II: Pedigrees, Homozygosity and Stochastic Models . . . . . . . . . . . 487--566 P. Whittle Equilibrium Distributions for an Open Migration Process . . . . . . . . . . . 567--571 B. R. Bhat On an Extension of Gani's Model for Attachment of Phages to Bacteria . . . . 572--578 G. F. Newell Queues with Time-Dependent Arrival Rates: II. The Maximum Queue and the Return to Equilibrium . . . . . . . . . 579--590 G. F. Newell Queues with Time-Dependent Arrival Rates: III. A Mild Rush Hour . . . . . . 591--606 D. P. Gaver, Jr. Diffusion Approximations and Models for Certain Congestion Problems . . . . . . 607--623 Donald R. McNeil A Solution to the Fixed-Cycle Traffic Light Problem for Compound Poisson Arrivals . . . . . . . . . . . . . . . . 624--635 P. M. Wu Storage with Deterministic Outputs and Inputs Subject to Breakdown . . . . . . 636--647 D. G. Lampard A Stochastic Process Whose Successive Intervals between Events Form a First Order Markov Chain: I . . . . . . . . . 648--668 Jozef L. Teugels Exponential Ergodicity in Derived Markov Chains . . . . . . . . . . . . . . . . . 669--678 Richard Morton On the Dynamic Programming Approach to Pontriagin's Maximum Principle . . . . . 679--692 Morris Skibinsky Extreme nth Moments for Distributions on [0, 1] and the Inverse of a Moment Space Map . . . . . . . . . . . . . . . . . . 693--701 D. G. Tambouratzis On a Property of the Variance of the Waiting Time of a Queue . . . . . . . . 702--703 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
J. F. C. Kingman Markov Population Processes . . . . . . 1--18 Louis Jensen and Edward Pollak Random Selective Advantages of a Gene in a Finite Population . . . . . . . . . . 19--37 R. Coleman and J. L. Gastwirth Some Models for Interaction of Renewal Processes Related to Neuron Firing . . . 38--58 J. F. Bithell A Stochastic Model for the Breaking of Molecular Segments . . . . . . . . . . . 59--73 G. M. Tallis and R. T. Leslie General Models for $r$-Molecular Reactions . . . . . . . . . . . . . . . 74--87 P. A. P. Moran A Theory of Dams with Continuous Input and a General Release Rule . . . . . . . 88--98 Irwin Greenberg Some Duality Results in the Theory of Queues . . . . . . . . . . . . . . . . . 99--121 B. W. Conolly and N. Hadidi A Correlated Queue . . . . . . . . . . . 122--136 Donald P. Gaver, Jr. Highway Delays Resulting from Flow-Stopping Incidents . . . . . . . . 137--153 E. G. Enns The Trivariate Distribution of the Maximum Queue Length, the Number of Customers Served and the Duration of the Busy Period for the M/G/1 Queueing System . . . . . . . . . . . . . . . . . 154--161 Ora Engelberg Percus and Jerome K. Percus On the Distribution of the Number of Zero Partial Sums . . . . . . . . . . . 162--176 A. Tortrat Sur un Théor\`eme de Lewis et la Décomposition en Facteurs Premiers de la Loi Rectangulaire. (French) [On a theorem of Lewis and Decomposition in Prime Factors of the Rectangular Law] 177--185 J. Radcliffe and P. J. Staff First-Order Conservative Processes with Multiple Latent Roots . . . . . . . . . 186--194 Howard J. Weiner Sums of Lifetimes in Age Dependent Branching Processes . . . . . . . . . . 195--200 Edward Pollak Bounds for Certain Branching Processes 201--204 Kenny S. Crump and Charles J. Mode An Age-Dependent Branching Process with Correlations among Sister Cells . . . . 205--210 Edward S. Boylan Stability Theorems for Solutions to the Optimal Inventory Equation . . . . . . . 211--217 M. T. Wasan Sufficient Conditions for a First Passage Time Process to be That of Brownian Motion . . . . . . . . . . . . 218--223 J. C. Hardin and A. L. Sweet A Note on Absorption Probabilities for a Random Walk between a Reflecting and an Absorbing Barrier . . . . . . . . . . . 224--226 R. M. Phatarfod A Note on the First Emptiness Problem of a Finite Dam with Poisson Type Inputs 227--230 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
A. B. Chia and G. A. Watterson Demographic Effects on the Rate of Genetic Evolution: I. Constant Size Populations with Two Genotypes . . . . . 231--248 P. Jagers The Proportions of Individuals of Different Kinds in Two-Type Populations. A Branching Process Problem Arising in Biology . . . . . . . . . . . . . . . . 249--260 Norman Breslow On Large Sample Sequential Analysis with Applications to Survivorship Data . . . 261--274 Samuel Litwin The Distribution of Radioactive Recovery in Randomly Cut and Sedimented DNA . . . 275--284 Donald L. Iglehart Diffusion Approximations in Collective Risk Theory . . . . . . . . . . . . . . 285--292 Mark Brown Some Results on a Traffic Model of Rényi 293--300 A. M. V. Verhagen Random Size Trees on the One and Two Dimensional Integer Lattice . . . . . . 301--308 B. R. Bhat Used Item Replacement Policy . . . . . . 309--318 Z. W. Birnbaum and S. C. Saunders A New Family of Life Distributions . . . 319--327 Z. W. Birnbaum and S. C. Saunders Estimation for a Family of Life Distributions with Applications to Fatigue . . . . . . . . . . . . . . . . 328--347 Petr Mandl An Identity for Markovian Replacement Processes . . . . . . . . . . . . . . . 348--354 P. A. W. Lewis Asymptotic Properties and Equilibrium Conditions for Branching Poisson Processes . . . . . . . . . . . . . . . 355--371 R. T. Leslie Recurrence Times of Clusters of Poisson Points . . . . . . . . . . . . . . . . . 372--388 G. M. Tallis The Identifiability of Mixtures of Distributions . . . . . . . . . . . . . 389--398 H. E. Daniels The Minimum of a Stationary Markov Process Superimposed on a U-Shaped Trend 399--408 Eugene Lukacs A Characterization of Stable Processes 409--418 C. C. Heyde On the Maximum of Sums of Random Variables and the Supremum Functional for Stable Processes . . . . . . . . . . 419--429 Rodney Coleman Random Paths through Convex Bodies . . . 430--441 Lionel Weiss The Joint Asymptotic Distribution of the $k$-Smallest Sample Spacings . . . . . . 442--448 M. S. Bingham A Note on Stochastic Processes with Independent Increments Taking Values in an Abelian Group . . . . . . . . . . . . 449--452 Mark Brown An Invariance Property of Poisson Processes . . . . . . . . . . . . . . . 453--458 Duane C. Boes Note on the Output of a Queuing System 459--461 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Takeo Maruyama Genetic Correlation in the Stepping Stone Model with Non-Symmetrical Migration Rates . . . . . . . . . . . . 463--477 William E. Wilkinson On Calculating Extinction Probabilities for Branching Processes in Random Environments . . . . . . . . . . . . . . 478--492 Prem S. Puri Some New Results in the Mathematical Theory of Phage-Reproduction . . . . . . 493--504 J. Orriss Equilibrium Distributions for Systems of Chemical Reactions with Applications to the Theory of Molecular Adsorption . . . 505--515 Hisashi Mine and Tatsuyuki Asakura The Effect of an Age Replacement to a Standby Redundant System . . . . . . . . 516--523 Torbjörn Thedéen On Road Traffic with Free Overtaking . . 524--549 D. J. Daley The Total Waiting Time in a Busy Period of a Stable Single-Server Queue, I . . . 550--564 D. J. Daley and D. R. Jacobs, Jr. The Total Waiting Time in a Busy Period of a Stable Single-Server Queue, II . . 565--572 B. D. Craven Asymptotic Correlation in a Queue . . . 573--583 T. C. T. Kotiah and J. W. Thompson and W. A. O'N. Waugh Use of Erlangian Distributions for Single-Server Queueing Systems . . . . . 584--593 Nasser Hadidi On the Service Time Distribution and the Waiting Time Process of a Potentially Infinite Capacity Queueing System . . . 594--603 Mark Brown and Sheldon M. Ross Some Results for Infinite Server Poisson Queues . . . . . . . . . . . . . . . . . 604--611 W. J. Hall Embedding Submartingales in Wiener Processes with Drift, with Applications to Sequential Analysis . . . . . . . . . 612--632 Ole Barndorff-Nielsen and G. F. Yeo Negative Binomial Processes . . . . . . 633--647 D. J. Daley Integral Representations of Transition Probabilities and Serial Covariances of Certain Markov Chains . . . . . . . . . 648--659 J. F. C. Kingman Random Secants of a Convex Body . . . . 660--672 Norman C. Severo A Recursion Theorem on Solving Differential-Difference Equations and Applications to Some Stochastic Processes . . . . . . . . . . . . . . . 673--681 Meyer Dwass The Total Progeny in a Branching Process and a Related Random Walk . . . . . . . 682--686 S. R. Adke A Birth, Death and Migration Process . . 687--691 Sheldon M. Ross Optimal Dispatching of a Poisson Process 692--699 Adrienne W. Kemp and C. D. Kemp Branching and Clustering Models Associated with the `Lost-Games Distribution' . . . . . . . . . . . . . 700--703 Thomas L. Vlach and Ralph L. Disney The Departure Process from the GI/G/1 Queue . . . . . . . . . . . . . . . . . 704--707 P. D. Finch A Note on the Queueing System GI/E$_k$ /1 . . . . . . . . . . . . . . . . . . . 708--710 Paul T. Holmes and William E. Strawderman A Note on the Waiting Times between Record Observations . . . . . . . . . . 711--714 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Ora Engleberg Percus and Jerome K. Percus Extended Criterion for Comparison of Empirical Distributions . . . . . . . . 1--20 Richard A. Olshen and Leonard J. Savage A Generalized Unimodality . . . . . . . 21--34 H. Raynaud Sur l'Enveloppe Convexe des Nuages de Points Aléatoires dans $ R^n $. I. (French) [On the convex envelope of clouds of random points in $ R^n $. I] 35--48 Thomas G. Kurtz Solutions of Ordinary Differential Equations as Limits of Pure Jump Markov Processes . . . . . . . . . . . . . . . 49--58 W. J. Hall On Wald's Equations in Continuous Time 59--68 Barron Brainerd A Stochastic Process Related to Language Change . . . . . . . . . . . . . . . . . 69--78 John Haigh The Recovery of the Root of a Tree . . . 79--88 John Lamperti Maximal Branching Processes and `Long-Range Percolation' . . . . . . . . 89--98 C. W. Anderson Extreme Value Theory for a Class of Discrete Distributions with Applications to Some Stochastic Processes . . . . . . 99--113 Lajos Takács On the Fluctuations of Election Returns 114--123 Pushpa N. Rathie On a Generalized Entropy and a Coding Theorem . . . . . . . . . . . . . . . . 124--133 P. W. A. Dayananda Optimal Reinsurance . . . . . . . . . . 134--156 Ester Samuel On Some Problems in Operations Research 157--164 Albert W. Marshall and Frank Proschan Mean Life of Series and Parallel Systems 165--174 A. G. Hawkes Bunching in a Semi-Markov Process . . . 175--182 Roger B. Nelsen and Trevor Williams Random Displacements of Regularly Spaced Events . . . . . . . . . . . . . . . . . 183--195 Micha Yadin Queueing with Alternating Priorities, Treated as Random Walk on the Lattice in the Plane . . . . . . . . . . . . . . . 196--218 H. Ali Two Results in the Theory of Queues . . 219--226 N. U. Prabhu Limit Theorems for the Single Server Queue with Traffic Intensity One . . . . 227--233 Haskel Benishay Inflow-Stock-Outflow Time Series, Stochastic Lag and Disaggregation: A Note . . . . . . . . . . . . . . . . . . 234--239 C. L. Mallows and J. M. C. Clark Linear-Intercept Distributions Do Not Characterize Plane Sets . . . . . . . . 240--244 Victor Siskind The Fixed Cycle Traffic Light Problem: A Note on a Paper by McNeil . . . . . . . 245--248 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Correction: Negative Binomial Processes ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. K. Srinivasan and A. Rangan Age Dependent Stochastic Models for Phage Reproduction . . . . . . . . . . . 251--261 Samuel Karlin and Marcus W. Feldman Convergence to Equilibrium of the Two Locus Additive Viability Model . . . . . 262--271 P. J. Brockwell Stochastic Population Processes in the Theory of Radiative Transfer . . . . . . 272--290 M. S. Ali Khan Finite Dams with Inputs Forming a Markov Chain . . . . . . . . . . . . . . . . . 291--303 Donald R. McNeil A Theoretical Analysis of Congestion in a Two-Lane Freeway . . . . . . . . . . . 304--315 P. B. M. Roes The Finite Dam . . . . . . . . . . . . . 316--326 Ronald W. Wolff Work-Conserving Priorities . . . . . . . 327--337 David S. Newman A New Family of Point Processes Which Are Characterized by Their Second Moment Properties . . . . . . . . . . . . . . . 338--358 A. J. Lawrance Selective Interaction of a Poisson and Renewal Process: First-Order Stationary Point Results . . . . . . . . . . . . . 359--372 Richard Gordon On Monte Carlo Algebra . . . . . . . . . 373--387 C. K. Cheong Quasi-Stationary Distributions in Semi-Markov Processes . . . . . . . . . 388--399 Tore Schweder Composable Markov Processes . . . . . . 400--410 M. P. Quine The Multi-Type Galton--Watson Process with Immigration . . . . . . . . . . . . 411--422 A. L. Sweet and J. C. Hardin Solutions for Some Diffusion Processes with Two Barriers . . . . . . . . . . . 423--431 William E. Strawderman and Paul T. Holmes On the Law of the Iterated Logarithm for Inter-Record Times . . . . . . . . . . . 432--439 D. Jerwood A Note on the Cost of the Simple Epidemic . . . . . . . . . . . . . . . . 440--443 Norman C. Severo A Note on the Ehrenfest Multiurn Model 444--445 John F. Reynolds A Theorem on Discrete Time Branching Processes Allowing Immigration . . . . . 446--450 C. C. Heyde A Rate of Convergence Result for the Super-Critical Galton--Watson Process 451--454 D. A. Darling The Galton--Watson Process with Infinite Mean . . . . . . . . . . . . . . . . . . 455--456 D. G. Tambouratzis A Note on Belyaev's Limiting Distribution of the Intervals between Losses in an $n$-Server System . . . . . 457--464 A. G. Pakes A Note on the Queueing Systems GI/D/1 and D/G/1 . . . . . . . . . . . . . . . 465--468 Edward S. Boylan Further Existence Theorems for the Optimal Inventory Equation . . . . . . . 469--472 J. Henderson and P. D. Finch A Note on the Queueing System E$_k$ /G/1 473--475 S. K. Srinivasan and G. Rajamannar Selective Interaction between Two Independent Stationary Recurrent Point Processes . . . . . . . . . . . . . . . 476--482 A. J. Lawrance Selective Interaction of a Stationary Point Process and a Renewal Process . . 483--489 C. W. Kim Two Classification Theorems of States of Markov Chains . . . . . . . . . . . . . 490--496 R. C. Srivastava and A. B. L. Srivastava On a Characterization of Poisson Distribution . . . . . . . . . . . . . . 497--501 Stephen R. Kimbleton A Simple Proof of a Random Stable Limit Theorem . . . . . . . . . . . . . . . . 502--504 Gedalia Ailam and Mahabanoo N. Tata One-to-One Functions on the Positive Integers . . . . . . . . . . . . . . . . 505--507 David Kendall Obituary: Alfréd Rényi . . . . . . . . . . 509--522 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
H. J. Weiner On a Multi-Type Critical Age-Dependent Branching Process . . . . . . . . . . . 523--543 Niels G. Becker A Stochastic Model for Two Interacting Populations . . . . . . . . . . . . . . 544--564 Kenny S. Crump Migratory Populations in Branching Processes . . . . . . . . . . . . . . . 565--572 Hisashi Mine and Katsuhisa Ohno Low Density Inhomogeneous Traffic Flow 573--598 P. B. M. Roes The Finite Dam II . . . . . . . . . . . 599--616 S. Zacks and M. Yadin Analytic Characterization of the Optimal Control of a Queueing System . . . . . . 617--633 John A. Hooke On Some Limit Theorems for the GI/G/1 Queue . . . . . . . . . . . . . . . . . 634--640 Shunji Osaki and Tatsuyuki Asakura A Two-Unit Standby Redundant System with Repair and Preventive Maintenance . . . 641--648 Sheldon M. Ross Average Cost Semi-Markov Decision Processes . . . . . . . . . . . . . . . 649--656 Hisashi Mine and Yoshio Tabata Linear Programming and Continuous Markovian Decision Problems . . . . . . 657--666 B. Edwin Blaisdell and Herbert Solomon On Random Sequential Packing in the Plane and a Conjecture of Palásti . . . . 667--698 Julian Keilson and S. Subba Rao A Process with Chain Dependent Growth Rate . . . . . . . . . . . . . . . . . . 699--711 M. W. Suh and B. B. Bhattacharyya and A. Grandage On the Distribution and Moments of the Strength of a Bundle of Filaments . . . 712--720 Simeon M. Berman Occupation Times of Stationary Gaussian Processes . . . . . . . . . . . . . . . 721--733 Kenny S. Crump and David G. Hoel Some Applications of Renewal Theory on the Whole Line . . . . . . . . . . . . . 734--746 Donald L. Iglehart and Douglas P. Kennedy Weak Convergence of the Average of Flag Processes . . . . . . . . . . . . . . . 747--753 Augustus J. Fabens and Marcel F. Neuts The Limiting Distribution of the Maximum Term in a Sequence of Random Variables Defined on a Markov Chain . . . . . . . 754--760 H. J. Helgert On Sums of Random Variables Defined on a Two-State Markov Chain . . . . . . . . . 761--765 P. B. M. Roes On the Expected Number of Crossings of a Level in Certain Stochastic Processes 766--770 I. V. Basawa On a Characterization Property of Finite Irreducible Markov Chains . . . . . . . 771--775 Sheldon M. Ross Identifiability in GI/G/k Queues . . . . 776--780 A. J. Dobson Interval Estimates of Language Divergence Times . . . . . . . . . . . . 781--784 Z. Ivkovic and M. Kocher and C. V. Stanojevic On Random $n$-Fold Coincidences . . . . 785--787 Anonymous Correction: Quasi-Stationary Distributions in Semi-Markov Processes 788--788 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Stephen D. Durham Limit Theorems for a General Critical Branching Process . . . . . . . . . . . 1--16 Edward W. Weissner Multitype Branching Processes in Random Environments . . . . . . . . . . . . . . 17--31 A. G. Pakes Branching Processes with Immigration . . 32--42 E. Seneta On Invariant Measures for Simple Branching Processes . . . . . . . . . . 43--51 C. C. Heyde Some Central Limit Analogues for Super-Critical Galton--Watson Processes 52--59 Morton I. Kamien and Nancy L. Schwartz Expenditure Patterns for Risky R and D Projects . . . . . . . . . . . . . . . . 60--73 Ward Whitt Weak Convergence Theorems for Priority Queues: Preemptive-Resume Discipline . . 74--94 Sreekantan S. Nair A Single Server Tandem Queue . . . . . . 95--109 Ora Engelberg Percus and Jerome K. Percus Generating Functions for a Class of One-Dimensional Random Walks . . . . . . 110--117 A. Papoulis High Density Shot Noise and Gaussianity 118--127 D. J. Daley The Definition of a Multi-Dimensional Generalization of Shot Noise . . . . . . 128--135 Sidney I. Resnick Tail Equivalence and Its Applications 136--156 E. J. Hannan and P. J. Thomson Spectral Inference over Narrow Bands . . 157--169 A. J. Lawrance Selective Interaction of a Poisson and Renewal Process: The Dependency Structure of the Intervals between Responses . . . . . . . . . . . . . . . 170--183 S. Blumenthal and J. A. Greenwood and L. Herbach Superimposed Non-Stationary Renewal Processes . . . . . . . . . . . . . . . 184--192 I. V. Basawa Some Models Based on the Interaction of Two Independent Markovian Point Processes . . . . . . . . . . . . . . . 193--197 R. M. Phatarfod and T. P. Speed and A. M. Walker A Note on Random Walks . . . . . . . . . 198--201 B. W. Conolly Some Applications of the Theory of Infinite Capacity Service Systems to a Single Server System with Linearly State Dependent Service . . . . . . . . . . . 202--207 C. L. Mallows and J. M. C. Clark Corrections to ``\booktitleLinear-Intercept Distributions Do Not Characterize Plane Sets'' . . . . . . . . . . . . . . . . . 208--209 J. Gani Obituary: Sir Edward Collingwood . . . . 211+213--214 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Byron J. T. Morgan On the Solution of Differential Equations Arising in Some Attachment Models of Virology . . . . . . . . . . . 215--221 M. S. Bartlett Physical Nearest-Neighbour Models and Non-Linear Time-Series . . . . . . . . . 222--232 David Sankoff Branching Processes with Terminal Types: Application to Context-Free Grammars . . 233--240 Jacqueline Loris-Teghem On the Waiting Time Distribution in a Generalized GI/G/1 Queueing System . . . 241--251 Izzet Sahin Equilibrium Behavior of a Stochastic System with Secondary Input . . . . . . 252--260 Leonard Shaw Busy Periods in Vehicle Queues . . . . . 261--268 W. J. Padgett and C. P. Tsokos On a Stochastic Integral Equation of the Volterra Type in Telephone Traffic Theory . . . . . . . . . . . . . . . . . 269--275 J. P. Lehoczky A Note on the First Emptiness Time of an Infinite Reservoir with Inputs Forming a Markov Chain . . . . . . . . . . . . . . 276--284 Paul I. Feder and Thomas Stroud Sequential Decisions in the Control of a Space-Ship (Terminal Cost Proportional to Magnitude of Miss Distance) . . . . . 285--297 Chris P. Tsokos The Method of V. M. Popov for Differential Systems with Random Parameters . . . . . . . . . . . . . . . 298--310 Richard L. Tweedie Truncation Procedures for Non-Negative Matrices . . . . . . . . . . . . . . . . 311--320 Lajos Takács On the Comparison of a Theoretical and an Empirical Distribution Function . . . 321--330 Prem S. Puri A Method for Studying the Integral Functionals of Stochastic Processes with Applications: I. Markov Chain Case . . . 331--343 T. G. Kurtz Limit Theorems for Sequences of Jump Markov Processes Approximating Ordinary Differential Processes . . . . . . . . . 344--356 Petr Mandl Some Results on Markovian Replacement Processes . . . . . . . . . . . . . . . 357--365 F. K. Hwang and S. Lin On Generating a Random Sequence . . . . 366--373 A. E. Gibson and B. W. Conolly On Certain Unrestricted, Linear, Unit Step, Continuous Time Random Walks . . . 374--380 P. J. Pedler Occupation Times for Two State Markov Chains . . . . . . . . . . . . . . . . . 381--390 Julian Keilson Log-Concavity and Log-Convexity in Passage Time Densities of Diffusion and Birth-Death Processes . . . . . . . . . 391--398 Frank B. Knight Some Condensation Processes of McKean Type . . . . . . . . . . . . . . . . . . 399--406 R. A. Doney The Progeny of a Branching Process . . . 407--412 William K. Hall and Ralph L. Disney Finite Queues in Parallel under a Generalized Channel Selection Rule . . . 413--416 Ward Whitt Weak Convergence of First Passage Time Processes . . . . . . . . . . . . . . . 417--422 Arne Jensen and David Kendall Denumerable Markov Processes with Bounded Generators: A Routine for Calculating $ p_{ij}(\infty) $ . . . . . 423--427 R. J. Tomkins On an Inequality of Heyde . . . . . . . 428--429 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Corrections: An Extension of the Hájek--Rényi Inequality for the Case without Moment Conditions . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. Durbin Boundary-Crossing Probabilities for the Brownian Motion and Poisson Processes and Techniques for Computing the Power of the Kolmogorov--Smirnov Test . . . . 431--453 C. D. Cushen and R. L. Hudson A Quantum-Mechanical Central Limit Theorem . . . . . . . . . . . . . . . . 454--469 S. J. Galley A Stochastic Model for the Formation of a Planetary System . . . . . . . . . . . 470--479 Hisashi Mine and Katsuhisa Ohno Traffic Light Queues as a Generalization to Queueing Theory . . . . . . . . . . . 480--493 E. K. Kyprianou On the Quasi-Stationary Distribution of the Virtual Waiting Time in Queues with Poisson Arrivals . . . . . . . . . . . . 494--507 Shelby L. Brumelle On the Relation between Customer and Time Averages in Queues . . . . . . . . 508--520 Donald Gross and Carl M. Harris and James A. Lechner Stochastic Inventory Models with Bulk Demand and State-Dependent Leadtimes . . 521--534 Kneale T. Marshall and Ronald W. Wolff Customer Average and Time Average Queue Lengths and Waiting Times . . . . . . . 535--542 Richard V. Evans Programming Problems and Changes in the Stable Behavior of a Class of Markov Chains . . . . . . . . . . . . . . . . . 543--550 R. Morton On the Optimal Control of Stationary Diffusion Processes with Inaccessible Boundaries and no Discounting . . . . . 551--560 R. Morton On the Optimal Control of Stationary Diffusion Processes with Natural Boundaries and Discounted Cost . . . . . 561--572 Barry Belkin First Passage to a General Threshold for a Process Corresponding to Sampling at Poisson Times . . . . . . . . . . . . . 573--588 Krishna B. Athreya A Note on a Functional Equation Arising in Galton--Watson Branching Processes 589--598 G. C. Taylor Moments in Markovian Systems with Lumped States . . . . . . . . . . . . . . . . . 599--605 Olavi Hellman Optimal Search for a Randomly Moving Object in a Special Case . . . . . . . . 606--611 Jan Grandell A Note on Linear Estimation of the Intensity in a Doubly Stochastic Poisson Field . . . . . . . . . . . . . . . . . 612--614 R. C. Srivastava On a Characterization of the Poisson Process . . . . . . . . . . . . . . . . 615--616 Rasoul Haji and Gordon F. Newell A Relation between Stationary Queue and Waiting Time Distributions . . . . . . . 617--620 Sheldon M. Ross Goofspiel: The Game of Pure Strategy . . 621--625 Michael Skalsky A Note on the Estimation of the Mean of a Homogeneous Random Field . . . . . . . 626--629 D. G. Tambouratzis Study of a Special M/M/1 Queue . . . . . 630--631 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Edward Pollak On Survival Probabilities and Extinction Times for Some Branching Processes . . . 633--654 M. L. Samuels Distribution of the Branching-Process Population among Generations . . . . . . 655--667 P. J. Staff and M. K. Vagholkar Stationary Distributions of Open Markov Processes in Discrete Time with Application to Hospital Planning . . . . 668--680 János Galambos On a Model for a Fair Distribution of Gifts . . . . . . . . . . . . . . . . . 681--690 Lajos Takács Discrete Queues with One Server . . . . 691--707 Emlyn H. Lloyd A Note on the Time-Dependent and the Stationary Behaviour of a Semi-Infinite Reservoir Subject to a Combination of Markovian Inflows . . . . . . . . . . . 708--715 A. E. Gibson and B. W. Conolly On a Three-State Sojourn Time Problem 716--723 Mark Pinsky Recurrence for Markov Processes on $N$ Lines . . . . . . . . . . . . . . . . . 724--730 A. J. Lawrance Selective Interaction of a Poisson and Renewal Process: The Spectrum of the Intervals between Responses . . . . . . 731--744 James Pickands III The Two-Dimensional Poisson Process and Extremal Processes . . . . . . . . . . . 745--756 G. S. Marliss and J. R. McGregor The Construction of Limiting Distributions of Response Probabilities 757--766 E. J. Hannan Non-Linear Time Series Regression . . . 767--780 Sidney I. Resnick Products of Distribution Functions Attracted to Extreme Value Laws . . . . 781--793 Morris L. Eaton and Carl Morris and Herman Rubin On Extreme Stable Laws and Some Applications . . . . . . . . . . . . . . 794--801 Howard G. Hochman and Stephen E. Fienberg Some Renewal Process Models for Single Neuron Discharge . . . . . . . . . . . . 802--808 Edward A. Brill Point Processes Arising in Vehicular Traffic Flow . . . . . . . . . . . . . . 809--814 J. Gani and J. Lehoczky An Asymptotic Result in Traffic Theory 815--820 J. W. Cohen On the Busy Periods for the M/G/1 Queue with Finite and with Infinite Waiting Room . . . . . . . . . . . . . . . . . . 821--827 Asha Seth Kapadia The General $N$ Server Finite Queue . . 828--834 Izzet Sahin On the Single Server Queue with Preemptive Service Interruptions . . . . 835--837 Arthur Nádas Times to Intermittent and to Permanent Failures as Brownian Crossing Times . . 838--840 M. Pagano Some Asymptotic Properties of a Two-Dimensional Periodogram . . . . . . 841--847 L. Takács and John A. Hooke Letters to the Editor . . . . . . . . . 848--849 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Norman Kaplan A Theorem on Compositions of Random Probability Generating Functions and Applications to Branching Processes with Random Environments . . . . . . . . . . 1--12 J. Radcliffe An Immigration Super-Critical Branching Diffusion Process . . . . . . . . . . . 13--23 Y. S. Yang On Branching Processes Allowing Immigration . . . . . . . . . . . . . . 24--31 John P. Mullooly Maximum Likelihood Estimation for Stochastic $R$ th-Order Reactions . . . 32--42 S. K. Srinivasan and K. M. Mehata A Stochastic Model for Polymer Degradation . . . . . . . . . . . . . . 43--53 B. Littlewood and J. L. Verrall Equilibrium Distributions of Polymers on Sites Which Are Linearly Arrayed . . . . 54--64 D. A. Griffiths A Bivariate Birth-Death Process Which Approximates to the Spread of a Disease Involving a Vector . . . . . . . . . . . 65--75 M. S. Bartlett Physical Nearest-Neighbour Models and Non-Linear Time-Series. II. Further Discussion of Approximate Solutions and Exact Equations . . . . . . . . . . . . 76--86 Joseph Tomko The Rate of Convergence in Limit Theorems for Service Systems with Finite Queue Capacity . . . . . . . . . . . . . 87--102 H. Emmons The Optimal Admission Policy to a Multiserver Queue with Finite Horizon 103--116 E. K. Kyprianou On the Quasi-Stationary Distributions of the GI/M/1 Queue . . . . . . . . . . . . 117--128 P. J. Brockwell A Storage Model in Which the Net Growth-Rate Is a Markov Chain . . . . . 129--139 L. A. Santaló and I. Yañez Averages for Polygons Formed by Random Lines in Euclidean and Hyperbolic Planes 140--157 J. N. Darroch and Heather J. Whitford Exact Fluctuation Results for Markov-Dependent Coin-Tossing . . . . . 158--168 Chris P. Tsokos and M. A. Hamdan Stochastic Asymptotic Exponential Stability of Stochastic Integral Equations . . . . . . . . . . . . . . . 169--177 Marcel F. Neuts and Shun-Zer Chen The Infinite Server Queue with Semi-Markovian Arrivals and Negative Exponential Services . . . . . . . . . . 178--184 Ward Whitt Complements to Heavy Traffic Limit Theorems for the GI/G/1 Queue . . . . . 185--191 Jan M. Chaiken and Edward Ignall An Extension of Erlang's Formulas Which Distinguishes Individual Servers . . . . 192--197 Krishan Lall Arya Study of a Network of Serial and Non-Serial Servers with Phase Type Service and Finite Queueing Space . . . 198--201 Izzet Sahin and Oussama Achou On the Limiting Behaviour of a Basic Stochastic Process . . . . . . . . . . . 202--207 John F. Reynolds On Linearly Regressive Processes . . . . 208--213 John F. Reynolds Some Theorems on the Transient Covariance of Markov Chains . . . . . . 214--218 R. W. Shorrock A Limit Theorem for Inter-Record Times 219--223 János Galambos Characterization of Certain Populations by Independence of Order Statistics . . 224--230 W. J. Hendricks The Stationary Distribution of an Interesting Markov Chain . . . . . . . . 231--233 Anonymous Correction: Study of a Special M/M/1 Queue . . . . . . . . . . . . . . . . . 234--234 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
C. C. Heyde and E. Seneta Estimation Theory for Growth and Immigration Rates in a Multiplicative Process . . . . . . . . . . . . . . . . 235--256 J. Gani and D. Jerwood The Cost of a General Stochastic Epidemic . . . . . . . . . . . . . . . . 257--269 R. M. Capocelli and L. M. Ricciardi On the Inverse of the First Passage Time Probability Problem . . . . . . . . . . 270--287 Richard F. Serfozo Conditional Poisson Processes . . . . . 288--302 Richard F. Serfozo Processes with Conditional Stationary Independent Increments . . . . . . . . . 303--315 R. W. Shorrock On Record Values and Record Times . . . 316--326 N. S. Kambo and Samar Singh Best Asymptotic Value of the Error Exponent with Random Coding on Discrete Memoryless Channels . . . . . . . . . . 327--336 E. Laska and M. Meisner and C. Siegel Contributions to the Theory of Optimal Resource Allocation . . . . . . . . . . 337--359 J. C. Gittins Some Problems of Stochastic Resource Allocation . . . . . . . . . . . . . . . 360--369 Douglas P. Kennedy The Continuity of the Single Server Queue . . . . . . . . . . . . . . . . . 370--381 J. P. Lehoczky Traffic Intersection Control and Zero-Switch Queues under Conditions of Markov Chain Dependence Input . . . . . 382--395 John H. Jenkins The Relative Efficiency of Direct and Maximum Likelihood Estimates of Mean Waiting Time in the Simple Queue, M/M/1 396--403 H. G. Herbert An Infinite Discrete Dam with Dependent Inputs . . . . . . . . . . . . . . . . . 404--413 F. Downton The Area under the Infectives Trajectory of the General Stochastic Epidemic . . . 414--417 J. E. Besag Nearest-Neighbour Systems: A Lemma with Application to Bartlett's Global Solutions . . . . . . . . . . . . . . . 418--421 E. Çinlar and M. Pinsky On Dams with Additive Inputs and a General Release Rule . . . . . . . . . . 422--429 S. G. Mohanty On Queues Involving Batches . . . . . . 430--435 A. D. Proudfoot and D. G. Lampard A Random Walk Problem with Correlation 436--440 Robert A. Agnew Inequalities with Application in Economic Risk Analysis . . . . . . . . . 441--444 Torgny Lindvall Convergence of Critical Galton--Watson Branching Processes . . . . . . . . . . 445--450 Lennart Råde A Model for Interaction of a Poisson and a Renewal Process and Its Relation with Queuing Theory . . . . . . . . . . . . . 451--456 M. Ahsanullah and M. Rahman A Characterization of the Exponential Distribution . . . . . . . . . . . . . . 457--461 Ward Whitt Limits for the Superposition of $m$-Dimensional Point Processes . . . . 462--465 Jozef L. Teugels An Example on Geometric Ergodicity of a Finite Markov Chain . . . . . . . . . . 466--469 D. N. Shanbhag Letter to the Editor . . . . . . . . . . 470--470 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Richard J. Kryscio The Transition Probabilities of the Extended Simple Stochastic Epidemic Model and the Haskey Model . . . . . . . 471--485 W. A. O'N. Waugh Taboo Extinction, Sojourn Times, and Asymptotic Growth for the Markovian Birth and Death Process . . . . . . . . 486--506 Barron Brainerd On the Relation between Types and Tokens in Literary Text . . . . . . . . . . . . 507--518 Andrew D. Barbour The Principle of the Diffusion of Arbitrary Constants . . . . . . . . . . 519--541 Jan Grandell On the Estimation of Intensities in a Stochastic Process Generated by a Stochastic Intensity Sequence . . . . . 542--556 Hans Föllmer Optimal Stopping of Constrained Brownian Motion . . . . . . . . . . . . . . . . . 557--571 D. J. Emery Limiting Behaviour of the Distributions of the Maxima of Partial Sums of Certain Random Walks . . . . . . . . . . . . . . 572--579 D. N. Shanbhag Some Characterizations Based on the Bhattacharya Matrix . . . . . . . . . . 580--587 R. Schassberger On the Work Load Process in a General Preemptive Resume Priority Queue . . . . 588--603 S. K. Srinivasan and R. Subramanian and R. Vasudevan Correlation Functions in Queueing Theory 604--616 Bruce W. Turnbull Chebyshev-Like Inequalities for Dam Models . . . . . . . . . . . . . . . . . 617--629 Katsuhisa Ohno and Hisashi Mine Traffic Light Queues with Dependent Arrivals as a Generalization to Queueing Theory . . . . . . . . . . . . . . . . . 630--641 Jacqueline Loris-Teghem On the Waiting Time Distribution in a Generalized Queueing System with Uniformly Bounded Sojourn Times . . . . 642--649 Ward Whitt Embedded Renewal Processes in the GI/G/s Queue . . . . . . . . . . . . . . . . . 650--658 R. K. Watson On an Epidemic in a Stratified Population . . . . . . . . . . . . . . . 659--666 John F. Reynolds A Theorem on Markov Branching Processes 667--670 David C. Flaspohler and Paul T. Holmes Additional Quasi-Stationary Distributions for Semi-Markov Processes 671--676 Sheldon M. Ross On the Maximum of a Stationary Independent Increment Process . . . . . 677--680 Leon Podkaminer On the Distribution of the Number of Cyclically Occurring Random Events . . . 681--683 P. Ghosh and D. N. Shanbhag A Note on the Characterization of a U-Shaped Probability Density Function 684--685 Anonymous Correction: Non-Linear Time Series Regression . . . . . . . . . . . . . . . 686--686 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Peter Clifford and Aidan Sudbury The Linear Cell-Size-Dependent Branching Process . . . . . . . . . . . . . . . . 687--696 Howard J. Weiner A Multi-Type Critical Age-Dependent Branching Process with Immigration . . . 697--706 R. A. Doney A Limit Theorem for a Class of Supercritical Branching Processes . . . 707--724 John Donelson III and Fred Maltz A Comparison of Linear versus Non-Linear Prediction for Polynomial Functions of the Ornstein--Uhlenbeck Process . . . . 725--744 Roch Roy Spectral Analysis for a Random Process on the Circle . . . . . . . . . . . . . 745--757 P. M. Robinson Non-Linear Regression for Multiple Time-Series . . . . . . . . . . . . . . 758--768 Barry Belkin and Lawrence D. Stone and Martin Avery Snyder Crossing Problems for Non-Constant Thresholds and Certain Non-Markov Processes . . . . . . . . . . . . . . . 769--788 Choong K. Cheong and Jozef L. Teugels General Solidarity Theorems for Semi-Markov Processes . . . . . . . . . 789--802 A. Ben-Tal and E. Hochman More Bounds on the Expectation of a Convex Function of a Random Variable . . 803--812 Michael Orkin Recursive Matrix Games . . . . . . . . . 813--820 E. K. Kyprianou The Quasi-Stationary Distributions of Queues in Heavy Traffic . . . . . . . . 821--831 P. Bloomfield and D. R. Cox A Low Traffic Approximation for Queues 832--840 Barry C. Arnold The Waiting Time until First Duplication 841--846 L. Råde Limit Theorems for Thinning of Renewal Point Processes . . . . . . . . . . . . 847--851 J. Aczél On a Characterization of Poisson Distributions . . . . . . . . . . . . . 852--856 C. S. Smith A Note on Boundary-Crossing Probabilities for the Brownian Motion 857--861 D. W. Balmer A Single Server Queue in Discrete Time with Customers Served in Random Order 862--867 Douglas P. Kennedy A Note on the Number of Busy Servers in a GI/G/s Queue in Light Traffic . . . . 868--869 J. L. Doob Obituary: Paul Lévy . . . . . . . . . . . 871--872 F. Downton A Correction to ``\booktitleThe Area under the Infectives Trajectory of the General Stochastic Epidemic'' . . . . . 873--876 Anonymous Correction: A Limit Theorem for Inter-Record Times . . . . . . . . . . . 877--877 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
E. Renshaw Interconnected Population Processes . . 1--14 D. A. Griffiths Multivariate Birth-and-Death Processes as Approximations to Epidemic Processes 15--26 L. L. Helms Stochastic Formation of Hierarchies . . 27--38 A. G. Pakes Conditional Limit Theorems for a Left-Continuous Random Walk . . . . . . 39--53 P. A. P. Moran A Gaussian Markovian Process on a Square Lattice . . . . . . . . . . . . . . . . 54--62 D. A. Dawson Information Flow in Discrete Markov Systems . . . . . . . . . . . . . . . . 63--83 Richard L. Tweedie The Calculation of Limit Probabilities for Denumerable Markov Processes from Infinitesimal Properties . . . . . . . . 84--99 S. Beer and E. Lukacs Characterizations of the Normal Distribution by Suitable Transformations 100--108 Torgny Lindvall Weak Convergence of Probability Measures and Random Functions in the Function Space $ D[0, \infty) $ . . . . . . . . . 109--121 János Galambos The Distribution of the Maximum of a Random Number of Random Variables with Applications . . . . . . . . . . . . . . 122--129 E. J. Hannan The Asymptotic Theory of Linear Time-Series Models . . . . . . . . . . . 130--145 C. C. Heyde An Iterated Logarithm Result for Martingales and Its Application in Estimation Theory for Autoregressive Processes . . . . . . . . . . . . . . . 146--157 P. Whittle An Approximate Characterisation of Optimal Stopping Boundaries . . . . . . 158--165 R. M. Phatarfod and K. V. Mardia Some Results for Dams with Markovian Inputs . . . . . . . . . . . . . . . . . 166--180 Jacqueline Loris-Teghem An Algebraic Approach to the Waiting Time Process in GI/M/S . . . . . . . . . 181--191 A. G. Pakes On the Busy Period of the Modified GI/G/1 Queue . . . . . . . . . . . . . . 192--197 R. A. Doney On a Functional Equation for General Branching Processes . . . . . . . . . . 198--205 E. Seneta The Simple Branching Process with Infinite Mean. I . . . . . . . . . . . . 206--212 P. A. Pegg Some Ratio Identities for a Class of Skip Free Random Walks . . . . . . . . . 213--217 T. P. Speed A Note on Random Walks. II . . . . . . . 218--222 Nils Blomqvist A Heavy Traffic Result for the Finite Dam . . . . . . . . . . . . . . . . . . 223--228 T. P. Speed Some Remarks on a Result of Blomqvist 229--232 D. N. Shanbhag and D. G. Tambouratzis Erlang's Formula and Some Results on the Departure Process for a Loss System . . 233--240 Elizabeth Berman Regular Stochastic Matrices and Digraphs 241--243 P. A. P. Moran Obituary: Yu. V. Linnik . . . . . . . . 245--246 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Andris Abakuks An Optimal Isolation Policy for an Epidemic . . . . . . . . . . . . . . . . 247--262 Donald Ludwig Stochastic Approximation for the General Epidemic . . . . . . . . . . . . . . . . 263--276 L. Billard Factorial Moments and Probabilities for the General Stochastic Epidemic . . . . 277--288 Aidan Sudbury and Peter Clifford Some Results for General Cell-Size-Dependent Branching Processes 289--298 J. R. Leslie Some Limit Theorems for Markov Branching Processes . . . . . . . . . . . . . . . 299--306 S. Katz and P. Naor and R. Shinnar Moments of Age and Remaining Life in Renewal Processes . . . . . . . . . . . 307--316 A. G. Pakes On Dams with Markovian Inputs . . . . . 317--329 J. P. Lehoczky First-Emptiness Problems in Applied Probability under First-Order Dependent Input and General Output Conditions . . 330--342 J. W. Cohen Some Results on Regular Variation for Distributions in Queueing and Fluctuation Theory . . . . . . . . . . . 343--353 J. Michael Harrison Assembly-like Queues . . . . . . . . . . 354--367 Donald R. McNeil Diffusion Limits for Congestion Models 368--376 Allan H. Marcus Traffic Noise as a Filtered Markov Renewal Process . . . . . . . . . . . . 377--386 Sidney I. Resnick and R. J. Tomkins Almost Sure Stability of Maxima . . . . 387--401 Chandrakant M. Deo An Iterated Logarithm Law for Maxima of Nonstationary Gaussian Processes . . . . 402--408 R. S. Anderssen and F. R. De Hood and R. Weiss On the Numerical Solution of Brownian Motion Processes . . . . . . . . . . . . 409--418 David R. Brillinger Estimation of the Mean of a Stationary Time Series by Sampling . . . . . . . . 419--431 C. Cannings The Equivalence of Some Overlapping and Non-Overlapping Generation Models for the Study of Genetic Drift . . . . . . . 432--436 Basil Diamantis An Application of the Generating Function to the Solution of a Genetic Problem . . . . . . . . . . . . . . . . 437--440 John P. Mullooly Maximum Likelihood Estimation for Stochastic $r$ th-Order Reactions. II 441--446 Y. S. Yang Asymptotic Properties of the Stationary Measure of a Markov Branching Process 447--450 B. M. Brown and G. K. Eagleson Simpler Conditions for Wald Equations 451--455 J. C. Gittins Observations on a Result in Sequential Analysis by P. Whittle . . . . . . . . . 456--460 A. D. Proudfoot and D. G. Lampard The Divided Pooled Output of Several Strictly-Periodic Point Processes . . . 461--463 Bhu Dev Sharma and Ram Autar On Characterization of a Generalized Inaccuracy Measure in Information Theory 464--468 E. L. Melnick and S. Kullback An Application of the Minimum Discrimination Information Estimate to Compute Log-Likelihood Ratios . . . . . 469--474 T. J. Brown and J. C. Hardin A Note on Kendall's Autoregressive Series . . . . . . . . . . . . . . . . . 475--478 H. Ruben and W. J. Reed A More General Form of a Theorem of Crofton . . . . . . . . . . . . . . . . 479--482 P. A. P. Moran The Random Volume of Interpenetrating Spheres in Space . . . . . . . . . . . . 483--490 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Niels Becker Carrier-Borne Epidemics in a Community Consisting of Different Groups . . . . . 491--501 R. L. Hudson A Quantum-Mechanical Central Limit Theorem for Anti-Commuting Observables 502--509 E. J. Hannan The Estimation of Frequency . . . . . . 510--519 B. D. Craven The Spectral Density of a Markov Process 520--527 Laurens de Haan and Sidney I. Resnick Almost Sure Limit Points of Record Values . . . . . . . . . . . . . . . . . 528--542 R. W. Shorrock Record Values and Inter-Record Times . . 543--555 Dariush Haghighi-Talab and Christopher Wright On the Distribution of Records in a Finite Sequence of Observations, with an Application to a Road Traffic Problem 556--571 Gordon Pledger and Frank Proschan Stochastic Comparisons of Random Processes, with Applications in Reliability . . . . . . . . . . . . . . 572--585 Pranab Kumar Sen An Asymptotically Efficient Test for the Bundle Strength of Filaments . . . . . . 586--596 Matthew J. Sobel Continuous Stochastic Games . . . . . . 597--604 P. A. P. Moran Necessary Conditions for Markovian Processes on a Lattice . . . . . . . . . 605--612 J. Michael Harrison The Heavy Traffic Approximation for Single Server Queues in Series . . . . . 613--629 Michael A. Crane Queues in Transportation Systems, I: A Markovian System . . . . . . . . . . . . 630--643 Peter Purdue Non-Linear Matrix Integral Equations of Volterra Type in Queueing Theory . . . . 644--651 J. Radcliffe The Asymptotic Frequencies of the Types in a Multitype Age-Dependent Branching Process Allowing Immigration . . . . . . 652--658 Donald C. Raffety Random Environment Branching Processes with Equal Environmental Extinction Probabilities . . . . . . . . . . . . . 659--665 S. G. S. Shiva and N. U. Ahmed and N. D. Georganas Order Preserving Measures of Information 666--670 D. C. Boes and J. D. Salas-La Cruz On the Expected Range and Expected Adjusted Range of Partial Sums of Exchangeable Random Variables . . . . . 671--677 Erhan Çinlar and Peter Jagers Two Mean Values Which Characterize the Poisson Process . . . . . . . . . . . . 678--681 P. L. Davies A Class of Almost Nowhere Differentiable Stationary Gaussian Processes Which Are Somewhere Differentiable . . . . . . . . 682--684 Woolcott Smith Shot Noise Generated by a Semi-Markov Process . . . . . . . . . . . . . . . . 685--690 O. P. Sharma A Model for Queues in Series . . . . . . 691--696 P. J. Burville and J. F. C. Kingman On a Model for Storage and Search . . . 697--701 Anonymous Correction: Crossing Problems for Non-Constant Thresholds and Certain Non-Markov Processes . . . . . . . . . . 702--702 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. Radcliffe The Initial Geographical Spread of Host-Vector and Carrier-Borne Epidemics 703--717 S. Raman and C. L. Chiang On a Solution of the Migration Process and the Application to a Problem in Epidemiology . . . . . . . . . . . . . . 718--727 Ilan Eshel Clone-Selection and Optimal Rates of Mutation . . . . . . . . . . . . . . . . 728--738 P. J. Brockwell and W. H. Kuo Labelling Experiments and Phase-Age Distributions for Multiphase Branching Processes . . . . . . . . . . . . . . . 739--747 J. C. Gittins and M. J. Maher A Generalised Incomplete Beta Function and Its Application to Multi-Line Stock Control . . . . . . . . . . . . . . . . 748--760 Mark Brown and Herbert Solomon Optimal Issuing Policies under Stochastic Field Lives . . . . . . . . . 761--768 Richard Loulou Multi-Channel Queues in Heavy Traffic 769--777 Stig I. Rosenlund An M/G/1 Model with Finite Waiting Room in Which a Customer Remains during Part of Service . . . . . . . . . . . . . . . 778--785 M. Henke Expectations and Variances of Stopping Variables in Sequential Selection Processes . . . . . . . . . . . . . . . 786--806 M. Westcott Results in the Asymptotic and Equilibrium Theory of Poisson Cluster Processes . . . . . . . . . . . . . . . 807--823 Rudolf Ahlswede Channel Capacities for List Codes . . . 824--836 P. A. P. Moran A Central Limit Theorem for Exchangeable Variates with Geometric Applications . . 837--846 Lauri Saretsalo On the Optimal Search for a Target Whose Motion Is a Markov Process . . . . . . . 847--856 Marc Moore Non-Stationary Random Set Processes with Application to Pattern Reconstruction 857--863 Sidney I. Resnick Extremal Processes and Record Value Times . . . . . . . . . . . . . . . . . 864--868 L. M. Marsh An Expansion for the Distribution Function of a Random Sum . . . . . . . . 869--874 S. R. Paranjape and C. Park Distribution of the Supremum of the Two-Parameter Yeh--Wiener Process on the Boundary . . . . . . . . . . . . . . . . 875--880 H. Tong Some Comments on Spectral Representations of Non-Stationary Stochastic Processes . . . . . . . . . . 881--885 W. J. Hendricks An Extension of a Theorem concerning an Interesting Markov Chain . . . . . . . . 886--890 H. P. Wynn Limiting Second Moments for Transient States of Markov Chains . . . . . . . . 891--894 Murray A. Cameron A Note on Functions of Markov Processes with an Application to a Sequence of $ \chi^2 $ Statistics . . . . . . . . . . 895--900 Tapan P. Bagchi and J. G. C. Templeton A Note on the M$^X$ /G$^Y$ /1, $K$ Bulk Queueing System . . . . . . . . . . . . 901--906 J. Michael Harrison A Limit Theorem for Priority Queues in Heavy Traffic . . . . . . . . . . . . . 907--912 Anonymous Correction: The Asymptotic Theory of Linear Time-Series Models . . . . . . . 913--913 Anonymous Correction: On Characterization of a Generalized Inaccuracy Measure in Information Theory . . . . . . . . . . . 913--913 Anonymous Note to the Editor . . . . . . . . . . . 914--914 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ?? Anonymous Volume Information . . . . . . . . . . . ??
Louis Jensen Solving a Singular Diffusion Equation Occurring in Population Genetics . . . . 1--15 E. Renshaw Stepping Stone Models for Population Growth . . . . . . . . . . . . . . . . . 16--31 Annette J. Dobson Unrooted Trees for Numerical Taxonomy 32--42 V. R. R. Uppuluri and W. J. Blot Asymptotic Properties of the Number of Replications of a Paired Comparison . . 43--52 H. Tong On Time-Dependent Linear Transformations of Non-Stationary Stochastic Processes 53--62 R. F. Galbraith and J. I. Galbraith On the Inverses of Some Patterned Matrices Arising in the Theory of Stationary Time Series . . . . . . . . . 63--71 S. M. Samuels A Characterization of the Poisson Process . . . . . . . . . . . . . . . . 72--85 Bernard J. McCabe Searching for a One-Dimensional Random Walker . . . . . . . . . . . . . . . . . 86--93 Masao Nakamura Some Limit Theorems for a Class of Network Problems as Related to Finite Markov Chains . . . . . . . . . . . . . 94--101 Toshio Nakagawa and Shunji Osaki Optimum Replacement Policies with Delay 102--110 M. J. Faddy Optimal Control of Finite Dams: Discrete ($2$-Stage) Output Procedure . . . . . . 111--121 G. F. Yeo A Finite Dam with Exponential Release 122--133 S. K. Srinivasan Analytic Solution of a Finite Dam Governed by a General Input . . . . . . 134--144 Michael A. Crane Queues in Transportation Systems, II: An Independently-Dispatched System . . . . 145--158 D. P. Heyman An Approximation for the Busy Period of the M/G/1 Queue Using a Diffusion Model 159--169 J. Radcliffe A Note on the Recurrence of Yellow Fever Epidemics in Urban Populations . . . . . 170--173 Peter Jagers Galton--Watson Processes in Varying Environments . . . . . . . . . . . . . . 174--178 C. L. Mallows Another Definition of Genealogical Distance . . . . . . . . . . . . . . . . 179--183 G. Matheron Un Théor\`eme d'Unicité Pour Les Hyperplans Poissoniens. (French) [A uniqueness theorem for Poissonian hyperplanes] . . . . . . . . . . . . . . 184--189 M. B. Rajarshi Success Runs in a Two-State Markov Chain 190--192 Edward P. C. Kao A Note on the First Two Moments of Times in Transient States in a Semi-Markov Process . . . . . . . . . . . . . . . . 193--198 Noel Cressie A Two-Dimensional Random Walk in the Presence of a Partially Reflecting Barrier . . . . . . . . . . . . . . . . 199--205 P. J. Brockwell Deviations from Monotonicity of a Wiener Process with Drift . . . . . . . . . . . 206--210 D. N. Shanbhag An Elementary Proof for the Rao--Rubin Characterization of the Poisson Distribution . . . . . . . . . . . . . . 211--215 J. S. Huang On a Theorem of Ahsanullah and Rahman 216--218 János Galambos A Limit Theorem with Applications in Order Statistics . . . . . . . . . . . . 219--222 Anonymous Correction: Multivariate Birth-and-Death Processes as Approximations to Epidemic Processes . . . . . . . . . . . . . . . 223--223 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Norman Kaplan Multidimensional Age-Dependent Branching Processes Allowing Immigration: The Limiting Distribution . . . . . . . . . 225--236 W. A. O'N. Waugh Modes of Growth of Counting Processes with Increasing Arrival Rates . . . . . 237--247 W. A. O'N. Waugh Asymptotic Growth of a Class of Size-and-Age-Dependent Birth Processes 248--254 J. C. Gittins Resource Allocation in Speculative Chemical Research . . . . . . . . . . . 255--265 Shoichi Nishimura Random Collision Processes and Their Limiting Distribution Using the Discrimination Information . . . . . . . 266--280 Peter J. Cooke Bounds for Coverage Probabilities with Applications to Sequential Coverage Problems . . . . . . . . . . . . . . . . 281--293 Norman Starr Optimal and Adaptive Stopping Based on Capture Times . . . . . . . . . . . . . 294--301 N. U. Ahmed and K. L. Teo Optimal Feedback Control of Stochastic McShane Differential Systems . . . . . . 302--309 Valerie Isham The Effect of Intermittent Exposure to Risk on Failure Time Distributions . . . 310--319 Hans D. Unkelbach and Helmut Wegmann The Number of Meetings in Free Poisson Traffic . . . . . . . . . . . . . . . . 320--331 H. G. Herbert Some Approximate Results for Storage Systems with Continuous Inputs . . . . . 332--344 Bent Natvig On the Transient State Probabilities for a Queueing Model Where Potential Customers Are Discouraged by Queue Length . . . . . . . . . . . . . . . . . 345--354 Douglas P. Kennedy Limiting Diffusions for the Conditioned M/G/1 Queue . . . . . . . . . . . . . . 355--362 Samuel Litwin The Distribution on the Shortest Distance between Random Cuts on Opposite Strands of DNA . . . . . . . . . . . . . 363--368 B. F. Logan and L. A. Shepp A Birth and Death Model of Neuron Firing 369--373 Marc Moore Anisotropically Random Mosaics . . . . . 374--376 P. Whittle and J. Rudge The Optimal Linear Solution of a Symmetric Team Control Problem . . . . . 377--381 Jan-Erik Karlsson A Stochastic Model for Time Lag in Reporting of Claims . . . . . . . . . . 382--387 Herman Callaert Geometric and Exponential Decay in Derived Markov Chains . . . . . . . . . 388--393 B. J. N. Blight and J. L. Devore The Recursive Estimation of a Markov Chain . . . . . . . . . . . . . . . . . 394--400 K. C. Chanda Strong Mixing Properties of Linear Stochastic Processes . . . . . . . . . . 401--408 Matthew Goldstein Some Inequalities on Variances . . . . . 409--412 Joseph B. Kadane A Characterization of Triangular Arrays Which Are Expectations of Order Statistics . . . . . . . . . . . . . . . 413--416 Sheldon M. Ross Bounds on the Delay Distribution in GI/G/1 Queues . . . . . . . . . . . . . 417--421 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Byron J. T. Morgan On the Distribution of Inanimate Marks over a Linear Birth-and-Death Process 423--436 Beno\^\it Mandelbrot A Population Birth-and-Mutation Process, I: Explicit Distributions for the Number of Mutants in an Old Culture of Bacteria 437--444 Jenö Gazdag and José Canosa Numerical Solution of Fisher's Equation 445--457 Howard J. Weiner Total Progeny in a Multitype Critical Age Dependent Branching Process with Immigration . . . . . . . . . . . . . . 458--470 Peter Jagers Convergence of General Branching Processes and Functionals Thereof . . . 471--478 R. Hafner and W. Sendler Some Asymptotic Results on Multiple Matching . . . . . . . . . . . . . . . . 479--492 Alan G. Hawkes and David Oakes A Cluster Process Representation of a Self-Exciting Process . . . . . . . . . 493--503 Mark C. K. Yang Recognizing the Maximum of a Random Sequence Based on Relative Rank with Backward Solicitation . . . . . . . . . 504--512 D. M. Titterington An Example of a Perturbation-Type Extremum Controller . . . . . . . . . . 513--520 Domokos Szász A Limit Theorem for Semi-Markov Processes . . . . . . . . . . . . . . . 521--528 Horand Störmer On the Distribution of Attributes in Organizations . . . . . . . . . . . . . 529--543 Julian Köllerström Heavy Traffic Theory for Queues with Several Servers. I . . . . . . . . . . . 544--552 Pyke Tin and R. M. Phatarfod On Infinite Dams with Inputs Forming a Stationary Process . . . . . . . . . . . 553--561 J. Radcliffe The Periodicity of Endemic Malaria . . . 562--567 L. Billard The Recurrent Epidemic . . . . . . . . . 568--571 C. C. Heyde and E. Seneta Notes on ``\booktitleEstimation Theory for Growth and Immigration Rates in a Multiplicative Process'' . . . . . . . . 572--577 Herbert T. Davis Asymptotic Properties of Certain Functionals of the Periodogram . . . . . 578--581 G. L. O'Brien Limit Theorems for Sums of Chain-Dependent Processes . . . . . . . 582--587 J. P. Imhof Runs of a Discrete Time Regenerative Phenomenon . . . . . . . . . . . . . . . 588--593 D. A. Dawson Information Flow in Some Classes of Markov Systems . . . . . . . . . . . . . 594--600 Pedro Vit On the Equivalence of Certain Truncated Point Processes . . . . . . . . . . . . 601--604 J. S. Huang Characterizations of the Exponential Distribution by Order Statistics . . . . 605--608 A. C. Dallas A Characterization of the Geometric Distribution . . . . . . . . . . . . . . 609--611 Lajos Takács A Single-Server Queue with Limited Virtual Waiting Time . . . . . . . . . . 612--617 B. W. Conolly The Generalised State-Dependent Erlangian Queue: The Busy Period . . . . 618--623 R. M. Phatarfod Note on the Reversible Counters System of Lampard . . . . . . . . . . . . . . . 624--628 Michael A. Crane Multi-Server Assembly Queues . . . . . . 629--632 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
C. Cannings Genetic Drift with Polygamy and Arbitrary Offspring Distribution . . . . 633--641 D. Jerwood The Cost of a Carrier-Borne Epidemic . . 642--651 A. G. Pakes and Norman Kaplan On the Subcritical Bellman--Harris Process with Immigration . . . . . . . . 652--668 D. R. Grey Asymptotic Behaviour of Continuous Time, Continuous State-Space Branching Processes . . . . . . . . . . . . . . . 669--677 Edgar Z. Ganuza and S. D. Durham Mean-Square and Almost-Sure Convergence of Supercritical Age-Dependent Branching Processes . . . . . . . . . . . . . . . 678--686 Jean-Pierre Dion Estimation of the Mean and the Initial Probabilities of a Branching Process . . 687--694 K. B. Athreya and P. R. Parthasarathy and G. Sankaranarayanan Supercritical Age-Dependent Branching Processes with Immigration . . . . . . . 695--702 Shoichi Nishimura Random Collision Processes with Transition Probabilities Belonging to the Same Type of Distribution . . . . . 703--714 M. S. Bartlett Physical Nearest-Neighbour Models and Non-Linear Time-Series: III Non-Zero Means and Sub-Critical Temperatures . . 715--725 Richard L. Tweedie Quasi-Stationary Distributions for Markov Chains on a General State Space 726--741 Donald L. Iglehart Random Walks with Negative Drift Conditioned to Stay Positive . . . . . . 742--751 D. N. Shanbhag Some Extensions of Takác's Limit Theorems 752--761 H. A. David and J. Galambos The Asymptotic Theory of Concomitants of Order Statistics . . . . . . . . . . . . 762--770 Jacob Grinstein and Michael Rubinovitch Queues with Random Service Output: The Case of Poisson Arrivals . . . . . . . . 771--784 Oliver S. Yu Stochastic Bounds for Heterogeneous-Server Queues with Erlang Service Times . . . . . . . . . . . . . 785--796 F. Garwood The Vectorial Representation of the Frequency of Encounters of Freely Flowing Vehicles . . . . . . . . . . . . 797--808 S. D. Durham Limiting Distributions for the General Branching Process with Immigration . . . 809--813 A. G. Pakes On Supercritical Galton--Watson Processes Allowing Immigration . . . . . 814--817 Gérard Letac Transience and Recurrence of an Interesting Markov Chain . . . . . . . . 818--824 D. C. McNickle The Number of Departures from a Semi-Markov Queue . . . . . . . . . . . 825--828 Dean Isaacson and Richard Madsen Positive Columns for Stochastic Matrices 829--835 Laurens De Haan Weak Limits of Sample Range . . . . . . 836--841 Nasser Hadidi Busy Period of Queues with State Dependent Arrival and Service Rates . . 842--848 Austin J. Lemoine On Two Stationary Distributions for the Stable GI/G/1 Queue . . . . . . . . . . 849--852 T. Gergely and T. L. Török On the Busy Period of Discrete-Time Queues . . . . . . . . . . . . . . . . . 853--857 P. S. Collings Dams with Random Outputs . . . . . . . . 858--861 Anonymous Corrections: On the Distribution of Inanimate Marks over a Linear Birth-and-Death Process . . . . . . . . 862--862 Anonymous Corrections: The Generalised State-Dependent Erlangian Queue: The Busy Period . . . . . . . . . . . . . . 862--862 Anonymous Corrections: Some Asymptotic Results on Multiple Matching . . . . . . . . . . . 862--862 Anonymous Volume Information . . . . . . . . . . . 863--865 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Prem S. Puri A Linear Birth and Death Process under the Influence of Another Process . . . . 1--17 M. S. A-Hameed and F. Proschan Shock Models with Underlying Birth Process . . . . . . . . . . . . . . . . 18--28 L. Billard General Stochastic Epidemic with Recovery . . . . . . . . . . . . . . . . 29--38 Alan Agresti On the Extinction Times of Varying and Random Environment Branching Processes 39--46 Norman Kaplan and Aidan Sudbury and Trygve S. Nilsen A Branching Process with Disasters . . . 47--59 Mioara Buiculescu On Quasi-Stationary Distributions for Multi-Type Galton--Watson Processes . . 60--68 David Oakes The Markovian Self-Exciting Process . . 69--77 L. Adamopoulos Some Counting and Interval Properties of the Mutually-Exciting Processes . . . . 78--86 D. W. Balmer On a Quickest Detection Problem with Costly Information . . . . . . . . . . . 87--97 K. Gopalsamy and A. T. Bharucha-Reid On a Class of Parabolic Differential Equations Driven by Stochastic Point Processes . . . . . . . . . . . . . . . 98--106 John A. Beekman Asymptotic Distributions for the Ornstein--Uhlenbeck Process . . . . . . 107--114 S. D. Sharma On a Continuous/Discrete Time Queueing System with Arrivals in Batches of Variable Size and Correlated Departures 115--129 Norman Kaplan A Note on the Age-Dependent Branching Process with Immigration . . . . . . . . 130--134 Niels Keiding and John E. Nielsen Branching Processes with Varying and Random Geometric Offspring Distributions 135--141 Barry C. Arnold Multivariate Exponential Distributions Based on Hierarchical Successive Damage 142--147 Mark C. K. Yang On the Distribution of the Inter-Record Times in an Increasing Population . . . 148--154 M. Goldstein Some Remarks on Probability Inequalities for Sums of Bounded Convex Random Variables . . . . . . . . . . . . . . . 155--158 Sidney I. Resnick and Michael Rubinovitch The Behavior near the Origin of the Supremum Functional in a Process with Stationary Independent Increments . . . 159--160 Richard L. Tweedie Truncation Approximation of the Limit Probabilities for Denumerable Semi-Markov Processes . . . . . . . . . 161--163 Aaron Tenenbein Distribution of Minimum Path . . . . . . 164--166 Mats Rudemo Some Non-Stationary Point Processes with Stationary Forward Recurrence Time Distribution . . . . . . . . . . . . . . 167--169 Jean Jacod Two Dependent Poisson Processes Whose Sum Is Still a Poisson Process . . . . . 170--172 C. C. Heyde A Supplement to the Strong Law of Large Numbers . . . . . . . . . . . . . . . . 173--175 G. K. Eagleson On Gordin's Central Limit Theorem for Stationary Processes . . . . . . . . . . 176--179 Jay C. Hardin and Thomas J. Brown Further Results on Kendall's Autoregressive Series . . . . . . . . . 180--182 Michael F. Driscoll The Signal-Noise Problem: A Solution for the Case That Signal and Noise Are Gaussian and Independent . . . . . . . . 183--187 C. W. Anderson Weak Convergence in an Appointment System . . . . . . . . . . . . . . . . . 188--194 K. C. Madan On a Certain Type of Network of Queues 195--200 Stig I. Rosenlund Busy Period of a Finite Queue with Phase Type Service . . . . . . . . . . . . . . 201--204 G. F. Yeo A Finite Dam with Variable Release Rate 205--211 P. J. Brockwell and K. L. Chung Emptiness Times of a Dam with Stable Input and General Release Function . . . 212--217 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Fred Hoppe Stationary Measures for Multitype Branching Processes . . . . . . . . . . 219--227 B. M. Brown and J. I. Hewitt Asymptotic Likelihood Theory for Diffusion Processes . . . . . . . . . . 228--238 Shoichi Nishimura An Inequality for a Metric in a Random Collision Process . . . . . . . . . . . 239--247 Mynda Schreuer Stochastic Pursuit-Evasion Games with Information Lag: I. Perfect Observation 248--256 A. J. Lawrance and P. A. W. Lewis Properties of the Bivariate Delayed Poisson Process . . . . . . . . . . . . 257--268 Olav Kallenberg Limits of Compound and Thinned Point Processes . . . . . . . . . . . . . . . 269--278 N. Veraverbeke and J. L. Teugels The Exponential Rate of Convergence of the Distribution of the Maximum of a Random Walk . . . . . . . . . . . . . . 279--288 Andrew D. Barbour Limit Theorems for Processes Such as the Markov Branching Process . . . . . . . . 289--297 Arie Hordijk and Paul J. Schweitzer and Henk Tijms The Asymptotic Behaviour of the Minimal Total Expected Cost for the Denumerable State Markov Decision Model . . . . . . 298--305 Vacláv Chvátal and David Sankoff Longest Common Subsequences of Two Random Sequences . . . . . . . . . . . . 306--315 R. W. Shorrock Extremal Processes and Random Measures 316--323 Allan Gut Weak Convergence and First Passage Times 324--332 Richard W. Madsen Decidability of $ \alpha (P^k) > 0 $ for Some $k$ . . . . . . . . . . . . . . . . 333--340 Norman Kaplan A Note on the Supercritical Generalized Age-Dependent Branching Process . . . . 341--345 R. Schassberger Basic Analysis of a Head-of-the-Line Priority Queue with Renewal Type Input 346--352 Peter Purdue A Queue with Poisson Input and Semi-Markov Service Times: Busy Period Analysis . . . . . . . . . . . . . . . . 353--357 B. W. Conolly Generalized State-Dependent Erlangian Queues: Speculations about Calculating Measures of Effectiveness . . . . . . . 358--363 James L. Dolby and Herbert Solomon Information Density Phenomena and Random Packing . . . . . . . . . . . . . . . . 364--370 Marek Kanter Autoregression for Discrete Processes Mod 2 . . . . . . . . . . . . . . . . . 371--375 G. S. Davies Maintainability of Structures in Markov Chain Models under Recruitment Control 376--382 D. J. Daley and R. K. Milne Orderliness, Intensities and Palm--Khinchin Equations for Multivariate Point Processes . . . . . . 383--389 Felix Pollaczek Order Statistics of Partial Sums of Mutually Independent Random Variables 390--395 P. Bremaud An Extension of Watanabe's Theorem of Characterization of Poisson Processes over the Positive Real Half Line . . . . 396--399 Ignacy I. Kotlarski and William E. Hinds Characterization Theorems Using Conditional Expectations . . . . . . . . 400--406 Ram Autar On a Characterization of Information Improvement . . . . . . . . . . . . . . 407--411 J. W. Thompson A Note on the Lévy Distance . . . . . . . 412--414 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Richard J. Kryscio The Transition Probabilities of the General Stochastic Epidemic Model . . . 415--424 Michael Woodroofe and Bruce Hill On Zipf's Law . . . . . . . . . . . . . 425--434 Valerie Isham On a Point Process with Independent Locations . . . . . . . . . . . . . . . 435--446 Roy Saunders Conservative Processes with Stochastic Rates . . . . . . . . . . . . . . . . . 447--456 W. F. Foster Optimal Reserves Growth under a Wiener Process . . . . . . . . . . . . . . . . 457--465 V. Barnett A Simple Random Walk on Parallel Axes Moving at Different Rates . . . . . . . 466--476 Ishay Weissman Multivariate Extremal Processes Generated by Independent Non-Identically Distributed Random Variables . . . . . . 477--487 H. Tong Determination of the Order of a Markov Chain by Akaike's Information Criterion 488--497 G. G. S. Pegram A Multinomial Model for Transition Probability Matrices . . . . . . . . . . 498--506 Henry Braun Polynomial Bounds for Probability Generating Functions . . . . . . . . . . 507--514 John T. Kent A Weak Convergence Theorem for the Empirical Characteristic Function . . . 515--523 Bent Natvig On the Waiting-Time and Busy Period Distributions for a General Birth-and-Death Queueing Model . . . . . 524--532 P. S. Collings Dams with Autoregressive Inputs . . . . 533--541 F. P. Kelly Networks of Queues with Customers of Different Types . . . . . . . . . . . . 542--554 A. G. Pakes On the Tails of Waiting-Time Distributions . . . . . . . . . . . . . 555--564 K. Wickwire A Note on the Optimal Control of Carrier-Borne Epidemics . . . . . . . . 565--568 S. D. Durham An Optimal Branching Migration Process 569--573 Warren W. Esty The Reverse Galton--Watson Process . . . 574--580 Howard J. Weiner Conditional Moments in a Critical Age-Dependent Branching Process . . . . 581--587 B. M. Brown and J. I. Hewitt Inference for the Diffusion Branching Process . . . . . . . . . . . . . . . . 588--594 John P. Dirkse An Absorption Probability for the Ornstein--Uhlenbeck Process . . . . . . 595--599 Marlin U. Thomas Some Mean First-Passage Time Approximations for the Ornstein--Uhlenbeck Process . . . . . . 600--604 Joseph A. Yahav On a Fixed Point Theorem and Its Stochastic Equivalent . . . . . . . . . 605--611 Seymour M. Kwerel Most Stringent Bounds on the Probability of the Union and Intersection of $m$ Events for Systems Partially Specified by $ S_1, S_2, \cdots S_k, 2 \leq k < m$ 612--619 M. H. Smith A Secretary Problem with Uncertain Employment . . . . . . . . . . . . . . . 620--624 Ester Samuel-Cahn Asymptotic Distribution for the Coupon-Collector's and Sampling-Tagging Problems, When Tagging Affects Catchability . . . . . . . . . . . . . . 625--628 B. Saperstein Note on a Clustering Problem . . . . . . 629--632 P. J. Thomson and K. M. Wilkinson A Note on Harris's Condition for Recurrence in Random Walk Processes . . 633--634 N. S. Barnett A Further Note on Duality of Random Walks . . . . . . . . . . . . . . . . . 635--638 R. M. Phatarfod On the Reversible Counters System of Lampard . . . . . . . . . . . . . . . . 639--646 G. G. S. Pegram Recurrence Times of Draft-Patterns from Reservoirs . . . . . . . . . . . . . . . 647--652 G. L. O'Brien Inequalities for Queues with Dependent Interarrival and Service Times . . . . . 653--656 Anonymous Corrections: Limiting Distributions for the General Branching Process with Immigration . . . . . . . . . . . . . . 657--657 Anonymous Corrections: Further Results on Kendall's Autoregressive Series . . . . 658--659 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
M. Frank Norman An Ergodic Theorem for Evolution in a Random Environment . . . . . . . . . . . 661--672 G. R. Grimmett A Non-Markovian Birth Process with Logarithmic Growth . . . . . . . . . . . 673--683 G. A. Keenay and R. W. Morgan and K. H. Ray Convergence Properties of Age Distributions . . . . . . . . . . . . . 684--691 Will T. Rasmussen and Herbert Robbins The Candidate Problem with Unknown Population Size . . . . . . . . . . . . 692--701 David J. Strauss Analysing Binary Lattice Data with the Nearest-Neighbor Property . . . . . . . 702--712 J. Wolfowitz Signalling over a Gaussian Channel with Feedback and Autoregressive Noise . . . 713--723 Israel Bar-David Radon--Nikodym Derivatives, Passages and Maxima for a Gaussian Process with Particular Covariance and Mean . . . . . 724--733 Toshio Mori Ergodicity and Identifiability for Random Translations of Stationary Point Processes . . . . . . . . . . . . . . . 734--743 Richard L. Tweedie The Robustness of Positive Recurrence and Recurrence of Markov Chains under Perturbations of the Transition Probabilities . . . . . . . . . . . . . 744--752 David Griffeath Uniform Coupling of Non-Homogeneous Markov Chains . . . . . . . . . . . . . 753--762 O. J. Boxma The Single-Server Queue with Random Service Output . . . . . . . . . . . . . 763--778 Per Hokstad The G/M/m Queue with Finite Waiting Room 779--792 Roy Saunders Limiting Results for Carrier-Borne Epidemics . . . . . . . . . . . . . . . 793--799 Douglas P. Kennedy The Galton--Watson Process Conditioned on the Total Progeny . . . . . . . . . . 800--806 Mark Brown and Sheldon Ross and Richard Shorrock Evacuation of a Yule Process with Immigration . . . . . . . . . . . . . . 807--811 Luis G. Gorostiza Convergence of Transport Processes with Radially Symmetric Direction Changes, and Chain Molecules . . . . . . . . . . 812--816 Franz Streit Results on the Intersection of Randomly Located Sets . . . . . . . . . . . . . . 817--823 Arthur H. C. Chan Some Lower Bounds for the Distribution of the Supremum of the Yeh--Wiener Process over a Rectangular Region . . . 824--830 Gideon Weiss Time-Reversibility of Linear Stochastic Processes . . . . . . . . . . . . . . . 831--836 Kai Lai Chung A Bivariate Distribution in Regeneration 837--839 W. J. Park The Law of the Iterated Logarithm for Brownian Sheets . . . . . . . . . . . . 840--844 Ram Autar and Raminder Singh Soni Inaccuracy and a Coding Theorem . . . . 845--851 Robert A. Agnew Inequalities with Application in Retail Inventory Analysis . . . . . . . . . . . 852--858 Stanley R. Pliska A Diffusion Process Model for the Optimal Operation of a Reservoir System 859--863 Anonymous Correction: Order Statistics of Partial Sums of Mutually Independent Random Variables . . . . . . . . . . . . . . . 864--864 Anonymous Volume Information . . . . . . . . . . . 865--868 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Knut Aase A Note on a Singular Diffusion Equation in Population Genetics . . . . . . . . . 1--8 M. P. Quine Bounds for the Extinction Probability of a Simple Branching Process . . . . . . . 9--16 A. G. Pakes Some Limit Theorems for a Supercritical Branching Process Allowing Immigration 17--26 L. A. Shepp and D. Slepian First-Passage Time for a Particular Stationary Periodic Gaussian Process . . 27--38 Henry C. Tuckwell On the First-Exit Time Problem for Temporally Homogeneous Markov Processes 39--48 W. D. Ray and F. Margo The Inverse Problem in Reducible Markov Chains . . . . . . . . . . . . . . . . . 49--56 Wei Shen Hsia The Joint Probability Density Function of the Occupation Time of a Three-State Problem . . . . . . . . . . . . . . . . 57--64 Richard T. Durrett and S. G. Ghurye Waiting Times without Memory . . . . . . 65--75 David W. Walkup Pólya Sequences, Binomial Convolution and the Union of Random Sets . . . . . . . . 76--85 Paul Switzer Geometrical Measures of the Smoothness of Random Functions . . . . . . . . . . 86--95 Philip Parker and Richard Cowan Some Properties of Line Segment Processes . . . . . . . . . . . . . . . 96--107 Richard M. Feldman Optimal Replacement with Semi-Markov Shock Models . . . . . . . . . . . . . . 108--117 William G. Marchal and Carl M. Harris A Modified Erlang Approach to Approximating GI/G/1 Queues . . . . . . 118--126 F. P. Kelly On Stochastic Population Models in Genetics . . . . . . . . . . . . . . . . 127--131 Miloslav Jirina Extinction of Non-Homogeneous Galton--Watson Processes . . . . . . . . 132--137 D. R. Grey On Possible Rates of Growth of Age-Dependent Branching Processes with Immigration . . . . . . . . . . . . . . 138--143 James H. Foster and Robert T. Goettge The Rates of Growth of the Galton--Watson Process in Varying Environment . . . . . . . . . . . . . . 144--147 D. L. McLeish Functional and Random Central Limit Theorems for the Robbins-Munro Process 148--154 Alan F. Karr Stability of One-Dimensional Systems of Colliding Particles . . . . . . . . . . 155--158 Richard F. Green Partial Attraction of Maxima . . . . . . 159--163 S. M. Rudolfer On the Distribution of Hits . . . . . . 164--168 Saroj Dua and Shobha Khadilkar and Kanwar Sen A Modified Random Walk in the Presence of Partially Reflecting Barriers . . . . 169--175 Larry Lee and W. A. Thompson, Jr. Failure Rate: A Unified Approach . . . . 176--182 E. G. Enns and P. F. Ehlers Optimal Issuing Policies for Non-Identical Units with Stochastic Lifetimes . . . . . . . . . . . . . . . 183--189 Alan F. Karr Two Extreme Value Processes Arising in Hydrology . . . . . . . . . . . . . . . 190--194 Robert B. Cooper and Borge Tilt On the Relationship between the Distribution of Maximal Queue Length in the M/G/1 Queue and the Mean Busy Period in the M/G/1/n Queue . . . . . . . . . . 195--199 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. Holgate The Total Number of Heterozygotes before Fixation . . . . . . . . . . . . . . . . 201--207 Kenny S. Crump and John H. Gillespie The Dispersion of a Neutral Allele Considered as a Branching Process . . . 208--218 J. Gani and I. W. Saunders On the Parity of Individuals in a Branching Process . . . . . . . . . . . 219--230 I. W. Saunders A Convergence Theorem for Parities in a Birth-and-Death Process . . . . . . . . 231--238 R. A. Doney On Single- and Multi-Type General Age-Dependent Branching Processes . . . 239--246 Warren W. Esty Diffusion Limits of Critical Branching Processes Conditioned on Extinction in the near Future . . . . . . . . . . . . 247--254 B. D. Ripley The Second-Order Analysis of Stationary Point Processes . . . . . . . . . . . . 255--266 C. Park and F. J. Schuurmann Evaluations of Barrier-Crossing Probabilities of Wiener Paths . . . . . 267--275 Robert J. Adler Excursions above a Fixed Level by $n$-Dimensional Random Fields . . . . . 276--289 R. T. Smythe Remarks on Renewal Theory for Percolation Processes . . . . . . . . . 290--300 N. R. Mohan Limit Distributions of the Number of Renewals and Waiting Times . . . . . . . 301--312 Mynda Schreuer Stochastic Pursuit-Evasion Games with Information Lag: II. Observation with Error . . . . . . . . . . . . . . . . . 313--328 Pyke Tin and R. M. Phatarfod Some Exact Results for Dams with Markovian Inputs . . . . . . . . . . . . 329--337 J. Radcliffe The Convergence of a Position-Dependent Branching Process Used as an Approximation to a Model Describing the Spread of an Epidemic . . . . . . . . . 338--344 Robert C. Wang The Extinction Time of Markov Branching Processes . . . . . . . . . . . . . . . 345--347 Sally I. McClean A Continuous-Time Population Model with Poisson Recruitment . . . . . . . . . . 348--354 Aidan Sudbury The Size of the Region Occupied by One Type in an Invasion Process . . . . . . 355--356 Pedro Vit On the Equivalence of Certain Markov Chains . . . . . . . . . . . . . . . . . 357--360 M. E. Solari and J. E. A. Dunnage A Note on Spitzer's Lemma and Its Application to the Maximum of Partial Sums of Dependent Random Variables . . . 361--364 Holger Rootzén Gordin's Theorem and the Periodogram . . 365--370 Douglas P. Kennedy The Distribution of the Maximum Brownian Excursion . . . . . . . . . . . . . . . 371--376 A. M. Hasofer The Mean Number of Maxima above High Levels in Gaussian Random Fields . . . . 377--379 Matthew Goldstein A Bound for Bivariate Probability of Large Deviations . . . . . . . . . . . . 380--384 Y. H. Wang A Functional Equation and Its Application to the Characterization of the Weibull and Stable Distributions . . 385--391 N. L. Johnson and Samuel Kotz On a Multivariate Generalized Occupancy Model . . . . . . . . . . . . . . . . . 392--399 I. Gertsbach Sufficient Optimality Conditions for Control-Limit Policy in a Semi-Markov Process . . . . . . . . . . . . . . . . 400--406 L. Råde Reliability Systems in Random Environment . . . . . . . . . . . . . . 407--410 R. Bergmann and D. Stoyan On Exponential Bounds for the Waiting-Time Distribution Function in GI/G/1 . . . . . . . . . . . . . . . . . 411--417 Helmut Wegmann The Capacity of an Intersection with Non-Stationary Traffic . . . . . . . . . 418--422 Stig I. Rosenlund Recurrent Emptiness in a Finite Queue with Increasing Arrival Rate . . . . . . 423--426 K. C. Madan Letter to the Editor . . . . . . . . . . 427--427 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
T. C. Gard and D. Kannan On a Stochastic Differential Equation Modeling of Prey-Predator Evolution . . 429--443 P. J. Green The Maximum and Time to Absorption of a Left-Continuous Random Walk . . . . . . 444--454 D. I. Saunders Malthusian Behaviour of the Critical and Subcritical Age-Dependent Branching Processes with Arbitrary State Space . . 455--465 K. B. Athreya and N. Kaplan Limit Theorems for a Branching Process with Disasters . . . . . . . . . . . . . 466--475 Howard J. Weiner Asymptotic Probabilities in a Critical Age-Dependent Branching Process . . . . 476--485 D. K. Pickard Asymptotic Inference for an Ising Lattice . . . . . . . . . . . . . . . . 486--497 Sidney C. Port and Charles J. Stone Random Measures and Their Application to Motion in an Incompressible Fluid . . . 498--506 Ulrich Rieder On Optimal Policies and Martingales in Dynamic Programming . . . . . . . . . . 507--518 Douglas R. Miller Order Statistics, Poisson Processes and Repairable Systems . . . . . . . . . . . 519--529 P. S. Collings Limit Theorems for Processes of Randomly Displaced Regular Events . . . . . . . . 530--537 Donald P. Gaver Random Record Models . . . . . . . . . . 538--547 R. F. Galbraith and D. Walley On a Two-Dimensional Binary Process . . 548--557 Vangalur S. Alagar The Distribution of the Distance between Random Points . . . . . . . . . . . . . 558--566 L. Billard A Stochastic General Epidemic in $m$ Sub-Populations . . . . . . . . . . . . 567--572 Dean H. Fearn Probability of Extinction of Critical Generation-Dependent Galton--Watson Processes . . . . . . . . . . . . . . . 573--577 Stephen A. Book and Donald R. Truax An Erd\Hos--Rényi Strong Law for Sample Quantiles . . . . . . . . . . . . . . . 578--583 Roy Saunders On Joint Exchangeability and Conservative Processes with Stochastic Rates . . . . . . . . . . . . . . . . . 584--590 S. M. Rudolfer A Note on Roots of Markov Shifts . . . . 591--596 David Hunter An Upper Bound for the Probability of a Union . . . . . . . . . . . . . . . . . 597--603 Raymond J. Huntington Mean Recurrence Times for $k$ Successes within $m$ Trials . . . . . . . . . . . 604--607 Robert Chen Subfair Discounted Red-and-Black Game with a House Limit . . . . . . . . . . . 608--613 Persi Diaconis Buffon's Problem with a Long Needle . . 614--618 J. W. Cohen On a Single-Server Queue with Group Arrivals . . . . . . . . . . . . . . . . 619--622 Lajos Takács Some Remarks on a Counter Process . . . 623--627 Ronald W. Wolff and Charles W. Wrightson An Extension of Erlang's Loss Formula 628--632 Robert Gilchrist The Inter-Arrival Times of Accepted Customers in an M/G/1 Queue with Finite Capacity . . . . . . . . . . . . . . . . 633--638 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
G. A. Watterson The Stationary Distribution of the Infinitely-Many Neutral Alleles Diffusion Model . . . . . . . . . . . . 639--651 Richard J. Kryscio and Roy Saunders A Note on the Cost of Carrier-Borne, Right-Shift, Epidemic Models . . . . . . 652--661 Peter J. Diggle A Spatial Stochastic Model of Inter-Plant Competition . . . . . . . . 662--671 Byron J. T. Morgan and John P. Hinde On an Approximation Made When Analysing Stochastic Processes . . . . . . . . . . 672--683 Karmeshu Motion of a Particle in a Velocity-Dependent Random Force . . . . 684--695 David Burman Estimation of Transition Probabilities in a Multiparticle Semi-Markov System 696--706 Georges Matheron La Formule de Crofton Pour les Sections Épaisses. (French) [The Crofton formula for thick sections] . . . . . . . . . . 707--713 Pamela Davy Projected Thick Sections through Multi-Dimensional Particle Aggregates 714--722 M. Rosenblatt Fractional Integrals of Stationary Processes and the Central Limit Theorem 723--732 N. Veraverbeke and J. L. Teugels The Exponential Rate of Convergence of the Distribution of the Maximum of a Random Walk. Part II . . . . . . . . . . 733--740 Robert L. Wardrop Some Asymptotic Results for Optimal Stopping Based on Capture Times . . . . 741--750 Menachem Berg A Proof of Optimality for Age Replacement Policies . . . . . . . . . . 751--759 D. W. Balmer On a Quickest Detection Problem with Variable Monitoring . . . . . . . . . . 760--767 Donald P. Gaver and John P. Lehoczky Gaussian Approximations to Service Problems: A Communication System Example 768--780 Inge S. Helland and Trygve S. Nilsen On a General Random Exchange Model . . . 781--790 J. Radcliffe The Severity of a Viral Host-Vector Epidemic . . . . . . . . . . . . . . . . 791--794 Jean Chesson A Non-Central Multivariate Hypergeometric Distribution Arising from Biased Sampling with Application to Selective Predation . . . . . . . . . . 795--797 R. A. Doney A Note on the Subcritical Generalized Age-Dependent Branching Process . . . . 798--803 Fred M. Hoppe On a Result of Rubin and Vere-Jones concerning Subcritical Branching Processes . . . . . . . . . . . . . . . 804--808 Holger Rootzén A Note on the Central Limit Theorem for Doubly Stochastic Poisson Processes . . 809--813 Gérard Letac and Pierre Mazet and Gérard Schiffmann A Note on Left-Continuous Random Walks 814--817 M. Ahsanullah On a Characterization of the Exponential Distribution by Order Statistics . . . . 818--822 M. Breth On a Recurrence of Steck . . . . . . . . 823--825 Robert C. Wang Computing Optimal Quality Control Policies: Two Actions . . . . . . . . . 826--832 J. Michael Harrison and Austin J. Lemoine On the Virtual and Actual Waiting Time Distributions of a GI/G/1 Queue . . . . 833--836 Anonymous Volume Information . . . . . . . . . . . 837--840 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
William H. Olson Non-Uniform Breakage-Mechanism Branching Processes and Degradation of Long-Chain Polymers . . . . . . . . . . . . . . . . 1--13 Carla Lipow Limiting Diffusions for Population-Size Dependent Branching Processes . . . . . 14--24 J. D. Biggins Martingale Convergence in the Branching Random Walk . . . . . . . . . . . . . . 25--37 Jacques De Maré Reconstruction of a Stationary Gaussian Process from its Sign-Changes . . . . . 38--57 Harry A. Guess and John H. Gillespie Diffusion Approximations to Linear Stochastic Difference Equations with Stationary Coefficients . . . . . . . . 58--74 Lajos Takács On the Ordered Partial Sums of Real Random Variables . . . . . . . . . . . . 75--88 S. Chatterjee and E. Seneta Towards Consensus: Some Convergence Theorems on Repeated Averaging . . . . . 89--97 A. J. Lawrance and P. A. W. Lewis An Exponential Moving-Average Sequence and Point Process (EMA1) . . . . . . . . 98--113 A. M. Liebetrau On the Weak Convergence of a Class of Estimators of the Variance-Time Curve of a Weakly Stationary Point Process . . . 114--126 G. K. Osei and J. W. Thompson The Supersession of One Rumour by Another . . . . . . . . . . . . . . . . 127--134 David J. Strauss Clustering on Coloured Lattices . . . . 135--143 S. D. Deshmukh and S. D. Chikte Dynamic Investment Strategies for a Risky R and D Project . . . . . . . . . 144--152 George Kimeldorf and John Patrick Lang Asymptotic Properties of Non-Discrete Duels . . . . . . . . . . . . . . . . . 153--161 M. Abdel-Hameed Optimality of the One Step Look-Ahead Stopping Times . . . . . . . . . . . . . 162--169 M. S. Ali Khan Infinite Dams with Discrete Additive Inputs . . . . . . . . . . . . . . . . . 170--180 Wayne Winston Optimality of the Shortest Line Discipline . . . . . . . . . . . . . . . 181--189 A. J. Stam The Reversed Ladder of a Random Walk . . 190--194 Mark Berman Distance Distributions Associated with Poisson Processes of Geometric Figures 195--199 Yoshifusa Ito Superposition of Distinguishable Point Processes . . . . . . . . . . . . . . . 200--204 Ted Cox An Example of Phase Transition in Countable One-Dimensional Markov Random Fields . . . . . . . . . . . . . . . . . 205--211 Norman Kaplan A Generalization of a Result of Erd\Hos and Rényi . . . . . . . . . . . . . . . . 212--216 Cristina Gzyl Regenerative Sets and Subordinators . . 217--220 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank J. S. Wang Gaussian Approximation of Some Closed Stochastic Epidemic Models . . . . . . . 221--231 L. Billard Mean Duration Time for a General Epidemic Process . . . . . . . . . . . . 232--240 Keith Gladstien Subdivided Populations: The Characteristic Values and Rate of Loss of Alleles . . . . . . . . . . . . . . . 241--248 Alexander Mehlmann Markovian Manpower Models in Continuous Time . . . . . . . . . . . . . . . . . . 249--259 E. N. Gilbert Estimators for Distances . . . . . . . . 260--271 Noel Cressie On Some Properties of the Scan Statistic on the Circle and the Line . . . . . . . 272--283 V. S. Alagar On the Distribution of a Random Triangle 284--297 Peter R. Nelson Single-Shelf Library-Type Markov Chains with Infinitely Many Books . . . . . . . 298--308 A. A. Balkema and S. I. Resnick Max-Infinite Divisibility . . . . . . . 309--319 Ludger Rüschendorf On Two Marked Point Processes . . . . . 320--327 S. D. Deshmukh and Wayne Winston A Controlled Birth and Death Process Model of Optimal Product Pricing under Stochastically Changing Demand . . . . . 328--339 Robert C. Wang Optimal Replacement Policy with Unobservable States . . . . . . . . . . 340--348 Masakiyo Miyazawa Time and Customer Processes in Queues with Stationary Inputs . . . . . . . . . 349--357 Per Hokstad Asymptotic Behaviour of the E$_k$ /G/1 Queue with Finite Waiting Room . . . . . 358--366 P. A. Pegg and R. M. Phatarfod Dams with Additive Inputs Revisited . . 367--374 L. Billard On Lotka--Volterra Predator Prey Models 375--381 Eric Slud Relative Extinction Times for Independent Branching Processes . . . . 382--386 Harry Cohn On the Convergence of the Supercritical Branching Processes with Immigration . . 387--390 Aidan Sudbury Clumping Effects in Models of Isolation by Distance . . . . . . . . . . . . . . 391--395 Mark Westcott A Note on the Non-Homogeneous Poisson Cluster Process . . . . . . . . . . . . 396--398 M. Frank Norman Ergodicity of Diffusion and Temporal Uniformity of Diffusion Approximation 399--404 J. W. Cohen On Up- and Downcrossings . . . . . . . . 405--410 E. J. Hannan and Marek Kanter Autoregressive Processes with Infinite Variance . . . . . . . . . . . . . . . . 411--415 Edi Karni The Probability Distribution of the Duration of the Game in the Classical Ruin Problem . . . . . . . . . . . . . . 416--420 Dror Zuckerman Two-Stage Output Procedure of a Finite Dam . . . . . . . . . . . . . . . . . . 421--425 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
I. B. Gertsbakh Epidemic Process on a Random Graph: Some Preliminary Results . . . . . . . . . . 427--438 Stanley Sawyer On the past History of an Allele Now Known to Have Frequency $p$ . . . . . . 439--450 P. J. Green Conditional Limit Theorems for General Branching Processes . . . . . . . . . . 451--463 C. D. Lai A Two-Dimensional `Immigration-Branching' Model with Application to Earthquake Occurrence Times and Energies . . . . . . . . . . . 464--474 Violet R. Cane A Class of Non-Identifiable Stochastic Models . . . . . . . . . . . . . . . . . 475--482 B. D. Ripley and J.-P. Rasson Finding the Edge of a Poisson Forest . . 483--491 Benny Levikson The Age Distribution of Markov Processes 492--506 Valerie Isham A Markov Construction for a Multidimensional Point Process . . . . . 507--515 W. Reh Generalizations of the Elementary Renewal Theorem to Distributions Defined by Concave Recurrence Relations . . . . 516--526 T. S. Lee and F. Kozin Almost Sure Asymptotic Likelihood Theory for Diffusion Processes . . . . . . . . 527--537 Nancy L. Geller On Limit Distributions for One- and Two-Sample Kolmogorov--Smirnov Type Statistics . . . . . . . . . . . . . . . 538--547 M. Miura Stochastic Analysis of the Raw Silk Reeling Process . . . . . . . . . . . . 548--555 J. C. Gittins and K. D. Glazebrook On Bayesian Models in Stochastic Scheduling . . . . . . . . . . . . . . . 556--565 J. Michael Harrison and Austin J. Lemoine Limit Theorems for Periodic Queues . . . 566--576 J. F. C. Kingman Remarks on the Spatial Distribution of a Reproducing Population . . . . . . . . . 577--583 F. P. Kelly The Asymptotic Behaviour of an Invasion Process . . . . . . . . . . . . . . . . 584--590 Eric Renshaw Velocities of Propagation for Stepping-Stone Models of Population Growth . . . . . . . . . . . . . . . . . 591--597 Richard W. Katz An Application of Chain-Dependent Processes to Meteorology . . . . . . . . 598--603 Charles M. Goldie Lanchester Square-Law Battles: Transient and Terminal Distributions . . . . . . . 604--610 Alexander Mehlmann A Note on the Limiting Behaviour of Discrete-Time Markovian Manpower Models with Inhomogeneous Independent Poisson Input . . . . . . . . . . . . . . . . . 611--613 David B. Wolfson Limit Theorems for Sums of a Sequence of Random Variables Defined on a Markov Chain . . . . . . . . . . . . . . . . . 614--620 A. O. Pittenger A Note on the Inverse Problem for Reducible Markov Chains . . . . . . . . 621--625 Knut K. Aase A Conditional Expectation Formula for Diffusion Processes . . . . . . . . . . 626--629 J. D. Biggins Chernoff's Theorem in the Branching Random Walk . . . . . . . . . . . . . . 630--636 Mark Westcott A Note on Record Times . . . . . . . . . 637--639 D. N. Shanbhag An Extension of the Rao--Rubin Characterization of the Poisson Distribution . . . . . . . . . . . . . . 640--646 Harold Ruben The Volume of a Random Simplex in an $n$-Ball Is Asymptotically Normal . . . 647--653 J. E. Mann On the Length Distribution of Stochastic Subarcs of a Rectifiable Arc . . . . . . 654--660 Anonymous Correction: Success Runs in a Two-State Markov Chain . . . . . . . . . . . . . . 661--661 S. Wilson Letter to the Editor: On Clumping Effects in Models of Isolation by Distance . . . . . . . . . . . . . . . . 662--662 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Leo Katz Representation of Disease Etiologies by Certain Stochastic Models . . . . . . . 663--674 Byron J. T. Morgan and B. Leventhal A Model for Blue-Green Algae and Gorillas . . . . . . . . . . . . . . . . 675--688 H. E. Daniels The Advancing Wave in a Spatial Birth Process . . . . . . . . . . . . . . . . 689--701 D. R. Grey Almost Sure Convergence in Markov Branching Processes with Infinite Mean 702--716 D. K. Pickard A Curious Binary Lattice Process . . . . 717--731 Bruce M. Brown and Sidney I. Resnick Extreme Values of Independent Stochastic Processes . . . . . . . . . . . . . . . 732--739 Ester Samuel-Cahn and Shmuel Zamir Algebraic Characterization of Infinite Markov Chains Where Movement to the Right Is Limited to One Step . . . . . . 740--747 Mark Berman Some Multivariate Generalizations of Results in Univariate Stationary Point Processes . . . . . . . . . . . . . . . 748--757 C. C. Heyde On Central Limit and Iterated Logarithm Supplements to the Martingale Convergence Theorem . . . . . . . . . . 758--775 Roy Saunders and Gerald M. Funk Poisson Limits for a Clustering Model of Strauss . . . . . . . . . . . . . . . . 776--784 E. J. Godolphin On the Autocorrelation Structure for Seasonal Moving Average Models and Its Implications for the Cramér--Wold Factorization . . . . . . . . . . . . . 785--794 Ernst-Erich Doberkat Optimal Strategies in Measurable Learning Systems on Metric Spaces . . . 795--805 Robert H. Berk Characterizations via Conditional Distributions . . . . . . . . . . . . . 806--816 Per K. Andersen and Sòren Andersen and Steffen L. Lauritzen The Average Noise from a Poisson Stream of Vehicles . . . . . . . . . . . . . . 817--828 M. P. Quine and P. Durham Estimation for Multitype Branching Processes . . . . . . . . . . . . . . . 829--835 Irene L. Hudson and E. Seneta A Note on Simple Branching Processes with Infinite Mean . . . . . . . . . . . 836--842 R. A. Doney A Note on a Condition Satisfied by Certain Random Walks . . . . . . . . . . 843--849 Shunsuke Sato Evaluation of the First-Passage Time Probability to a Square Root Boundary for the Wiener Process . . . . . . . . . 850--856 Elias Masry A Note on Gaussian Processes and Zero-Memory Non-Linear Transformations 857--861 T. R. Welberry and G. H. Miller An Approximation to a Two-Dimensional Binary Process . . . . . . . . . . . . . 862--868 Edi Karni and Aba Schwartz Two Theorems on Optimal Stopping with Backward Solicitation . . . . . . . . . 869--875 Bent Natvig On the Reversibility of the Input and Output Processes for a General Birth-and-Death Queueing Model . . . . . 876--883 Ronald W. Wolff An Upper Bound for Multi-Channel Queues 884--888 Ingram Olkin Obituary: Leo Katz . . . . . . . . . . . 891--896 Anonymous Correction: Partial Attraction of Maxima 897--897 Anonymous Correction: The Stationary Distribution of the Infinitely-Many Neutral Alleles Diffusion Model . . . . . . . . . . . . 897--897 Anonymous Volume Information . . . . . . . . . . . 898--901 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. F. C. Kingman A Simple Model for the Balance between Selection and Mutation . . . . . . . . . 1--12 Allan H. Marcus and Stanley Czajkowski, Jr. Moments of the Exit-Time Distribution for Carboxyhemoglobin Due to Cigarette Smoking . . . . . . . . . . . . . . . . 13--25 Sally I. McClean Continuous-Time Stochastic Models of a Multigrade Population . . . . . . . . . 26--37 Annette J. Dobson A Stochastic Model of Lexical Change . . 38--45 David L. Quigg A Local Limit Theorem for the Critical Age-Dependent Branching Process . . . . 46--53 F. Thomas Bruss Branching Processes with Random Absorbing Process . . . . . . . . . . . 54--64 Anthony G. Pakes On the Age Distribution of a Markov Chain . . . . . . . . . . . . . . . . . 65--77 Cristina Gzyl and Henryk Gzyl On Entrance-Exit Distributions of Markov Processes . . . . . . . . . . . . . . . 78--86 Dean Isaacson and Richard L. Tweedie Criteria for Strong Ergodicity of Markov Chains . . . . . . . . . . . . . . . . . 87--95 Josef Steinebach A Strong Law of Erd\Hos--Rényi Type for Cumulative Processes in Renewal Theory 96--111 Elja Arjas and Esa Nummelin and Richard L. Tweedie Uniform Limit Theorems for Non-Singular Renewal and Markov Renewal Processes . . 112--125 G. Matheron La Formule de Steiner Pour Les Érosions. (French) [Steiner's erosion formula] . . 126--135 B. W. Silverman Distances on Circles, Toruses and Spheres . . . . . . . . . . . . . . . . 136--143 E. G. Enns and P. F. Ehlers Random Paths through a Convex Region . . 144--152 M. Abdel-Hameed and I. N. Shimi Optimal Replacement of Damaged Devices 153--161 J. Keilson Exponential Spectra as a Tool for the Study of Server-Systems with Several Classes of Customers . . . . . . . . . . 162--170 Douglas P. Kennedy On the Time to First Overflow in Dams with Inputs Forming a Markov Chain . . . 171--178 Peter L. Antonelli and Kenneth Morgan On the Persistence of Random Genetic Drift . . . . . . . . . . . . . . . . . 179--183 Peter L. Antonelli An Asymptotic Formula for the Transition Density of Random Genetic Drift . . . . 184--186 John Haigh The Asymptotic Behaviour of a Divergent Linear Birth and Death Process . . . . . 187--191 Moshe Pollak The Expected Number of Visits of a Sequence of Normal Partial Sums to Each Side of a Boundary . . . . . . . . . . . 192--198 Lawrence S. Evans An Upper Bound for the Mean of Yaglom's Limit . . . . . . . . . . . . . . . . . 199--201 L. E. N. Delbrouck Numerical Approximations for Compound Geometric Distributions with Applications in Queueing Theory . . . . 202--208 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Kenneth Lange and Norman J. Johnson Renewal Processes with Random Numbers of Delays: Application to a Conception and Birth Model . . . . . . . . . . . . . . 209--224 Harry Cohn and Anthony G. Pakes A Representation for the Limiting Random Variable of a Branching Process with Infinite Mean and Some Related Problems 225--234 Martin I. Goldstein A Uniform Limit Theorem and Exponential Limit Law for Critical Multitype Age-Dependent Branching Processes . . . 235--242 C. C. Heyde and H.-J. Schuh Uniform Bounding of Probability Generating Functions and the Evolution of Reproduction Rates in Birds . . . . . 243--250 G. Latouche and G. Louchard Return Times in Nearly-Completely Decomposable Stochastic Processes . . . 251--267 Jean-Guy Dion Sur Une Caractérisation Des Vidanges Fortes: Corrections and Extensions. (French) [On a characterization of strong drains: corrections and extensions] . . . . . . . . . . . . . . 268--279 Peichuen Kao Limiting Diffusion for Random Walks with Drift Conditioned to Stay Positive . . . 280--291 Anthony G. Pakes On the Maximum and Absorption Time of Left-Continuous Random Walk . . . . . . 292--299 Julian Keilson and Jon A. Wellner Oscillating Brownian Motion . . . . . . 300--310 Charles J. Holland Stochastically Perturbed Limit Cycles 311--320 Gérard Letac Cha\^\ines Colorées: Trois Extensions d'une Formule de P. Nelson. (French) [Colored chains: three extensions of a formula of P. Nelson] . . . . . . . . . 321--339 Andrew F. Siegel Random Space Filling and Moments of Coverage in Geometrical Probability . . 340--355 A. Federgruen and H. C. Tijms The Optimality Equation in Average Cost Denumerable State Semi-Markov Decision Problems, Recurrency Conditions and Algorithms . . . . . . . . . . . . . . . 356--373 George Kimeldorf and John Patrick Lang Asymptotic Properties of Discrete Duels 374--383 Richard Cowan An Improved Model for Signalised Intersections with Vehicle-Actuated Control . . . . . . . . . . . . . . . . 384--396 P. Brémaud On the Output Theorem of Queueing Theory, Via Filtering . . . . . . . . . 397--405 Richard R. Weber On the Optimal Assignment of Customers to Parallel Servers . . . . . . . . . . 406--413 Claude Lef\`evre The Expected Ultimate Size of a Carrier-Borne Epidemic . . . . . . . . . 414--419 Philip F. Rust The Variance of Duration of Stay in an Absorbing Markov Process . . . . . . . . 420--425 I. W. Saunders and P. A. P. Moran On the Quantiles of the Gamma and $F$ Distributions . . . . . . . . . . . . . 426--432 A. M. Liebetrau The Weak Convergence of a Class of Estimators of the Variance Function of a Two-Dimensional Poisson Process . . . . 433--439 Charles M. Goldie Subexponential Distributions and Dominated-Variation Tails . . . . . . . 440--442 Norman Kaplan A Limit Theorem for Random Coverings of a Circle Which Do Not Quite Cover . . . 443--446 James M. Hill and Keith P. Tognetti The Autocorrelation Function of the Queue Length Process for the Two-Server Poisson Queue . . . . . . . . . . . . . 447--451 Richard Loulou An Explicit Upper Bound for the Mean Busy Period in a GI/G/1 Queue . . . . . 452--455 Anonymous Correction: Projected Thick Sections through Multi-Dimensional Particle Aggregates . . . . . . . . . . . . . . . 456--456 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
C. J. Ridler-Rowe On Competition between Two Species . . . 457--465 P. L. Davies The Simple Branching Process: A Note on Convergence When the Mean Is Infinite 466--480 Yoshifusa Ito Superposition and Decomposition of Stationary Point Processes . . . . . . . 481--493 N. A. Fava and L. A. Santaló Plate and Line Segment Processes . . . . 494--501 R. J. Adler On the Envelope of a Gaussian Random Field . . . . . . . . . . . . . . . . . 502--513 Wayne W. Barrett and Philip J. Feinsilver Gaussian Families and a Theorem on Patterned Matrices . . . . . . . . . . . 514--522 Geung Ho Kim and H. T. David Bivariate Distributions as Saddle Points of Mutual Information . . . . . . . . . 523--530 Izzet Sahin Cumulative Constrained Sojourn Times in Semi-Markov Processes with an Application to Pensionable Service . . . 531--542 Joseph G. Deken Scheduled Maxima Sequences . . . . . . . 543--551 Donald P. Gaver and Patricia A. Jacobs Non-Homogeneously Paced Random Records and Associated Extremal Processes . . . 552--559 Toshiro Tango Extended Block Replacement Policy with Used Items . . . . . . . . . . . . . . . 560--572 Patricia A. Jacobs A Cyclic Queueing Network with Dependent Exponential Service Times . . . . . . . 573--589 Do Le Minh The Discrete-Time Single-Server Queue with Time-Inhomogeneous Compound Poisson Input and General Service Time Distribution . . . . . . . . . . . . . . 590--601 Sheldon M. Ross Average Delay in Queues with Non-Stationary Poisson Arrivals . . . . 602--609 D. R. Cox and V. Isham Series Expansions for the Properties of a Birth Process of Controlled Variability . . . . . . . . . . . . . . 610--616 Donald G. Morrison On Linearly Increasing Mean Residual Lifetimes . . . . . . . . . . . . . . . 617--620 Henry W. Block and Thomas H. Savits Shock Models with NBUE Survival . . . . 621--628 Dror Zuckerman Optimal Stopping in a Semi-Markov Shock Model . . . . . . . . . . . . . . . . . 629--634 J. P. Imhof One-Sided Excursions of Brownian Motion, and an Application . . . . . . . . . . . 635--638 Peter Hall Representations and Limit Theorems for Extreme Value Distributions . . . . . . 639--644 Svante Janson On Random Divisions of a Convex Set . . 645--649 M. Ahsanullah A Characterization of the Exponential Distribution by Spacings . . . . . . . . 650--653 Richard M. Feldman A Continuous Review (s, S) Inventory System in a Random Environment . . . . . 654--659 D. R. Grey Supercritical Galton--Watson Branching Processes: Corrections to a Paper of Foster and Goettge . . . . . . . . . . . 660--660 Anonymous Correction: An Asymptotic Formula for the Transition Density of Random Genetic Drift . . . . . . . . . . . . . . . . . 661--661 Anonymous Correction: Asymptotic Probabilities in a Critical Age-Dependent Branching Process . . . . . . . . . . . . . . . . 661--661 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Philip McDunnough Some Aspects of the Smoluchowski Process 663--674 E. El-Neweihi and F. Proschan and J. Sethuraman Multistate Coherent Systems . . . . . . 675--688 K. D. Glazebrook On a Class of Non-Markov Decision Processes . . . . . . . . . . . . . . . 689--698 Dean Isaacson and Barry Arnold Strong Ergodicity for Continuous-Time Markov Chains . . . . . . . . . . . . . 699--706 Marcel F. Neuts The Second Moments of the Absorption Times in the Markov Renewal Branching Process . . . . . . . . . . . . . . . . 707--714 G. M. Laslett Mixing of Cluster Point Processes . . . 715--725 Prem S. Puri A Limit Theorem for Point Processes with Applications . . . . . . . . . . . . . . 726--747 C. D. Lai An Example of Wold's Point Processes with Markov-Dependent Intervals . . . . 748--758 M. J. Katzoff and R. H. Shumway Distributed Lag Regression with an Almost Periodic Design Matrix . . . . . 759--773 Andrew F. Siegel Random Arcs on the Circle . . . . . . . 774--789 L. C. G. Rogers The Probability That Two Samples in the Plane Will Have Disjoint Convex Hulls 790--802 Howard J. Weiner Sequential Random Packing in the Plane 803--814 Bernard Silverman and Tim Brown Short Distances, Flat Triangles and Poisson Limits . . . . . . . . . . . . . 815--825 Shirley A. Nozaki and Sheldon M. Ross Approximations in Finite-Capacity Multi-Server Queues with Poisson Arrivals . . . . . . . . . . . . . . . . 826--834 William H. Olson A Markov Chain Model for the Kinetics of Reactant Isolation . . . . . . . . . . . 835--841 A. Federgruen and A. Hordijk and H. C. Tijms A Note on Simultaneous Recurrence Conditions on a Set of Denumerable Stochastic Matrices . . . . . . . . . . 842--847 Jean-François Mertens and Ester Samuel-Cahn and Shmuel Zamir Necessary and Sufficient Conditions for Recurrence and Transience of Markov Chains, in Terms of Inequalities . . . . 848--851 M. S. Bingham A Characterization of the Uniform Distribution on the Circle in the Analysis of Directional Data . . . . . . 852--857 K. Balagopal Dryness of Discrete Dams: Comments on a Paper by Tin and Phatarfod . . . . . . . 858--864 Anonymous Correction: The Probability Distribution of the Duration of the Game in the Classical Ruin Problem . . . . . . . . . 865--865 Anonymous Volume Information . . . . . . . . . . . 866--869 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Eric Renshaw Waveforms and Velocities for Non-Nearest-Neighbour Contact Distributions . . . . . . . . . . . . . 1--11 David K. Pickard Asymptotic Inference for an Ising Lattice. III. Non-Zero Field and Ferromagnetic States . . . . . . . . . . 12--24 Philip McDunnough Estimating the Law of Randomly Moving Particles by Counting . . . . . . . . . 25--35 Yoshiaki Itoh Random Collision Models in Oriented Graphs . . . . . . . . . . . . . . . . . 36--44 D. J. Daley Return Probabilities for Certain Three-Dimensional Random Walks . . . . . 45--53 Torbjörn Thedeen On the Relation between Offered, Critical and Accepted Gap Distributions 54--64 Vera Lánska Minimum Contrast Estimation in Diffusion Processes . . . . . . . . . . . . . . . 65--75 Peter D. Taylor Evolutionarily Stable Strategies with Two Types of Player . . . . . . . . . . 76--83 Harold Ruben The Volume of an Isotropic Random Parallelotope . . . . . . . . . . . . . 84--94 Luis-M. Cruz Orive Distortion of Certain Voronoi Tessellations When One Particle Moves 95--103 S. Gross and W. L. Steiger Least Absolute Deviation Estimates in Autoregression with Infinite Variance 104--116 E. H. Lloyd and S. D. Saleem A Note on Seasonal Markov Chains with Gamma or Gamma-like Distributions . . . 117--128 John S. Devitt An Enumerative Approach to a Problem in Probability . . . . . . . . . . . . . . 129--137 Prem S. Puri and Charles M. Goldie Poisson Mixtures and Quasi-Infinite Divisibility of Distributions . . . . . 138--153 Lars Holst A Unified Approach to Limit Theorems for Urn Models . . . . . . . . . . . . . . . 154--162 B. B. Winter Convergence Rate of Perturbed Empirical Distribution Functions . . . . . . . . . 163--173 P. H. Brill An Embedded Level Crossing Technique for Dams and Queues . . . . . . . . . . . . 174--186 Teunis J. Ott Some More Results for the Stable M/G/1 Queue in Heavy Traffic . . . . . . . . . 187--197 L. Billard and H. Lacayo and N. A. Langberg A New Look at the Simple Epidemic Process . . . . . . . . . . . . . . . . 198--202 T. Nakagawa Replacement Problem of a Parallel System in Random Environment . . . . . . . . . 203--205 Ken Sharpe Level Crossings of a Constructed Process 206--212 Herbert Robbins and John Whitehead Sequential Rank and the Pólya Urn . . . . 213--219 J. H. B. Kemperman On the Variance of a Trimmed Poisson Distribution . . . . . . . . . . . . . . 220--225 P. Suomela Invariant Measures of Time-Reversible Markov Chains . . . . . . . . . . . . . 226--229 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Claude Lef\`evre The Area under the Trajectory of Carriers in a Carrier-Borne Epidemic . . 231--241 M. H. Gail and G. H. Weiss and N. Mantel and S. J. O'Brien A Solution to the Generalized Birthday Problem with Application to Allozyme Screening for Cell Culture Contamination 242--251 T. Moore and J. L. Snell A Branching Process Showing a Phase Transition . . . . . . . . . . . . . . . 252--260 Larry P. Ammann and Peter F. Thall Count Distributions, Orderliness and Invariance of Poisson Cluster Processes 261--273 K. Wickwire The Expected First-Passage Time for a Sufficient Statistic Arising in the Poisson Disorder Problem . . . . . . . . 274--286 A. J. Lawrance The Rate and Variance Functions Arising from the Interaction of Two Stationary Point Processes . . . . . . . . . . . . 287--296 Paul D. Feigin On the Characterization of Point Processes with the Order Statistic Property . . . . . . . . . . . . . . . . 297--304 P. Whittle A Simple Condition for Regularity in Negative Programming . . . . . . . . . . 305--318 Andris Abakuks An Optimal Hunting Policy for a Stochastic Logistic Model . . . . . . . 319--331 Masakiyo Miyazawa A Formal Approach to Queueing Processes in the Steady State and Their Applications . . . . . . . . . . . . . . 332--346 Zeev Barzily and Michael Rubinovitch On Platoon Formation on Two-Lane Roads 347--361 S. Halfin A Singular Property of Multiserver Systems with Constant Service Time . . . 362--372 P. J. Burke A Queuing-Theoretic Anomaly . . . . . . 373--383 Richard Cowan The Uncontrolled Traffic Merge . . . . . 384--392 Julian Köllerström Heavy Traffic Theory for Queues with Several Servers. II . . . . . . . . . . 393--401 S. N. Ethier A Limit Theorem for Two-Locus Diffusion Models in Population Genetics . . . . . 402--408 John C. Wierman The Front Velocity of the Simple Epidemic . . . . . . . . . . . . . . . . 409--415 Alexander Mehlmann Semi-Markovian Manpower Models in Continuous Time . . . . . . . . . . . . 416--422 L. A. Shepp The Joint Density of the Maximum and Its Location for a Wiener Process with Drift 423--427 T. C. Brown and B. W. Silverman Rates of Poisson Convergence for $U$-Statistics . . . . . . . . . . . . . 428--432 Peter Hall On the Rate of Convergence of Normal Extremes . . . . . . . . . . . . . . . . 433--439 Paul D. Feigin Some Comments concerning a Curious Singularity . . . . . . . . . . . . . . 440--444 Stephen A. Book The Stochastic Geyser Problem for Sample Quantiles . . . . . . . . . . . . . . . 445--448 Tea-Yuan Hwang and Nae-Sheng Wang On Best Fractional Linear Generating Function Bounds . . . . . . . . . . . . 449--453 Harry H. Tan Another Martingale Bound on the Waiting-Time Distribution in GI/G/1 Queues . . . . . . . . . . . . . . . . . 454--457 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Haim Avni Weak Limit for the Stationary Distribution of the Infinite-Alleles Model . . . . . . . . . . . . . . . . . 459--472 P. Holgate Notes on Information in Population Genetics . . . . . . . . . . . . . . . . 473--481 Stanley Sawyer A Limit Theorem for Patch Sizes in a Selectively-Neutral Migration Model . . 482--495 Kenneth Lange On Cohen's Stochastic Generalization of the Strong Ergodic Theorem of Demography 496--504 Torgny Lindvall A Note on Coupling of Birth and Death Processes . . . . . . . . . . . . . . . 505--512 Andrew D. Barbour and H.-J. Schuh Functional Normalizations for the Branching Process with Infinite Mean . . 513--525 J. G. Oxley and D. J. A. Welsh On Some Percolation Results of J. M. Hammersley . . . . . . . . . . . . . . . 526--540 P. A. P. Moran Asymptotic Analysis and Local Lattice Central Limit Theorems . . . . . . . . . 541--553 Roy Saunders and Richard J. Kryscio and Gerald M. Funk Limiting Results for Arrays of Binary Random Variables on Rectangular Lattices under Sparseness Conditions . . . . . . 554--566 Attila Csenki An Invariance Principle in $k$-dimensional Extended Renewal Theory 567--574 Masanobu Taniguchi On Estimation of Parameters of Gaussian Stationary Processes . . . . . . . . . . 575--591 R. E. Miles Some New Integral Geometric Formulae, with Stochastic Applications . . . . . . 592--606 K. Balagopal Some Limit Theorems for the General Semi-Markov Storage Model . . . . . . . 607--617 Bharat T. Doshi Generalized Semi-Markov Decision Processes . . . . . . . . . . . . . . . 618--630 Qui Hoon Choo and Brian Conolly New Results in the Theory of Repeated Orders Queueing Systems . . . . . . . . 631--640 W. Henderson A Solution of the Carrier-Borne Epidemic 641--645 Roy Saunders and Claude Lefévre and Richard J. Kryscio A Note on the Expected Number of Survivors in Supercritical Carrier-Borne Epidemics . . . . . . . . . . . . . . . 646--650 Bo Berndtsson and Peter Jagers Exponential Growth of a Branching Process Usually Implies Stable Age Distribution . . . . . . . . . . . . . . 651--656 David W. Boyd and J. Michael Steele Random Exchanges of Information . . . . 657--661 Yu-Sheng Hsu A Note on Exchangeable Events . . . . . 662--664 Burt V. Bronk Some Inequalities for Moments and Coefficients of Variation for a Large Class of Probability Functions . . . . . 665--670 Isaac Meilijson and Arthur Nádas Convex Majorization with an Application to the Length of Critical Paths . . . . 671--677 Itzhak Venezia Optimal Insurance Premium Rates When the Distribution of Claims Is Unknown . . . 678--684 K. D. Glazebrook Scheduling Tasks with Exponential Service Times on Parallel Processors . . 685--689 Richard R. Weber The Interchangeability of $ \cdot $ /M/1 Queues in Series . . . . . . . . . . . . 690--695 Anonymous Corrections: A New Look at the Simple Epidemic Process . . . . . . . . . . . . 696--696 Anonymous Corrections: Poisson Mixtures and Quasi-Infinite Divisibility of Distributions . . . . . . . . . . . . . 696--696 M. Tanemura Has the Palásti Conjecture Been Proved?: A Criticism of a Paper by H. J. Weiner 697--698 Elmer M. Tory and David K. Pickard Some Comments on '\booktitleSequential Random Packing in the Plane' by H. J. Weiner . . . . . . . . . . . . . . . . . 699--702 Motoo Hori On Weiner's Proof of the Palásti Conjecture . . . . . . . . . . . . . . . 702--706 Howard Weiner Reply to Letters of M. Tanemura and E. M. Tory and D. K. Pickard . . . . . . . 706--707 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
William C. Torrez Calculating Extinction Probabilities for the Birth and Death Chain in a Random Environment . . . . . . . . . . . . . . 709--720 Samuel Litwin The Lengths of Fragments Covering a Fixed Marker in Randomly Cut Linear or Circular DNA . . . . . . . . . . . . . . 721--731 Fergus Daly Collapsing Supercritical Branching Processes . . . . . . . . . . . . . . . 732--739 J. D. Biggins and D. R. Grey Continuity of Limit Random Variables in the Branching Random Walk . . . . . . . 740--749 Wolfgang Reh First-Passage Percolation under Weak Moment Conditions . . . . . . . . . . . 750--763 Marcel F. Neuts A Versatile Markovian Point Process . . 764--779 David Oakes Matched Pairs in Independent Poisson Processes . . . . . . . . . . . . . . . 780--793 G. K. Eagleson A Poisson Limit Theorem for Weakly Exchangeable Events . . . . . . . . . . 794--802 M. Tamaki Recognizing Both the Maximum and the Second Maximum of a Sequence . . . . . . 803--812 Per Kragh Andersen Filtered Renewal Processes with a Two-Sided Impact Function . . . . . . . 813--821 A. M. Hasofer A Uniqueness Problem for the Envelope of an Oscillatory Process . . . . . . . . . 822--829 Dana B. Kamerud Repeated Matrix Games . . . . . . . . . 830--842 K. D. Glazebrook Stoppable Families of Alternative Bandit Processes . . . . . . . . . . . . . . . 843--854 Eduardo J. Subelman The Dependence of Betting Strategies on the Probability of Winning . . . . . . . 855--866 Pekka Tuominen and Richard L. Tweedie Exponential Ergodicity in Markovian Queueing and Dam Models . . . . . . . . 867--880 Hans Dieter Unkelbach Convergence to Equilibrium in a Traffic Model with Restricted Passing . . . . . 881--889 K. Nanthi Estimation of the Criticality Parameter of a Superitical Branching Process with Random Environments . . . . . . . . . . 890--896 Maury Bramson and David Griffeath A Note on the Extinction Rates of Some Birth-Death Processes . . . . . . . . . 897--902 B. L. S. Prakasa Rao Characterizations of Distributions through Some Identities . . . . . . . . 903--909 Do Le Minh The Actual Waiting Time of Each Customer in a GI/G/1 Queue . . . . . . . . . . . 910--916 R. M. Phatarfod A Note on the Infinitely Deep Dam with a Markovian Input . . . . . . . . . . . . 917--922 Toshio Nakagawa Further Results of Replacement Problem of a Parallel System in Random Environment . . . . . . . . . . . . . . 923--926 Anonymous Volume Information . . . . . . . . . . . 927--930 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
B. G. Ivanoff The Branching Diffusion with Immigration 1--15 Dean H. Fearn Extinction Probability for Critical Age-Dependent Branching Processes with Generation Dependence . . . . . . . . . 16--24 L. Billard and H. Lacayo and N. A. Langberg The Discrete Asymptotic Behaviour of a Simple Batch Epidemic Process . . . . . 25--32 S. Tavaré Time Reversal and Age Distributions, I. Discrete-Time Markov Chains . . . . . . 33--46 Marc Pirlot A Strong Variational Principle for Continuous Spin Systems . . . . . . . . 47--58 Yosihiko Ogata Maximum Likelihood Estimates of Incorrect Markov Models for Time Series and the Derivation of AIC . . . . . . . 59--72 Masanobu Taniguchi On Estimation of the Integrals of Certain Functions of Spectral Density 73--83 T. Ozaki Non-Linear Time Series Models for Non-Linear Random Vibrations . . . . . . 84--93 Richard C. Bradley, Jr. A Remark on the Central Limit Question for Dependent Random Variables . . . . . 94--101 Arthur V. Peterson, Jr. and Richard A. Kronmal A Representation for Discrete Distributions by Equiprobable Mixtures 102--111 Ward Whitt Uniform Conditional Stochastic Order . . 112--123 R. F. Galbraith and D. Walley Ergodic Properties of a Two-Dimensional Binary Process . . . . . . . . . . . . . 124--133 Yoshiaki Itoh On the Minimum of Gaps Generated by One-Dimensional Random Packing . . . . . 134--144 H. Solomon and M. A. Stephens Approximations to Densities in Geometric Probability . . . . . . . . . . . . . . 145--153 Peter Franken and Arnfried Streller Reliability Analysis of Complex Repairable Systems by Means of Marked Point Processes . . . . . . . . . . . . 154--167 Dror Zuckerman Inspection and Replacement Policies . . 168--177 Bo Bergman On the Optimality of Stationary Replacement Strategies . . . . . . . . . 178--186 Gideon Weiss and Michael Pinedo Scheduling Tasks with Exponential Service Times on Non-Identical Processors to Minimize Various Cost Functions . . . . . . . . . . . . . . . 187--202 P. A. Lee Correlation Structure of Teletraffic Measurements from Randomly-Scanned Calls Arrival Data . . . . . . . . . . . . . . 203--217 Michael Rubinovitch and J. W. Cohen Level Crossings and Stationary Distributions for General Dams . . . . . 218--226 G. Dalen and B. Natvig On the Transient Waiting Times for a GI/M/1 Priority Queue . . . . . . . . . 227--234 Yehuda Vardi On a Stopping Time of Starr and Its Use in Estimating the Number of Transmission Sources . . . . . . . . . . . . . . . . 235--242 Thomas L. Corwin On Search for a Brownian Target . . . . 243--247 R. A. Doney Moments of Ladder Heights in Random Walks . . . . . . . . . . . . . . . . . 248--252 R. B. Nain and Kanwar Sen Transition Probability Matrices for Correlated Random Walks . . . . . . . . 253--258 Grant Ritter A Continuous-Time Analogue of Random Walk in a Random Environment . . . . . . 259--264 M. Rosenblatt Linear Processes and Bispectra . . . . . 265--270 PL. Kannappan and C. T. Ng On Functional Equations and Measures of Information. II . . . . . . . . . . . . 271--277 Colin McDiarmid Percolation on Subsets of the Square Lattice . . . . . . . . . . . . . . . . 278--283 Lars Holst On Multiple Covering of a Circle with Random Arcs . . . . . . . . . . . . . . 284--290 Marcel F. Neuts The Probabilistic Significance of the Rate Matrix in Matrix-Geometric Invariant Vectors . . . . . . . . . . . 291--296 Arun P. Sanghvi Convergence of Successive Approximations to a Stochastic Fixed Point . . . . . . 297--299 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank J. S. Wang The Convergence of a Branching Brownian Motion Used as a Model Describing the Spread of an Epidemic . . . . . . . . . 301--312 Linda P. Gilbert and A. M. Johnson An Application of the Jordan Canonical Form to the Epidemic Problem . . . . . . 313--323 Ray Watson A Useful Random Time-Scale Transformation for the Standard Epidemic Model . . . . . . . . . . . . . . . . . 324--332 W. G. S. Hines Three Characterizations of Population Strategy Stability . . . . . . . . . . . 333--340 Craig Whittaker and Richard M. Feldman Moments for a General Branching Process in a Semi-Markovian Environment . . . . 341--349 G. G. S. Pegram An Autoregressive Model for Multilag Markov Chains . . . . . . . . . . . . . 350--362 C. Park and F. J. Schuurmann Evaluations of Absorption Probabilities for the Wiener Process on Large Intervals . . . . . . . . . . . . . . . 363--372 G. Letac and L. Takács Random Walks on a Dodecahedron . . . . . 373--384 Klaus Schürger On the Asymptotic Geometrical Behaviour of Percolation Processes . . . . . . . . 385--402 Y. D. Burtin and I. Gertsbakh and B. Pittel On a Simple Formula for Random Mappings and Its Applications . . . . . . . . . . 403--414 H. Groemer The Average Distance between Two Convex Sets . . . . . . . . . . . . . . . . . . 415--422 Richard Serfozo High-Level Exceedances of Regenerative and Semi-Stationary Processes . . . . . 423--431 A. A. Anis and M. Gharib On the Variance of the Maximum of Partial Sums of $n$-Exchangeable Random Variables with Applications . . . . . . 432--439 Sándor Csörg\Ho On the Quantogram of Kendall and Kent 440--447 M. Riedel Representation of the Characteristic Function of a Stochastic Integral . . . 448--455 G. Laue Remarks on the Relation between Fractional Moments and Fractional Derivatives of Characteristic Functions 456--466 Erhan Çinlar On a Generalization of Gamma Processes 467--480 Dalen T. Chiang and Shun-Chen Niu On the Distribution of Time to First System Failure . . . . . . . . . . . . . 481--489 F. J. M. Raaijmakers The Lifetime of a Standby System of Units Having the Birnbaum and Saunders Distribution . . . . . . . . . . . . . . 490--497 V. Ramaswami and Marcel F. Neuts Some Explicit Formulas and Computational Methods for Infinite-Server Queues with Phase-Type Arrivals . . . . . . . . . . 498--514 A. Federgruen and H. C. Tijms Computation of the Stationary Distribution of the Queue Size in an M/G/1 Queueing System with Variable Service Rate . . . . . . . . . . . . . . 515--522 Richard Cowan Further Results on Single-Lane Traffic Flow . . . . . . . . . . . . . . . . . . 523--531 Ross Dunstan A Note on the Moments of the Final Size of the General Epidemic Model . . . . . 532--538 G. L. O'Brien A Limit Theorem for Sample Maxima and Heavy Branches in Galton--Watson Trees 539--545 A. J. Lawrance The Mixed Exponential Solution to the First-Order Autoregressive Model . . . . 546--552 Hiroshi Maehara On Random Simplices in Product Distributions . . . . . . . . . . . . . 553--558 Andris Abakuks Conditions for Evolutionarily Stable Strategies . . . . . . . . . . . . . . . 559--562 Sheela Talwalker A Note on the Generalized Rao--Rubin Condition and Characterization of Certain Discrete Distributions . . . . . 563--569 Barry C. Arnold Two Characterizations of the Geometric Distribution . . . . . . . . . . . . . . 570--573 Manish C. Bhattacharjee On a Characterization of Gamma Distributions Via Exponential Mixtures 574--576 C. Derman and G. J. Lieberman and S. M. Ross On the Optimal Assignment of Servers and a Repairman . . . . . . . . . . . . . . 577--581 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Philippe Picard Applications of Martingale Theory to Some Epidemic Models . . . . . . . . . . 583--599 W. G. S. Hines Strategy Stability in Complex Populations . . . . . . . . . . . . . . 600--610 Wen-Chen Chen On the Weak Form of Zipf's Law . . . . . 611--622 Lars Holst On the Lengths of the Pieces of a Stick Broken at Random . . . . . . . . . . . . 623--634 P. Whittle Stability and Characterisation Conditions in Negative Programming . . . 635--645 Dror Zuckerman A Diffusion Process Model for the Optimal Investment Strategies of an R&D Project . . . . . . . . . . . . . . . . 646--653 D. R. Grey The Fair Charge on a Car Ferry . . . . . 654--661 N. C. Weber A Martingale Approach to Central Limit Theorems for Exchangeable Random Variables . . . . . . . . . . . . . . . 662--673 Richard J. Kryscio and Roy Saunders and Gerald M. Funk Normal Approximations for Binary Lattice Systems . . . . . . . . . . . . . . . . 674--685 William F. Eddy The Distribution of the Convex Hull of a Gaussian Sample . . . . . . . . . . . . 686--695 H. Cohn and H.-J. Schuh On the Continuity and the Positivity of the Finite Part of the Limit Distribution of an Irregular Branching Process with Infinite Mean . . . . . . . 696--703 Walter A. Rosenkrantz and C. C. Y. Dorea Limit Theorems for Markov Processes via a Variant of the Trotter--Kato Theorem 704--715 Manish C. Bhattacharjee and Sujit K. Basu On the Kesten-Spitzer Algorithm for Minimal Hitting Time in Controlled Markov Chains . . . . . . . . . . . . . 716--725 Bharat Doshi and Steven E. Shreve Strong Consistency of a Modified Maximum Likelihood Estimator for Controlled Markov Chains . . . . . . . . . . . . . 726--734 William S. Griffith Multistate Reliability Models . . . . . 735--744 Gary Gottlieb Failure Distributions of Shock Models 745--752 D. König and V. Schmidt Imbedded and Non-Imbedded Stationary Characteristics of Queueing Systems with Varying Service Rate and Point Processes 753--767 D. König and V. Schmidt Stochastic Inequalities between Customer-Stationary and Time-Stationary Characteristics of Queueing Systems with Point Processes . . . . . . . . . . . . 768--777 P. J. Brockwell and N. Pacheco-Santiago Invariant Imbedding and Dams with Markovian Input Rate . . . . . . . . . . 778--789 Zvi Rosberg A Positive Recurrence Criterion Associated with Multidimensional Queueing Processes . . . . . . . . . . . 790--801 A. De Meyer and J. L. Teugels On the Asymptotic Behaviour of the Distributions of the Busy Period and Service Time in M/G/1 . . . . . . . . . 802--813 J. G. Shanthikumar Some Analyses on the Control of Queues Using Level Crossings of Regenerative Processes . . . . . . . . . . . . . . . 814--821 Masao Mori Relations between Queue-Size and Waiting-Time Distributions . . . . . . . 822--830 Shun-Chen Niu Bounds for the Expected Delays in Some Tandem Queues . . . . . . . . . . . . . 831--838 M. J. Faddy and I. H. Slorach Bounds on the Velocity of Spread of Infection for a Spatially Connected Epidemic Process . . . . . . . . . . . . 839--845 Sally I. McClean A Semi-Markov Model for a Multigrade Population with Poisson Recruitment . . 846--852 S. A. De Vries and A. J. Stam and J. Reddingius Note on a Death Process . . . . . . . . 853--855 R. A. Doney Spitzer's Condition for Asymptotically Symmetric Random Walk . . . . . . . . . 856--859 Pamela J. Davy The Stereology of Location . . . . . . . 860--864 Irwin Greenberg The Moments of Coverage of a Linear Set 865--868 Michael R. Chernick A Limit Theorem for the Maximum Term in a Particular $ {\rm EARMA}(1, 1) $ Sequence . . . . . . . . . . . . . . . . 869--873 E. Grosswald and Samuel Kotz and N. L. Johnson Characterizations of the Exponential Distribution by Relevation-Type Equations . . . . . . . . . . . . . . . 874--877 Howard Weiner An Alternative Argument for Lemma 3 and Theorem 1 of [9] . . . . . . . . . . . . 878--880 David K. Pickard and E. M. Tory A Critique of Weiner's Work on Palásti's Conjecture . . . . . . . . . . . . . . . 880--884 M. Tanemura Some Comments on the Letters by H. J. Weiner . . . . . . . . . . . . . . . . . 884--887 Motoo Hori Comments on the Second Letter of Weiner [11] . . . . . . . . . . . . . . . . . . 888--890 Howard Weiner Reply to Remarks of Professor M. Hori 890--892 Anonymous Correction: On a Generalization of Gamma Processes . . . . . . . . . . . . . . . 893--893 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Eric Renshaw The Spatial Distribution of \em Tribolium Confusum . . . . . . . . . . . 895--911 Ray Watson On the Size Distribution for Some Epidemic Models . . . . . . . . . . . . 912--921 Wolfgang Mergenthaler A State-Dependent Lifetime Process of Individuals Subject to External Perturbations . . . . . . . . . . . . . 922--938 D. J. Daley and Prakash Narayan Series Expansions of Probability Generating Functions and Bounds for the Extinction Probability of a Branching Process . . . . . . . . . . . . . . . . 939--947 K. Rama Murthy Convergence of Age and Type Distributions in Multitype Critical Bellman--Harris Processes . . . . . . . 948--955 H. L. MacGillivray The Moment Ratios of Particle Size Distributions in Some Simple Growth Models . . . . . . . . . . . . . . . . . 956--967 John C. Wierman Weak Moment Conditions for Time Coordinates in First-Passage Percolation Models . . . . . . . . . . . . . . . . . 968--978 Lawrence Gray and John C. Wierman and R. T. Smythe Lower Bounds for the Critical Probability in Percolation Models with Oriented Bonds . . . . . . . . . . . . . 979--986 Valerie Isham Dependent Thinning of Point Processes 987--995 D. R. Robinson Optimality Conditions for a Markov Decision Chain with Unbounded Costs . . 996--1003 Y. C. Kan and S. M. Ross Optimal List Order under Partial Memory Constraints . . . . . . . . . . . . . . 1004--1015 K. D. Glazebrook On Stochastic Scheduling with Precedence Relations and Switching Costs . . . . . 1016--1024 Michael Pinedo Scheduling Spares with Exponential Lifetimes in a Two-Component Parallel System . . . . . . . . . . . . . . . . . 1025--1032 C. M. Woodside and B. Pagurek and G. F. Newell A Diffusion Approximation for Correlation in Queues . . . . . . . . . 1033--1047 S. S. Lavenberg and M. Reiser Stationary State Probabilities at Arrival Instants for Closed Queueing Networks with Multiple Types of Customers . . . . . . . . . . . . . . . 1048--1061 Ward Whitt The Effect of Variability in the GI/G/s Queue . . . . . . . . . . . . . . . . . 1062--1071 L. Billard and H. Lacayo and N. A. Langberg Generalizations of the Simple Epidemic Process . . . . . . . . . . . . . . . . 1072--1078 C. C. Heyde On a Probabilistic Analogue of the Fibonacci Sequence . . . . . . . . . . . 1079--1082 Prajneshu Time-Dependent Solution of the Logistic Model for Population Growth in Random Environment . . . . . . . . . . . . . . 1083--1086 Richard C. Hertzberg and Vincent F. Gallucci First-Order Stochastic Chemical Reactions and Oscillations in the Variance . . . . . . . . . . . . . . . . 1087--1093 F. Thomas Bruss A Counterpart of the Borel--Cantelli Lemma . . . . . . . . . . . . . . . . . 1094--1101 J. Haezendonck and F. De Vylder A Comparison Criterion for Explosions in Point Processes . . . . . . . . . . . . 1102--1107 Gunnar Englund Remainder Term Estimate for the Asymptotic Normality of the Number of Renewals . . . . . . . . . . . . . . . . 1108--1113 Roger Hartley A Simple Proof of Whittle's Bridging Condition in Dynamic Programming . . . . 1114--1116 L. Valadares Tavares An Exponential Markovian Stationary Process . . . . . . . . . . . . . . . . 1117--1120 Gerhard Schroeter The Application of the Hankel Transformation to Spherically Symmetric Coverage Problems . . . . . . . . . . . 1121--1126 Y. S. Sathe and Meena Pradhan and S. P. Shah Inequalities for the Probability of the Occurrence of at Least $m$ out of $n$ Events . . . . . . . . . . . . . . . . . 1127--1132 A. O. Pittenger Success Probabilities for Second Guessers . . . . . . . . . . . . . . . . 1133--1137 Jan Engel and Mynt Zijlstra A Characterization of the Gamma Distribution by the Negative Binomial Distribution . . . . . . . . . . . . . . 1138--1144 Anonymous Volume Information . . . . . . . . . . . 1145--1149 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Norbert Lenz Extinction Probability, Regularity and Asymptotic Growth of Markovian Populations . . . . . . . . . . . . . . 1--18 Robert Cogburn and William C. Torrez Birth and Death Processes with Random Environments in Continuous Time . . . . 19--30 Naftali A. Langberg On the Normal Convergence of a Class of Simple Batch Epidemics . . . . . . . . . 31--41 R. C. Griffiths Transient Distribution of the Number of Segregating Sites in a Neutral Infinite-Sites Model with no Recombination . . . . . . . . . . . . . 42--51 Kenneth Lange and Michael Boehnke and Richard Carson Moment Computations for Subcritical Branching Processes . . . . . . . . . . 52--64 Aidan Sudbury The Expected Population Size in a Cell-Size-Dependent Branching Process 65--75 Toby Lewis and J. W. Thompson Dispersive Distributions, and the Connection between Dispersivity and Strong Unimodality . . . . . . . . . . . 76--90 Josef Steinebach The Stochastic Geyser Problem for First-Passage Times . . . . . . . . . . 91--103 Peter F. Thall Cluster Shock Models . . . . . . . . . . 104--111 Zvi Rosberg A Note on the Ergodicity of Markov Chains . . . . . . . . . . . . . . . . . 112--121 R. L. Tweedie Criteria for Ergodicity, Exponential Ergodicity and Strong Ergodicity of Markov Processes . . . . . . . . . . . . 122--130 Noel Cressie and Robert W. Davis The Supremum Distribution of Another Gaussian Process . . . . . . . . . . . . 131--138 Wen-Chen Chen Limit Theorems for General Size Distributions . . . . . . . . . . . . . 139--147 A. J. Stam A Non-Random Limit for the Volume Covered $k$ Times . . . . . . . . . . . 148--156 P. Frank Ehlers and Ernest G. Enns Random Secants of a Convex Body Generated by Surface Randomness . . . . 157--166 Thomas L. Corwin Search for a Moving Target under Minimax Estimation . . . . . . . . . . . . . . . 167--180 Ed McKenzie Extending the Correlation Structure of Exponential Autoregressive-Moving-Average Processes 181--189 Guy Latouche On a Markovian Queue with Weakly Correlated Interarrival Times . . . . . 190--203 Bharat T. Doshi Adaptive Control of a Production-Inventory System . . . . . . 204--215 J. Michael Harrison and Austin J. Lemoine Sticky Brownian Motion as the Limit of Storage Processes . . . . . . . . . . . 216--226 Laurence A. Baxter Availability Measures for a Two-State System . . . . . . . . . . . . . . . . . 227--235 P. Purdue and D. Linton An Infinite-Server Queue Subject to an Extraneous Phase Process and Related Models . . . . . . . . . . . . . . . . . 236--244 Constantin Ivan Weak Convergence of the Simple Birth-and-Death Process . . . . . . . . 245--252 Fergus Daly On a General Branching Process . . . . . 253--255 Svante Janson An Upper Bound for the Velocity of First-Passage Percolation . . . . . . . 256--262 F. D. J. Dunstan and J. F. Reynolds Normal Approximations for Distributions Arising in the Stochastic Approach to Chemical Reaction Kinetics . . . . . . . 263--267 Joseph Glaz Clustering of Events in a Stochastic Process . . . . . . . . . . . . . . . . 268--275 Rodney Coleman Intercept Lengths of Random Probes through Boxes . . . . . . . . . . . . . 276--282 Sven Berg On Snowball Sampling, Random Mappings and Related Problems . . . . . . . . . . 283--290 Pranab Kumar Sen Weak Convergence of an Iterated Renewal Process . . . . . . . . . . . . . . . . 291--296 Lennart Bondesson On Occupation Times for Quasi-Markov Processes . . . . . . . . . . . . . . . 297--301 Paul V. Kabaila The Use of Prior Information in the Estimation of the Optimal Interpolator Parameter . . . . . . . . . . . . . . . 302--308 Sheldon M. Ross A Random Graph . . . . . . . . . . . . . 309--315 George Kimeldorf and Detlef Plachky and Allan R. Sampson A Simultaneous Characterization of the Poisson and Bernoulli Distributions . . 316--320 J. C. Gittins Multiserver Scheduling of Jobs with Increasing Completion Rates . . . . . . 321--324 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Kenneth Lange and William Holmes Stochastic Stable Population Growth . . 325--334 L. Billard Generalized Two-Dimensional Bounded Birth and Death Processes and Some Applications . . . . . . . . . . . . . . 335--347 Neil Dubin Predicting the Benefit of Screening for Disease . . . . . . . . . . . . . . . . 348--360 Bruce L. Miller Countable-State Average-Cost Regenerative Stopping Problems . . . . . 361--377 Barry C. Arnold and Richard A. Groeneveld On Excess Life in Certain Renewal Processes . . . . . . . . . . . . . . . 378--389 Peter Breuer A Strong Approximation for Some Non-Stationary Complex Gaussian Processes . . . . . . . . . . . . . . . 390--402 Eric Renshaw and Robin Henderson The Correlated Random Walk . . . . . . . 403--414 Joseph D. Petruccelli Best-Choice Problems Involving Uncertainty of Selection and Recall of Observations . . . . . . . . . . . . . . 415--425 Mark Brown and Herbert Solomon and Michael A. Stephens Monte Carlo Simulation of the Renewal Function . . . . . . . . . . . . . . . . 426--434 Lars Holst On Sequential Occupancy Problems . . . . 435--442 Tohru Ozaki Non-Linear Threshold Autoregressive Models for Non-Linear Random Vibrations 443--451 Barron Brainerd Some Elaborations upon Gani's Model for the Type-Token Relationship . . . . . . 452--460 V. Ramaswami Algorithms for a Continuous-Review (s, S) Inventory System . . . . . . . . . . 461--472 Prem S. Puri and Samuel W. Woolford On a Generalized Storage Model with Moment Assumptions . . . . . . . . . . . 473--481 P. G. Harrison Transient Behaviour of Queueing Networks 482--490 Karmeshu and N. K. Jaiswal A Machine Interference Model with Threshold Effect . . . . . . . . . . . . 491--498 Erik A. Van Doorn The Transient State Probabilities for a Queueing Model Where Potential Customers Are Discouraged by Queue Length . . . . 499--506 W. G. S. Hines Multi-Species Population Models and Evolutionarily Stable Strategies . . . . 507--513 Dean H. Fearn A Fixed-Point Property for Galton--Watson Processes with Generation Dependence . . . . . . . . . . . . . . . 514--519 Jeremy E. Dawson The Algebraic Equivalence of Two Measures of Genetic Distance . . . . . . 520--522 Lawrence E. Myers Survival Functions Induced by Stochastic Covariate Processes . . . . . . . . . . 523--529 H. L. MacGillivray A Note on the Normalised Moments of Distributions with Non-Monotonic Hazard Rate . . . . . . . . . . . . . . . . . . 530--535 E. M. Cabaña and M. Wschebor An Estimate for the Tails of the Distribution of the Supremum for a Class of Stationary Multiparameter Gaussian Processes . . . . . . . . . . . . . . . 536--541 Gavin Brown and J. W. Sanders Lognormal Genesis . . . . . . . . . . . 542--547 Harry A. Guess An Invariance Principle for Solutions to Stochastic Difference Equations . . . . 548--553 Bengt Klefsjö Survival under the Pure Birth Shock Model . . . . . . . . . . . . . . . . . 554--560 J. Michael Harrison and Austin J. Lemoine A Note on Networks of Infinite-Server Queues . . . . . . . . . . . . . . . . . 561--567 Mark Westcott Characterizing the Exponential Distribution . . . . . . . . . . . . . . 568--568 Anonymous Correction: A Limit Theorem for the Maximum Term in a Particular $ {\rm EARMA} (1, 1) $ Sequence . . . . . . . . 569--569 Anonymous Correction: The Spatial Distribution of \em Tribolium Confusum . . . . . . . . . 569--569 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
A. C. Trajstman A Bounded Growth Population Subjected to Emigrations Due to Population Pressure 571--582 C. C. Heyde On Fibonacci (Or Lagged Bienaymé--Galton--Watson) Branching Processes . . . . . . . . . . . . . . . 583--591 Harry Cohn On the Convergence of Stochastically Monotone Sequences of Random Variables and Some Applications . . . . . . . . . 592--605 Peter Hall On the Distribution of Random Lines . . 606--616 Tuan Dinh Pham and Lanh Tat Tran On the First-Order Bilinear Time Series Model . . . . . . . . . . . . . . . . . 617--627 Eduardo J. Subelman A Hide-Search Game . . . . . . . . . . . 628--640 Johannes Siedersleben Dynamically Optimized Replacement with a Markovian Renewal Process . . . . . . . 641--651 M. J. Phillips A Characterization of the Negative Exponential Distribution with Application to Reliability Theory . . . 652--659 J. P. Lehoczky and D. P. Gaver Diffusion Approximations for the Cooperative Service of Voice and Data Messages . . . . . . . . . . . . . . . . 660--671 Richard Cowan An Analysis of the Fixed-Cycle Traffic-Light Problem . . . . . . . . . 672--683 Guy Latouche Queues with Paired Customers . . . . . . 684--696 Norman L. Kaplan Another Look at the Two-Lift Problem . . 697--706 Shun-Chen Niu On the Comparison of Waiting Times in Tandem Queues . . . . . . . . . . . . . 707--714 Eric Renshaw Waveforms and Velocities for Models of Spatial Infection . . . . . . . . . . . 715--720 M. B. Rajarshi Simpler Proofs of Two Threshold Theorems for a General Stochastic Epidemic . . . 721--724 Aidan Sudbury and Peter Clifford The Determination of the Age of a Clone from Characteristics of Its Geographical Distribution . . . . . . . . . . . . . . 725--731 D. Y. Downham and S. B. Fotopoulos Some Aspects of the Non-Asymptotic Behaviour of a Two-Dimensional Invasion Process . . . . . . . . . . . . . . . . 732--737 G. S. Davies Maintainable Regions in a Markov Manpower Model . . . . . . . . . . . . . 738--742 John Haigh Random Exchanges of Information . . . . 743--746 Stig I. Rosenlund Markov Chains in Small Time Intervals 747--751 Per Kragh Andersen A Note on Filtered Markov Renewal Processes . . . . . . . . . . . . . . . 752--756 A. M. Walker On the Classical Bonferroni Inequalities and the Corresponding Galambos Inequalities . . . . . . . . . . . . . . 757--763 Michael R. Chernick On Strong Mixing and Leadbetter's $D$ Condition . . . . . . . . . . . . . . . 764--769 D. Y. Downham and S. B. Fotopoulos Some Inequalities on the Distribution of Ladder Epochs . . . . . . . . . . . . . 770--775 G. B. Nath and E. G. Enns Optimal Service Rates in the Multiserver Loss System with Heterogeneous Servers 776--781 Mark Berman The Covariance of Two Type II Counters 782--787 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. Holgate Linked Loci in Finite Populations . . . 789--798 P. J. Green Modelling Yeast Cell Growth Using Stochastic Branching Processes . . . . . 799--808 J. Theodore Cox and Harry Kesten On the Continuity of the Time Constant of First-Passage Percolation . . . . . . 809--819 Svante Janson and Olav Kallenberg Maximizing the Intersection Density of Fibre Processes . . . . . . . . . . . . 820--828 Isaac Meilijson Estimation of the Lifetime Distribution of the Parts from the Autopsy Statistics of the Machine . . . . . . . . . . . . . 829--838 R. J. Henery Place Probabilities in Normal Order Statistics Models for Horse Races . . . 839--852 Moshe Shaked Bounds on the Distance of a Mixture from Its Parent Distribution . . . . . . . . 853--863 Karen Byth $ \theta $-Stationary Point Processes and Their Second-Order Analysis . . . . 864--878 Michel Baudin Likelihood and Nearest-Neighbor Distance Properties of Multidimensional Poisson Cluster Processes . . . . . . . . . . . 879--888 Austin J. Lemoine On Queues with Periodic Poisson Input 889--900 Marcel F. Neuts Stationary Waiting-Time Distributions in the GI/PH/1 Queue . . . . . . . . . . . 901--912 Dror Zuckerman Characterization of the Optimal Class of Output Policies in a Control Model of a Finite Dam . . . . . . . . . . . . . . . 913--923 P.-C. G. Vassiliou Stability in a Non-Homogeneous Markov Chain Model in Manpower Systems . . . . 924--930 James M. Hill and Chandra M. Gulati The Random Walk Associated with the Game of Roulette . . . . . . . . . . . . . . 931--936 Y. H. Wang On the Limit of the Markov Binomial Distribution . . . . . . . . . . . . . . 937--942 Sylvia Richardson and Denis Hemon On the Variance of the Sample Correlation between Two Independent Lattice Processes . . . . . . . . . . . 943--948 A. C. Dallas Record Values and the Exponential Distribution . . . . . . . . . . . . . . 949--951 Alan G. Konheim and Isaac Meilijson and Abraham Melkman Processor-Sharing of Two Parallel Lines 952--956 L. Valadares Tavares The Distribution of the Maximum of $i$ Consecutive Values of a Process . . . . 957--957 J. W. Cohen Obituary: Félix Pollaczek . . . . . . . . 959--963 Anonymous Volume Information . . . . . . . . . . . 964--967 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
H. Lacayo and Naftali A. Langberg The Exact and Symptotic Formulas for the State Probabilities in Simple Epidemics with $m$ Kinds of Susceptibles . . . . . 1--9 Philip C. Prorok Bounded Recurrence Times and Lead Time in the Design of a Repetitive Screening Program . . . . . . . . . . . . . . . . 10--19 H. E. Daniels The Saddlepoint Approximation for a General Birth Process . . . . . . . . . 20--28 H.-J. Schuh Sums of I.I.D. Random Variables and an Application to the Explosion Criterion for Markov Branching Processes . . . . . 29--38 Prem S. Puri On the Characterization of Point Processes with the Order Statistic Property without the Moment Condition 39--51 Peter Hall On Starr and Vardi's Estimates of the Number of Transmission Sources . . . . . 52--63 Sòren Andersen and Mats Rudemo Filtering Counts of Cars Entering and Leaving a Parking Place . . . . . . . . 64--71 George E. Monahan Optimal Stopping in a Partially Observable Binary-Valued Markov Chain with Costly Perfect Information . . . . 72--81 Torgny Lindvall On Coupling of Continuous-Time Renewal Processes . . . . . . . . . . . . . . . 82--89 J. Janssen and J. M. Reinhard Some Duality Results for a Class of Multivariate Semi-Markov Processes . . . 90--98 K. D. Glazebrook On a Sufficient Condition for Superprocesses Due to Whittle . . . . . 99--110 Shigeru Mase Asymptotic Properties of Stereological Estimators of Volume Fraction for Stationary Random Sets . . . . . . . . . 111--126 Dietmar Pfeifer Characterizations of Exponential Distributions by Independent Non-Stationary Record Increments . . . . 127--135 Gunnar Blom On the Mean Number of Random Digits until a Given Sequence Occurs . . . . . 136--143 Haim Mendelson A Batch-Ballot Problem and Applications 144--157 Malay Ghosh and Nader Ebrahimi Shock Models Leading to Increasing Failure Rate and Decreasing Mean Residual Life Survival . . . . . . . . . 158--166 Richard R. Weber Scheduling Jobs with Stochastic Processing Requirements on Parallel Machines to Minimize Makespan or Flowtime . . . . . . . . . . . . . . . . 167--182 Masakiyo Miyazawa Simple Derivations of the Invariance Relations and Their Applications . . . . 183--194 J. Walrand On the Equivalence of Flows in Networks of Queues . . . . . . . . . . . . . . . 195--203 W. G. S. Hines Mutations, Perturbations and Evolutionarily Stable Strategies . . . . 204--209 Julian Besag and Robin Milne and Stan Zachary Point Process Limits of Lattice Processes . . . . . . . . . . . . . . . 210--216 A. De Meyer On a Theorem of Bingham and Doney . . . 217--220 A. J. Stam Limit Theorems for Uniform Distributions on Spheres in High-Dimensional Euclidean Spaces . . . . . . . . . . . . . . . . . 221--228 Raymond J. Hickey A Note on the Measurement of Randomness 229--232 H. N. Nagaraja Record Values and Extreme Value Distributions . . . . . . . . . . . . . 233--239 J. Keilson On the Distribution and Covariance Structure of the Present Value of a Random Income Stream . . . . . . . . . . 240--244 D. P. Heyman On Ross's Conjectures about Queues with Non-Stationary Poisson Arrivals . . . . 245--249 Michael R. Chernick Letter to the Editor . . . . . . . . . . 250--250 G. B. Nath and E. G. Enns Retraction: Optimal Service Rates in the Multiserver Loss System with Heterogeneous Servers . . . . . . . . . 250--251 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
H. N. Nagaraja Some Asymptotic Results for the Induced Selection Differential . . . . . . . . . 253--261 R. Höpfner Local Limit Theorems for Non-Critical Galton--Watson Processes with or without Immigration . . . . . . . . . . . . . . 262--271 P. J. Brockwell and S. I. Resnick and N. Pacheco-Santiago Extreme Values, Range and Weak Convergence of Integrals of Markov Chains . . . . . . . . . . . . . . . . . 272--288 Frederick J. Beutler and Benjamin Melamed Multivariate Poisson Flows on Markov Step Processes . . . . . . . . . . . . . 289--300 Zvi Rosberg Semi-Markov Decision Processes with Polynomial Reward . . . . . . . . . . . 301--309 Moshe Shaked Dispersive Ordering of Distributions . . 310--320 Jiunn Tzon Hwang and James V. Zidek Limit Theorems for Out-Guesses with Mean-Guided Second Guessing . . . . . . 321--331 R. F. Galbraith and D. Walley Further Properties for Unilateral Binary Processes . . . . . . . . . . . . . . . 332--343 Norbert Henze The Limit Distribution for Maxima of 'Weighted' $R$ th-Nearest-Neighbour Distances . . . . . . . . . . . . . . . 344--354 John Gates The Number of Intersections of Random Chords to a Circle: Third and Fourth Moments . . . . . . . . . . . . . . . . 355--372 Andrew F. Siegel and Lars Holst Covering the Circle with Random Arcs of Random Sizes . . . . . . . . . . . . . . 373--381 B. Edwin Blaisdell and Herbert Solomon Random Sequential Packing in Euclidean Spaces of Dimensions Three and Four and a Conjecture of Palásti . . . . . . . . . 382--390 Henry W. Block and Thomas H. Savits A Decomposition for Multistate Monotone Systems . . . . . . . . . . . . . . . . 391--402 C. Routleff A Variation of Weiss's Carrier-Borne Epidemic Model . . . . . . . . . . . . . 403--407 K. Nanthi Estimation of the Variance for the Multitype Galton--Watson Process . . . . 408--414 Anthony G. Pakes and C. C. Heyde Optimal Estimation of the Criticality Parameter of a Supercritical Branching Process Having Random Environments . . . 415--420 Norman Kaplan A Note on the Branching Random Walk . . 421--424 Dean Isaacson and Peter Colwell Levels of Null Persistency for Markov Chains . . . . . . . . . . . . . . . . . 425--429 A. J. Woods First-Passage Times for the Partial Sums of a Sequence of Geometric Distributions 430--432 P.-C. G. Vassiliou On the Limiting Behaviour of a Non-Homogeneous Markovian Manpower Model with Independent Poisson Input . . . . . 433--438 G. S. Davies Control of Grade Sizes in a Partially Stochastic Markov Manpower Model . . . . 439--443 David K. Pickard Isolated Nearest Neighbors . . . . . . . 444--449 W. G. Cumberland and Z. M. Sykes Weak Convergence of an Autoregressive Process Used in Modeling Population Growth . . . . . . . . . . . . . . . . . 450--455 Y. Isokawa An Identification Problem in Almost and Asymptotically Almost Periodically Correlated Processes . . . . . . . . . . 456--462 Ed McKenzie Product Autoregression: A Time-Series Characterization of the Gamma Distribution . . . . . . . . . . . . . . 463--468 A. D. Barbour Generalized Semi-Markov Schemes and Open Queueing Networks . . . . . . . . . . . 469--474 Ishay Weissman Asymptotic Sample Extremes Are Not Functions of an Extremal Process: A Counterexample . . . . . . . . . . . . . 475--476 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Samuel Karlin and Simon Tavaré Linear Birth and Death Processes with Killing . . . . . . . . . . . . . . . . 477--487 Bruce Hajek Birth-and-Death Processes on the Integers with Phases and General Boundaries . . . . . . . . . . . . . . . 488--499 Paul D. Feigin and Emmanuel Yashchin Extreme-Value Properties of the Explosion-Time Distribution in a Pure Birth Process . . . . . . . . . . . . . 500--509 J. H. Bagley Asymptotic Properties of Subcritical Galton--Watson Processes . . . . . . . . 510--517 Gunnar Blom and Daniel Thorburn How Many Random Digits Are Required until Given Sequences Are Obtained? . . 518--531 Michael Kolonko Strongly Consistent Estimation in a Controlled Markov Renewal Model . . . . 532--545 Nicholas P. Jewell and Joseph P. Romano Coverage Problems and Random Convex Hulls . . . . . . . . . . . . . . . . . 546--561 M. Yadin and S. Zacks Random Coverage of a Circle with Applications to a Shadowing Problem . . 562--577 J. Hüsler Random Coverage of the Circle and Asymptotic Distributions . . . . . . . . 578--587 A. J. Girling Approximate Variances Associated with Random Configurations of Hard Spheres 588--596 J. S. Willie Measuring the Association of a Time Series and a Point Process . . . . . . . 597--608 J. S. Willie Covariation of a Time Series and a Point Process . . . . . . . . . . . . . . . . 609--618 A. R. Abdel-Hamid and J. A. Bather and G. B. Trustrum The Secretary Problem with an Unknown Number of Candidates . . . . . . . . . . 619--630 D. P. Kennedy On a Constrained Optimal Stopping Problem . . . . . . . . . . . . . . . . 631--641 Bent Natvig On the Reduction in Remaining System Lifetime Due to the Failure of a Specific Component . . . . . . . . . . . 642--652 W. G. S. Hines Strategy Stability in Complex Randomly Mating Diploid Populations . . . . . . . 653--659 Anatole Joffe Un Mod\`ele Probabiliste Utile En Biologie Moléculaire. (French) [Probabilistic Model Useful in Molecular Biology] . . . . . . . . . . . . . . . . 660--663 Dietmar Pfeifer The Structure of Elementary Pure Birth Processes . . . . . . . . . . . . . . . 664--667 Thomas Kuczek Almost Sure Limit Results for the Supercritical Bellman--Harris Process 668--674 D. Najock and C. C. Heyde On the Number of Terminal Vertices in Certain Random Trees with an Application to Stemma Construction in Philology . . 675--680 F. C. Klebaner and H.-J. Schuh A Connection between the Limit and the Maximum Random Variable of a Branching Process in Varying Environments . . . . 681--684 Atef M. Abdel-Moneim and Frederick W. Leysieffer Weak Lumpability in Finite Markov Chains 685--691 Mark Scott and Barry C. Arnold and Dean L. Isaacson Strong Ergodicity for Continuous-Time, Non-Homogeneous Markov Chains . . . . . 692--694 Ward Whitt Multivariate Monotone Likelihood Ratio and Uniform Conditional Stochastic Order 695--701 Charles E. Smith and Loren Cobb The Stationary Moments of Poisson-Driven Non-Linear Dynamical Systems . . . . . . 702--706 Kai-Tai Fang A Restricted Occupancy Problem . . . . . 707--711 Glen Richard Hall Acute Triangles in the $n$-Ball . . . . 712--715 K. D. Glazebrook On the Evaluation of Suboptimal Strategies for Families of Alternative Bandit Processes . . . . . . . . . . . . 716--722 Mark C. K. Yang and Dennis D. Wackerly and Andrew Rosalsky Optimal Stopping Rules in Proofreading 723--729 E. J. Anderson and P. Nash and R. R. Weber A Counterexample to a Conjecture on Optimal List Ordering . . . . . . . . . 730--732 Peter R. Nelson The Transposition Replacement Policy with a Partial Memory . . . . . . . . . 733--736 Bhaskar Sengupta An Exponential Riddle . . . . . . . . . 737--740 V. Rajendra Prasad Comment on ``\booktitleScheduling Tasks with Exponential Service Times on Non-Identical Processors to Minimize Various Cost Functions'' . . . . . . . . 741--741 Theophilos Cacoullos and H. Papageorgiou Characterizing the Negative Binomial Distribution . . . . . . . . . . . . . . 742--743 Anonymous Correction: On the First-Order Bilinear Time Series Model . . . . . . . . . . . 744--744 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Kari Kuulasmaa The Spatial General Epidemic and Locally Dependent Random Graphs . . . . . . . . 745--758 Ross Dunstan The Rumour Process . . . . . . . . . . . 759--766 A. Joffe and W. A. O'N. Waugh Exact Distributions of Kin Numbers in a Galton--Watson Process . . . . . . . . . 767--775 M. Ad\`es and J.-P. Dion and G. Labelle and K. Nanthi Recurrence Formula and the Maximum Likelihood Estimation of the Age in a Simple Branching Process . . . . . . . . 776--784 Barron Brainerd On the Relation between the Type-Token and Species-Area Problems . . . . . . . 785--793 Matthew J. Sobel The Variance of Discounted Markov Decision Processes . . . . . . . . . . . 794--802 Mitsushi Tamaki An Optimal Parking Problem . . . . . . . 803--814 F. A. Attia and P. J. Brockwell The Control of a Finite Dam . . . . . . 815--825 D. Fakinos The M/G/k Group-Arrival Group-Departure Loss System . . . . . . . . . . . . . . 826--834 Grace Yang and C. L. Chiang On Interarrival Times in Simple Stochastic Epidemic Models . . . . . . . 835--841 Richard Lockhart On the Non-Existence of Consistent Estimates in Galton--Watson Processes 842--846 David M. Hull A Necessary Condition for Extinction in Those Bisexual Galton--Watson Branching Processes Governed by Superadditive Mating Functions . . . . . . . . . . . . 847--850 P.-C. G. Vassiliou Asymptotic Behavior of Markov Systems 851--857 Choon-Peng Tan A Functional Form for a Particular Coefficient of Ergodicity . . . . . . . 858--863 Ludger Rüschendorf Comparison of Percolation Probabilities 864--868 U. Dieter An Alternate Proof for the Representation of Discrete Distributions by Equiprobable Mixtures . . . . . . . . 869--872 J. Gates Recognition of Triangles and Quadrilaterals by Chord Length Distribution . . . . . . . . . . . . . . 873--879 Chang C. Y. Dorea Connectivity of Random Graphs . . . . . 880--884 D. N. P. Murthy and D. G. Nguyen A Note on Extended Block Replacement Policy with Used Items . . . . . . . . . 885--889 A. Stulman and A. Mehrez A Note Describing the Marginal Benefits of Spares on Availability . . . . . . . 890--893 J. Haslett New Bounds for the Thermal Energy Storage Process with Stationary Input 894--899 Harry Reuter Appreciation: Professor D. G. Kendall, FRS . . . . . . . . . . . . . . . . . . 900--900 V. S. Koroljuk and Vidyadhar G. Kulkarni and B. W. Conolly Letters to the Editor . . . . . . . . . 901--905 Anonymous Correction: Bounded Recurrence Times and Lead Time in the Design of a Repetitive Screening Program . . . . . . . . . . . 906--906 Anonymous Correction: Characterizations of Exponential Distributions by Independent Non-Stationary Record Increments . . . . 906--906 Anonymous Correction: Some Classes of Conditional Inference Procedures . . . . . . . . . . 907--907 Anonymous Volume Information . . . . . . . . . . . 908--911 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Publications of P. A. P. Moran . . . . . 1--6 Anonymous Front Matter . . . . . . . . . . . . . . 7--185 W. J. Ewens Aspects of Population Genetics Theory 9--17 C. C. Heyde The Effect of Differential Reproductive Rates on the Survival of a Gene Represented in a Founder Population . . 19--25 J. F. C. Kingman On the Genealogy of Large Populations 27--43 Cedric A. B. Smith Correlations and Regressions in `Family' Data . . . . . . . . . . . . . . . . . . 45--57 G. A. Watterson Substitution Times for Mutant Nucleotides . . . . . . . . . . . . . . 59--70 Susan R. Wilson Heritability . . . . . . . . . . . . . . 71--85 P. Erd\Hos and I. Vincze On the Approximation of Convex, Closed Plane Curves by Multifocal Ellipses . . 89--96 R. E. Miles and R. J. Maillardet The Basic Structures of Voronoi and Generalized Voronoi Polygons . . . . . . 97--111 B. H. Neumann Plane Polygons Revisited . . . . . . . . 113--122 David G. Kendall The Scale of Perfection . . . . . . . . 125--138 B. C. Rennie On Generalized Functions . . . . . . . . 139--156 Bernard Benjamin The Human Lifespan . . . . . . . . . . . 159--172 Violet Cane and Rosanne McNamee The Spread of Infection in a Heterogeneous Population . . . . . . . . 173--184 M. S. Bartlett The `Ideal' Estimation Equation . . . . 187--200 H. E. Daniels A Transformation for Normal Extremes . . 201--206 A. W. Davis On the Distribution of Hotelling's One-Sample $ T^2 $ under Moderate Non-Normality . . . . . . . . . . . . . 207--216 P. D. Finch Functional Dependence from a Descriptive Viewpoint . . . . . . . . . . . . . . . 217--224 C. R. Heathcote Linear Regression by Functional Least Squares . . . . . . . . . . . . . . . . 225--239 M. R. Osborne A Finite Algorithm for the Rank Regression Problem . . . . . . . . . . . 241--252 Elizabeth L. Scott Comparison of Two Treatments When There May be an Initial Effect . . . . . . . . 253--264 Geoffrey S. Watson Distributions on the Circle and Sphere 265--280 Mark Westcott Approximations to Hard-Core Models and Their Application to Statistical Analysis . . . . . . . . . . . . . . . . 281--292 E. J. Williams Some Classes of Conditional Inference Procedures . . . . . . . . . . . . . . . 293--303 Anonymous Back Matter . . . . . . . . . . . . . . 305--434 Harry Cohn Another Look at the Finite Mean Supercritical Bienaymé--Galton--Watson 307--312 D. J. Daley Stationary Point Processes with Markov-Dependent Intervals and Infinite Intensity . . . . . . . . . . . . . . . 313--320 J. Gani On the Probability Generating Function of the Sum of Markov Bernoulli Random Variables . . . . . . . . . . . . . . . 321--326 J. M. Hammersley Critical Phenomena in Semi-Infinite Systems . . . . . . . . . . . . . . . . 327--331 A. M. Hasofer Simple Trigonometric Models for Narrow-Band Stationary Processes . . . . 333--343 David K. Pickard Inference for General Ising Models . . . 345--357 David Pollard Beyond the Heuristic Approach to Kolmogorov--Smirnov Theorems . . . . . . 359--365 E. Seneta Entropy and Martingales in Markov Chain Models . . . . . . . . . . . . . . . . . 367--381 D. Vere-Jones On the Estimation of Frequency in Point-Process Data . . . . . . . . . . . 383--394 P. Whittle Identities Relating Forward and Backward Treatments of Optimisation . . . . . . . 395--399 E. J. Hannan Testing for Autocorrelation and Akaike's Criterion . . . . . . . . . . . . . . . 403--412 Don McNeil Time Series Modelling: An Integrated Approach . . . . . . . . . . . . . . . . 413--425 J. Gani and E. J. Hannan Preface . . . . . . . . . . . . . . . . ??
Stanley Sawyer and Joseph Felsenstein Isolation by Distance in a Hierarchically Clustered Population . . 1--10 E. Seneta and S. Tavaré A Note on Models Using the Branching Process with Immigration Stopped at Zero 11--18 Mark Woodward The Limiting Properties of Population Distributions with Particular Application to Manpower Planning . . . . 19--30 Sven Berg Random Contact Processes, Snowball Sampling and Factorial Series Distributions . . . . . . . . . . . . . 31--46 M. Berman and G. K. Eagleson A Poisson Limit Theorem for Incomplete Symmetric Statistics . . . . . . . . . . 47--60 Peter G. Buckholtz and L. Lorne Campbell and Ross D. Milbourne and M. T. Wasan Analysis of Transient Behaviour of Certain Processes with Return to a Central State . . . . . . . . . . . . . 61--70 Masami Yasuda On a Stopping Problem Involving Refusal and Forced Stopping . . . . . . . . . . 71--81 Torgny Lindvall On Coupling of Diffusion Processes . . . 82--93 Brooks Ferebee An Unbiased Estimator for the Drift of a Stopped Wiener Process . . . . . . . . . 94--102 C. Park and F. J. Schuurmann Partial Barrier-Absorption Probabilities for the Wiener Process . . . . . . . . . 103--110 Norbert Henze Random Triangles in Convex Regions . . . 111--125 A. M. Kellerer On the Number of Clumps Resulting from the Overlap of Randomly Placed Figures in a Plane . . . . . . . . . . . . . . . 126--135 Michel Baudin Note on the Determination of Cluster Centers from a Realization of a Multidimensional Poisson Cluster Process 136--143 W. M. Nawijn A Note on Many-Server Queueing Systems with Ordered Entry, with an Application to Conveyor Theory . . . . . . . . . . . 144--152 Frank Ball A Threshold Theorem for the Reed--Frost Chain-Binomial Epidemic . . . . . . . . 153--157 Andrew F. Siegel and George Sugihara Moments of Particle Size Distributions under Sequential Breakage with Applications to Species Abundance . . . 158--164 Joseph D. Petruccelli On the Best-Choice Problem When the Number of Observations Is Random . . . . 165--171 K. G. Russell On the Number of Uniform Random Variables Which Must Be Added to Exceed a Given Level . . . . . . . . . . . . . 172--177 Harry Cohn On the Fluctuation of Stochastically Monotone Markov Chains and Some Applications . . . . . . . . . . . . . . 178--184 Mark Scott and Dean L. Isaacson Proportional Intensities and Strong Ergodicity for Markov Processes . . . . 185--190 R. L. Tweedie The Existence of Moments for Stationary Markov Chains . . . . . . . . . . . . . 191--196 L. M. Ricciardi and S. Sato A Note on the Evaluation of First-Passage-Time Probability Densities 197--201 George Kimeldorf and Peter F. Thall A Joint Characterization of the Multinomial Distribution and the Poisson Process . . . . . . . . . . . . . . . . 202--208 M. Sreehari A Characterization of the Geometric Distribution . . . . . . . . . . . . . . 209--212 Izzet Sahin On the Continuous-Review (s, S) Inventory Model under Compound Renewal Demand and Random Lead Times . . . . . . 213--219 Ole Platz A Central Limit Theorem for a Security of Supply Model . . . . . . . . . . . . 220--225 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank Ball The Threshold Behaviour of Epidemic Models . . . . . . . . . . . . . . . . . 227--241 F. C. Klebaner Population-Size-Dependent Branching Process with Linear Rate of Growth . . . 242--250 David Mannion Sequential Random Displacements of Points in an Interval . . . . . . . . . 251--263 Gregory F. Lawler A Connective Constant for Loop-Erased Self-Avoiding Random Walk . . . . . . . 264--276 Choon-Peng Tan Coefficients of Ergodicity with Respect to Vector Norms . . . . . . . . . . . . 277--287 W. Henderson Non-Standard Insensitivity . . . . . . . 288--296 Brent M. Troutman Weak Convergence of the Adjusted Range of Cumulative Sums of Exchangeable Random Variables . . . . . . . . . . . . 297--304 J. Grasman and D. Ludwig The Accuracy of the Diffusion Approximation to the Expected Time to Extinction for Some Discrete Stochastic Processes . . . . . . . . . . . . . . . 305--321 Daren B. H. Cline Limit Theorems for the Shifting Level Process . . . . . . . . . . . . . . . . 322--337 C. Park and J. A. Beekman Stochastic Barriers for the Wiener Process . . . . . . . . . . . . . . . . 338--348 Anthony G. Pakes Remarks on a Model of Competitive Bidding for Employment . . . . . . . . . 349--357 D. G. Harlow and R. L. Smith and H. M. Taylor Lower Tail Analysis of the Distribution of the Strength of Load-Sharing Systems 358--367 Lam Yeh and L. C. Thomas Adaptive Control of M/M/1 Queues: Continuous-Time Markov Decision Process Approach . . . . . . . . . . . . . . . . 368--379 Vidyadhar G. Kulkarni On Queueing Systems with Retrials . . . 380--389 Thomas Sellke On the Asymptotic Distribution of the Size of a Stochastic Epidemic . . . . . 390--394 W. G. S. Hines and D. T. Bishop Evolutionarily Stable Strategies in Diploid Populations with General Inheritance Patterns . . . . . . . . . . 395--399 J. C. Tanner The Proportion of Quadrilaterals Formed by Random Lines in a Plane . . . . . . . 400--404 Paul Kabaila Parameter Values of ARMA Models Minimising the One-Step-Ahead Prediction Error When the True System Is Not in the Model Set . . . . . . . . . . . . . . . 405--408 R. A. Doney A Note on Conditioned Random Walk . . . 409--412 Ehud D. Karnin The First Repetition of a Pattern in a Symmetric Bernoulli Sequence . . . . . . 413--418 Barron Brainerd A Limiting Distribution for Bernoulli Trials with Second-Order Markov Dependence . . . . . . . . . . . . . . . 419--422 G. S. Davies A Note on the Geometric/Probabilistic Relationship in a Markov Manpower Model 423--428 S. Kalpakam and M. A. Shahul Hameed Quasi-Stationary Distribution of a Two-Unit Warm-Standby Redundant System 429--435 Wilfrid S. Kendall Coupling Methods and the Storage Equation . . . . . . . . . . . . . . . . 436--441 J. Walrand A Note on Norton's Theorem for Queuing Networks . . . . . . . . . . . . . . . . 442--444 R. D. Foley and M. Yadin On the Moments of the Cumulative Idle Time in an M/D/$ \infty $ Queue . . . . 445--447 Anonymous Acknowledgement: Weak Convergence of the Simple Birth-and-Death Process . . . . . 448--448 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Stanley Sawyer A Stability Property of the Ewens Sampling Formula . . . . . . . . . . . . 449--459 Ken-Iti Sato Limit Diffusions of Some Stepping-Stone Models . . . . . . . . . . . . . . . . . 460--471 M. V. Kulkarni and A. G. Pakes The Total Progeny of a Simple Branching Process with State-Dependent Immigration 472--481 C. Cocozza-Thivent and C. Kipnis and M. Roussignol Stabilité de la Récurrence Nulle Pour Certaines Cha\^\ines de Markov Perturbées. (French) [Stability of the null recurrence for some perturbed Markov chains] . . . . . . . . . . . . . 482--504 Russell Gerrard Regularity Conditions for Semi-Markov and Markov Chains in Continuous Time . . 505--512 Richard J. Kryscio and Roy Saunders On Interpoint Distances for Planar Poisson Cluster Processes . . . . . . . 513--528 W. J. R. Eplett Minimal Distributions in a Stochastic Partial Ordering and Bounds for Gaussian Processes . . . . . . . . . . . . . . . 529--536 Paul Embrechts A Property of the Generalized Inverse Gaussian Distribution with Some Applications . . . . . . . . . . . . . . 537--544 Svante Janson Limit Theorems for Some Sequential Occupancy Problems . . . . . . . . . . . 545--553 V. V. Menon and N. K. Indira On the Asymptotic Normality of the Number of Replications of a Paired Comparison . . . . . . . . . . . . . . . 554--562 S. N. Ethier and S. Tavaré The Proportional Bettor's Return on Investment . . . . . . . . . . . . . . . 563--573 Dieter König and Volker Schmidt The Palm-Type Grain Size Distribution in Stationary Grain Models . . . . . . . . 574--584 Peter Hall On the Roles of the Bessel and Poisson Distributions in Chemical Kinetics . . . 585--599 J. G. Shanthikumar and U. Sumita General Shock Models Associated with Correlated Renewal Sequences . . . . . . 600--614 Bengt Klefsjö A Useful Ageing Property Based on the Laplace Transform . . . . . . . . . . . 615--626 Laurence A. Baxter Availability Measures for Coherent Systems of Separately Maintained Components . . . . . . . . . . . . . . . 627--636 Dror Zuckerman Job Search: The Continuous Case . . . . 637--648 R. N. Bhattacharya and Vijay K. Gupta and Ed Waymire The Hurst Effect under Trends . . . . . 649--662 Samuel W. Woolford On a Generalized Finite-Capacity Storage Model . . . . . . . . . . . . . . . . . 663--674 G. Hooghiemstra Conditioned Limit Theorems for Waiting-Time Processes of the M/G/1 Queue . . . . . . . . . . . . . . . . . 675--688 W. G. S. Hines and D. T. Bishop On Learning and the Evolutionarily Stable Strategy . . . . . . . . . . . . 689--695 Robin Henderson and Eric Renshaw and David Ford A Note on the Recurrence of a Correlated Random Walk . . . . . . . . . . . . . . 696--699 John Haigh Maintainability of Manpower Structures: Counterexamples, Results and Conjectures 700--705 D. Fakinos The M/G/k Loss System with Servers Subject to Breakdown . . . . . . . . . . 706--712 Anonymous Correction: On the Reduction in Remaining System Lifetime Due to the Failure of a Specific Component . . . . 713--713 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
M. J. Faddy The Outcome of a General Spatial Epidemic on the Line . . . . . . . . . . 715--727 Aidan Sudbury The Time Taken for a Population to Grow from Size $m$ to Size $ k m$ . . . . . . 728--736 C. R. Heathcote and A. H. Welsh The Robust Estimation of Autoregressive Processes by Functional Least Squares 737--753 Etsuo Isobe and Shunsuke Sato Wiener--Hermite Expansion of a Process Generated by an Itô Stochastic Differential Equation . . . . . . . . . 754--765 Martin V. Day Comparison Results for Diffusions Conditioned on Positivity . . . . . . . 766--777 J. C. Tanner Polygons Formed by Random Lines in a Plane: Some Further Results . . . . . . 778--787 Larry P. Ammann Some Limit Theorems for Clustered Occupancy Models . . . . . . . . . . . . 788--802 E. R. Canfield and W. P. McCormick Exact and Limiting Distribution of Sustained Maxima . . . . . . . . . . . . 803--813 K. F. Turkman and A. M. Walker Limit Laws for the Maxima of a Class of Quasi-Stationary Sequences . . . . . . . 814--821 Robert J. Henery Permutation Probabilities for Gamma Random Variables . . . . . . . . . . . . 822--834 David Assaf Extreme-Point Solutions in Markov Decision Processes . . . . . . . . . . . 835--842 Mynt Zijlstra Characterizations of the Geometric Distribution by Distributional Properties . . . . . . . . . . . . . . . 843--850 Mark Brown and Frank Proschan Imperfect Repair . . . . . . . . . . . . 851--859 Dieter König and Masakiyo Miyazawa and Volker Schmidt On the Identification of Poisson Arrivals in Queues with Coinciding Time-Stationary and Customer-Stationary State Distributions . . . . . . . . . . 860--871 Ch. A. Charalambides On Restricted and Pseudo-Contagious Occupancy Distributions . . . . . . . . 872--876 Peter Hall On the Interpretation of Random Fluctuations in Competing Chemical Systems . . . . . . . . . . . . . . . . 877--883 Helmut Pruscha Learning Models with Continuous Time Parameter and Multivariate Point Processes . . . . . . . . . . . . . . . 884--890 K. I. Choe and D. S. Bai A Secretary Problem with Backward Solicitation and Uncertain Employment 891--896 Raymond J. Hickey Majorisation, Randomness and Some Discrete Distributions . . . . . . . . . 897--902 Jean Walrand A Discrete-Time Queueing Network . . . . 903--909 B. K. Asare and F. G. Foster Conditional Response Times in the M/G/1 Processor-Sharing System . . . . . . . . 910--915 W. Grassmann The Convexity of the Mean Queue Size of the M/M/c Queue with Respect to the Traffic Intensity . . . . . . . . . . . 916--919 Hau Leung Lee and Morris A. Cohen A Note on the Convexity of Performance Measures of M/M/c Queueing Systems . . . 920--923 Anonymous Volume Information . . . . . . . . . . . 924--927 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
R. Cressman and W. G. S. Hines Evolutionarily Stable Strategies of Diploid Populations with Semi-Dominant Inheritance Patterns . . . . . . . . . . 1--9 Ushio Sumita On Conditional Passage Time Structure of Birth-Death Processes . . . . . . . . . 10--21 K. V. Mitov and N. M. Yanev Critical Galton--Watson Processes with Decreasing State-Dependent Immigration 22--39 F. C. Klebaner Geometric Rate of Growth in Population-Size-Dependent Branching Processes . . . . . . . . . . . . . . . 40--49 Y. S. Chow and K. F. Yu Some Limit Theorems for a Subcritical Branching Process with Immigration . . . 50--57 Douglas H. Frank and Stephen Durham Random Motion on Binary Trees . . . . . 58--69 E. G. Enns and B. R. Smith and P. F. Ehlers Hitting Spheres with Straight-Line Motion or Brownian Motion . . . . . . . 70--79 Paul Embrechts and Edward Omey A Property of Longtailed Distributions 80--87 Victor Solo Consistency for the Least Squares Estimator in a Transfer Function Model 88--97 Minoru Yoshida Probability Maximizing Approach to a Secretary Problem with Random Change-Point of the Distribution Law of the Observed Process . . . . . . . . . . 98--107 Gary Gottlieb and Benny Levikson Optimal Replacement for Self-Repairing Shock Models with General Failure Rate 108--119 Ramesh C. Gupta and Eric S. Langford On the Determination of a Distribution by Its Median Residual Life Function: A Functional Equation . . . . . . . . . . 120--128 Teunis J. Ott On the M/G/1 Queue with Additional Inputs . . . . . . . . . . . . . . . . . 129--142 Daniel P. Heyman and Ward Whitt The Asymptotic Behavior of Queues with Time-Varying Arrival Rates . . . . . . . 143--156 Marcel F. Neuts and M. F. Ramalhoto A Service Model in Which the Server Is Required to Search for Customers . . . . 157--166 Peter McCullagh Recurrence Processes . . . . . . . . . . 167--172 Michel Baudin Multidimensional Point Processes and Random Closed Sets . . . . . . . . . . . 173--178 Bruce R. Ebanks Polynomially Additive Entropies . . . . 179--185 Jerzy Jaworski On a Random Mapping $ (T, P_j) $ . . . . 186--191 R. A. Doney A Note on Some Results of Schuh . . . . 192--196 E. M. Cabaña On the Transition Density of a Multidimensional Parameter Wiener Process with One Barrier . . . . . . . . 197--200 A. Dvurecenskij and L. A. Kuljukina and G. A. Ososkov On a Problem of the Busy-Period Determination in Queues with Infinitely Many Servers . . . . . . . . . . . . . . 201--206 A. Dvurecenskij The Busy Period of Order $n$ in the GI/D/$ \infty $ Queue . . . . . . . . . 207--212 R. Cressman and W. G. S. Hines Letter to the Editor . . . . . . . . . . 213--214 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
W. G. S. Hines and D. T. Bishop On the Local Stability of an Evolutionarily Stable Strategy in a Diploid Population . . . . . . . . . . . 215--224 Abebe Tessera Population Processes Allowing Emigration of Families . . . . . . . . . . . . . . 225--232 Robin Henderson and Eric Renshaw and David Ford A Correlated Random Walk Model for Two-Dimensional Diffusion . . . . . . . 233--246 John C. Wierman Mixed Percolation on the Square Lattice 247--259 Pamela J. Davy Probability Models for Liberation . . . 260--269 Joseph D. Petruccelli and Samuel W. Woolford A Threshold AR(1) Model . . . . . . . . 270--286 John A. Lane The Central Limit Theorem for the Poisson Shot-Noise Process . . . . . . . 287--301 L. M. Ricciardi and L. Sacerdote and S. Sato On an Integral Equation for First-Passage-Time Probability Densities 302--314 P.-C. G. Vassiliou Cyclic Behaviour and Asymptotic Stability of Non-Homogeneous Markov Systems . . . . . . . . . . . . . . . . 315--325 Paul Deheuvels The Characterization of Distributions by Order Statistics and Record Values: A Unified Approach . . . . . . . . . . . . 326--334 D. Vere-Jones and Y. Ogata On the Moments of a Self-Correcting Process . . . . . . . . . . . . . . . . 335--342 Kin Lam and Ming-Ying Leung and Man-Keung Siu Self-Organizing Files with Dependent Accesses . . . . . . . . . . . . . . . . 343--359 Teunis J. Ott The Sojourn-Time Distribution in the M/G/1 Queue with Processor Sharing . . . 360--378 William A. Massey An Operator-Analytic Approach to the Jackson Network . . . . . . . . . . . . 379--393 B. W. Conolly The Autostrada Queueing Problem . . . . 394--403 Osman M. E. Ali and Marcel F. Neuts A Service System with Two Stages of Waiting and Feedback of Customers . . . 404--413 David M. Hull Conditions for Extinction in Certain Bisexual Galton--Watson Branching Processes . . . . . . . . . . . . . . . 414--418 John Gates Bounds for the Probability of Complete Intersection of Random Chords in a Circle . . . . . . . . . . . . . . . . . 419--424 Ramesh C. Gupta Relationships between Order Statistics and Record Values and Some Characterization Results . . . . . . . . 425--430 Toshio Nakagawa Optimal Number of Units for a Parallel System . . . . . . . . . . . . . . . . . 431--436 V. Ramaswami The Sojourn Time in the GI/M/1 Queue with Processor Sharing . . . . . . . . . 437--442 Frank Ball The Threshold Behaviour of Epidemic Models . . . . . . . . . . . . . . . . . 443--444 Anonymous Correction: The Effect of Variability in the GI/G/s Queue . . . . . . . . . . . . 445--446 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Olle Nerman The Stable Pedigrees of Critical Branching Populations . . . . . . . . . 447--463 William J. Anderson A Multitrap Model for High-Intensity Reciprocity Failure in the Photographic Grain . . . . . . . . . . . . . . . . . 464--478 G. Louchard Kac's Formula, Levy's Local Time and Brownian Excursion . . . . . . . . . . . 479--499 J.-P. Imhof Density Factorizations for Brownian Motion, Meander and the Three-Dimensional Bessel Process, and Applications . . . . . . . . . . . . . . 500--510 Ian W. McKeague Estimation for Diffusion Processes under Misspecified Models . . . . . . . . . . 511--520 Masami Yasuda Asymptotic Results for the Best-Choice Problem with a Random Number of Objects 521--536 R. W. Chen and V. N. Nair and A. M. Odlyzko and L. A. Shepp and Y. Vardi Optimal Sequential Selection of $N$ Random Variables under a Constraint . . 537--547 M. P. Quine and D. F. Watson Radial Generation of $n$-Dimensional Poisson Procesess . . . . . . . . . . . 548--557 L. Holst and J. Hüsler On the Random Coverage of the Circle . . 558--566 Atef M. Abdel-Moneim and Frederick W. Leysieffer Lumpability for Non-Irreducible Finite Markov Chains . . . . . . . . . . . . . 567--574 H. W. Lotwick Some Models for Multitype Spatial Point Processes with Remarks on Analysing Multitype Patterns . . . . . . . . . . . 575--582 Awi Federgruen and Linda Green An M/G/c Queue in Which the Number of Servers Required Is Random . . . . . . . 583--601 Werner E. Helm and Karl-Heinz Waldmann Optimal Control of Arrivals to Multiserver Queues in a Random Environment . . . . . . . . . . . . . . 602--615 P. R. Parthasarathy and M. Sharafali Some Notes on the Total Service Time in Certain Loss Systems . . . . . . . . . . 616--627 Christos Langaris and Brian Conolly On the Waiting Time of a Two-Stage Queueing System with Blocking . . . . . 628--638 Stefan P. Niculescu On the Asymptotic Distribution of Multivariate Renewal Processes . . . . . 639--645 Rudolf Mathar The Limit Behaviour of the Maximum of Random Variables with Applications to Outlier-Resistance . . . . . . . . . . . 646--650 John Gates A Note on the Volume of Small Random Simplexes . . . . . . . . . . . . . . . 651--653 Sujit K. Basu and Manish C. Bhattacharjee On Weak Convergence within the HNBUE Family of Life Distributions . . . . . . 654--660 Xi-Ren Cao The Dependence of Sojourn Times on Service Times in Tandem Queues . . . . . 661--667 J. Gani Obituary: Dr. Norma Ruth McArthur . . . 669--672 R. A. Doney On Conditional Passage-Time Structure of Birth-Death Processes . . . . . . . . . 673--674 Michel Baudin Acknowledgement of Priority: Multidimensional Point Processes and Random Closed Sets . . . . . . . . . . . 675--675 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Philippe Picard Applications of Martingale Theory to Some Epidemic Models, II . . . . . . . . 677--684 D. R. Grey Non-Negative Matrices, Dynamic Programming and a Harvesting Problem . . 685--694 Henry C. Tuckwell and Frederic Y. M. Wan First-Passage Time of Markov Process to Moving Barriers . . . . . . . . . . . . 695--709 Richard F. Serfozo Rarefactions of Compound Point Processes 710--719 W. Dziubdziela Limit Laws for kth Order Statistics from Strong-Mixing Processes . . . . . . . . 720--729 Gunnar Blom On the Stochastic Ordering of Waiting Times for Patterns in Sequences of Random Digits . . . . . . . . . . . . . 730--737 Peter Hall Mean and Variance of Vacancy for Distribution of $k$-Dimensional Spheres within $k$-Dimensional Space . . . . . . 738--752 C. Buchta and J. Müller Random Polytopes in a Ball . . . . . . . 753--762 K. Lam Comparison of Self-Organizing Linear Search Rules . . . . . . . . . . . . . . 763--776 C. Courcoubetis and P. Varaiya and J. Walrand Invariance in Resource-Sharing Systems 777--785 S. G. Ghurye and Albert W. Marshall Shock Processes with Aftereffects and Multivariate Lack of Memory . . . . . . 786--801 Laurence A. Baxter Continuum Structures I . . . . . . . . . 802--815 Mohamed Abdel-Hameed Life Distribution Properties of Devices Subject to a Pure Jump Damage Process 816--825 Bent Natvig and Arnfried Streller The Steady-State Behaviour of Multistate Monotone Systems . . . . . . . . . . . . 826--835 Brent M. Troutman and Michael R. Karlinger On the Expected Width Function for Topologically Random Channel Networks 836--849 D. Y. Burman and J. P. Lehoczky and Y. Lim Insensitivity of Blocking Probabilities in a Circuit-Switching Network . . . . . 850--859 Jonathan B. Goodman and William A. Massey The Non-Ergodic Jackson Network . . . . 860--869 J. P. C. Blanc Asymptotic Analysis of a Queueing System with a Two-Dimensional State Space . . . 870--886 D. J. Daley and T. Rolski Some Comparability Results for Waiting Times in Single- and Many-Server Queues 887--900 Barry Wolfson Some Moment Results for Certain Tandem and Multiple-Server Queues . . . . . . . 901--910 Kari Kuulasmaa and Stan Zachary On Spatial General Spidemics and Bond Percolation Processes . . . . . . . . . 911--914 F. Thomas Bruss A Note on Extinction Criteria for Bisexual Galton--Watson Processes . . . 915--919 Howard Weiner Moments of the Maximum in a Critical Branching Process . . . . . . . . . . . 920--923 Raymond J. Hickey Continuous Majorisation and Randomness 924--929 Donald W. K. Andrews Non-Strong Mixing Autoregressive Processes . . . . . . . . . . . . . . . 930--934 J. Gani Obituary: Richard Bellman . . . . . . . 935--936 J. W. Cohen On Processor Sharing and Random Service 937--937 Anonymous Volume Information . . . . . . . . . . . 938--941 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
R. Cressman and A. T. Dash Evolutionarily Stable Strategies with Two Types of Player. I. Two-Species Haploid or Randomly Mating Diploid . . . 1--14 Rakesh Shukla and R. C. Srivastava The Statistical Analysis of Direct Repeats in Nucleic Acid Sequences . . . 15--24 Reinhard Höpfner On Some Classes of Population-Size-Dependent Galton--Watson Processes . . . . . . . . . . . . . . . 25--36 A. Joffe and W. A. O'N. Waugh The Kin Number Problem in a Multitype Galton--Watson Population . . . . . . . 37--47 F. C. Klebaner A Limit Theorem for Population-Size-Dependent Branching Processes . . . . . . . . . . . . . . . 48--57 A. J. Branford A Self-Excited Migration Process . . . . 58--67 A. M. Kellerer Counting Figures in Planar Random Configurations . . . . . . . . . . . . . 68--81 E. B. Jensen and H. J. G. Gundersen The Stereological Estimation of Moments of Particle Volume . . . . . . . . . . . 82--98 J. Durbin The First-Passage Density of a Continuous Gaussian Process to a General Boundary . . . . . . . . . . . . . . . . 99--122 Hideo \=Osawa Reversibility of Markov Chains with Applications to Storage Models . . . . . 123--137 Wojciech Szpankowski Some Sufficient Conditions for Non-Ergodicity of Markov Chains . . . . 138--147 E. Seneta and R. L. Tweedie Moments for Stationary and Quasi-Stationary Distributions of Markov Chains . . . . . . . . . . . . . . . . . 148--155 Ward Whitt The Renewal-Process Stationary-Excess Operator . . . . . . . . . . . . . . . . 156--167 P. Whittle Partial Balance and Insensitivity . . . 168--176 Theodore P. Hill and Arie Hordijk Selection of Order of Observation in Optimal Stopping Problems . . . . . . . 177--184 David Assaf and Moshe Shaked and J. George Shanthikumar First-Passage Times with PF$_r$ Densities . . . . . . . . . . . . . . . 185--196 Thomas H. Savits A Multivariate IFR Class . . . . . . . . 197--204 Michael Rubinovitch The Slow Server Problem . . . . . . . . 205--213 Jos H. A. De Smit The Queue GI/H$_m$ /s in Continuous Time 214--222 B. Gail Ivanoff and E. Seneta The Critical Branching Process with Immigration Stopped at Zero . . . . . . 223--227 Stephen Breen and Michael S. Waterman and Ning Zhang Renewal Theory for Several Patterns . . 228--234 W. Droste and W. Wefelmeyer A Note on Strong Unimodality and Dispersivity . . . . . . . . . . . . . . 235--239 E. Frostig and I. Adiri Stochastic Flowshop No-Wait Scheduling 240--246 David Assaf and Naftali A. Langberg Presentation of Phase-Type Distributions as Proper Mixtures . . . . . . . . . . . 247--250 Robin Henderson and Eric Renshaw and David Ford Acknowledgement . . . . . . . . . . . . 251--251 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Seppo Niemi On Non-Singular Markov Renewal Processes with an Application to a Growth-Catastrophe Model . . . . . . . . 253--266 K. S. Chan and Joseph D. Petruccelli and H. Tong and Samuel W. Woolford A Multiple-Threshold AR(1) Model . . . . 267--279 Stefan P. Niculescu and Edward Omey On the Exact Order of Normal Approximation in Multivariate Renewal Theory . . . . . . . . . . . . . . . . . 280--287 Knut K. Aase R&D Projects Analyzed by Semimartingale Methods . . . . . . . . . . . . . . . . 288--299 Y. L. Deng On the Comparison of Point Processes . . 300--313 A. Deffner and E. Haeusler A Characterization of Order Statistic Point Processes That Are Mixed Poisson Processes and Mixed Sample Processes Simultaneously . . . . . . . . . . . . . 314--323 J. M. McNamara An Optimal Sequential Policy for Controlling a Markov Renewal Process . . 324--335 Kyle Siegrist Estimation and Optimal Stopping in a Debugging Model with Masking . . . . . . 336--345 A. G. Nobile and L. M. Ricciardi and L. Sacerdote A Note on First-Passage Time and Some Related Problems . . . . . . . . . . . . 346--359 A. G. Nobile and L. M. Ricciardi and L. Sacerdote Exponential Trends of Ornstein--Uhlenbeck First-Passage-Time Densities . . . . . . . . . . . . . . . 360--369 Henry W. Block and Wagner S. Borges and Thomas H. Savits Age-Dependent Minimal Repair . . . . . . 370--385 Y. L. Tong A Rearrangement Inequality for the Longest Run, with an Application to Network Reliability . . . . . . . . . . 386--393 Dieter König and Volker Schmidt Stationary Queue-Length Characteristics in Queues with Delayed Feedback . . . . 394--407 Masakiyo Miyazawa The Intensity Conservation Law for Queues with Randomly Changed Service Rate . . . . . . . . . . . . . . . . . . 408--418 Bharat T. Doshi A Note on Stochastic Decomposition in a GI/G/1 Queue with Vacations or Set-up Times . . . . . . . . . . . . . . . . . 419--428 Marek Kanter Lower Bounds for the Probability of Overload in Certain Queueing Networks 429--436 Peter Clifford and Aidan Sudbury Looking Backwards in Time in the Moran Model in Population Genetics . . . . . . 437--442 Aidan Sudbury The Proportion of the Population Never Hearing a Rumour . . . . . . . . . . . . 443--446 Peter Guttorp and Reg Kulperger and Richard Lockhart A Coupling Proof of Weak Convergence . . 447--453 Simeon M. Berman An Asymptotic Formula for the Distribution of the Maximum of a Gaussian Process with Stationary Increments . . . . . . . . . . . . . . . 454--460 Valeri T. Stefanov On the Moments of Some First-Passage Times . . . . . . . . . . . . . . . . . 461--466 Nader Ebrahimi A Stress-Strength System . . . . . . . . 467--472 Nils Lid Hjort and Bent Natvig and Espen Funnemark The Association in Time of a Markov Process with Application to Multistate Reliability Theory . . . . . . . . . . . 473--479 Lam Yeh Optimal Control of a Finite Dam: Average-Cost Case . . . . . . . . . . . 480--484 Anonymous Correction: How Many Random Digits Are Required until Given Sequences Are Obtained? . . . . . . . . . . . . . . . 485--485 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Rocco Ballerini and Sidney Resnick Records from Improving Populations . . . 487--502 Helmut Pruscha Parametric Inference in Markov Branching Processes with Time-Dependent Random Immigration Rate . . . . . . . . . . . . 503--517 Luis-M. Cruz-Orive Estimating Volumes from Systematic Hyperplane Sections . . . . . . . . . . 518--530 D. J. Gates and M. Westcott Accurate and Asymptotic Results for Distributions of Scan Statistics . . . . 531--542 William P. McCormick Weak and Strong Law Results for a Function of the Spacings . . . . . . . . 543--555 J. Van Den Berg and H. Kesten Inequalities with Applications to Percolation and Reliability . . . . . . 556--569 Mary G. Leitnaker and Peter Purdue Compartmental Models with Transfer Delays: A Semi-Markov Approach . . . . . 570--582 P.-C. G. Vassiliou and I. Gerontidis Variances and Covariances of the Grade Sizes in Manpower Systems . . . . . . . 583--597 Rainer Dahlhaus On a Spectral Density Estimate Obtained by Averaging Periodograms . . . . . . . 598--610 A. G. Nobile and L. M. Ricciardi and L. Sacerdote Exponential Trends of First-Passage-Time Densities for a Class of Diffusion Processes with Steady-State Distribution 611--618 Ward Whitt Uniform Conditional Variability Ordering of Probability Distributions . . . . . . 619--633 Anders Martin-Löf A Limit Theorem Which Clarifies the 'Petersburg Paradox' . . . . . . . . . . 634--643 Mitsushi Tamaki Adaptive Approach to Some Stopping Problems . . . . . . . . . . . . . . . . 644--652 A. G. De Kok Asymptotic Analysis for a Production-Inventory Control Model with Renewal Arrivals and Exponential Demands 653--667 Pyke Tin A Queueing System with Markov-Dependent Arrivals . . . . . . . . . . . . . . . . 668--677 A. Dvurecenskij and G. A. Ososkov On a Modified Counter with Prolonging Dead Time . . . . . . . . . . . . . . . 678--687 A. G. De Kok and H. G. Tijms A Queueing System with Impatient Customers . . . . . . . . . . . . . . . 688--696 Wolfgang Stadje The Busy Period of the Queueing System M/G/$ \infty $ . . . . . . . . . . . . . 697--704 Rudolf Grübel Tail Behaviour of Ladder-Height Distributions in Random Walks . . . . . 705--709 Rolf Schneider Inequalities for Random Flats Meeting a Convex Body . . . . . . . . . . . . . . 710--716 Uri Liberman An Order Statistic Characterization of the Poisson Renewal Process . . . . . . 717--722 Terje Aven Upper (Lower) Bounds on the Mean of the Maximum (Minimum) of a Number of Random Variables . . . . . . . . . . . . . . . 723--728 Donald W. K. Andrews A Nearly Independent, but Non-Strong Mixing, Triangular Array . . . . . . . . 729--731 Paulo Renato De Morais Optimal Design of a Storage System with Constant or Linear Release Rate . . . . 732--738 Michael Pinedo and Zvi Chechner Inequalities and Bounds for the Scheduling of Stochastic Jobs on Parallel Machines . . . . . . . . . . . 739--744 Anonymous Correction: Dispersive Ordering of Distributions . . . . . . . . . . . . . 745--745 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
W. G. S. Hines and John Haigh Non-Linear ESS Models and Polymorphism 747--756 K. V. Mitov and N. M. Yanev Bellman--Harris Branching Processes with State-Dependent Immigration . . . . . . 757--765 Norbert Herrndorf First-Passage Percolation Processes with Finite Height . . . . . . . . . . . . . 766--775 M. Yadin and S. Zacks The Visibility of Stationary and Moving Targets in the Plane Subject to a Poisson Field of Shadowing Elements . . 776--786 Gary Gottlieb An Optimal Betting Strategy for Repeated Games . . . . . . . . . . . . . . . . . 787--795 Jonathan Kuhn The Risk-Sensitive Homing Problem . . . 796--803 J. Gani and Pyke Tin On a Class of Continuous-Time Markov Processes . . . . . . . . . . . . . . . 804--815 Paul Deheuvels The Limiting Behaviour of the Maximal Spacing Generated by an I.I.D. Sequence of Gaussian Random Variables . . . . . . 816--827 J. Chandramohan and Lung-Kuang Liang Bernoulli, Multinomial and Markov Chain Thinning of Some Point Processes and Some Results about the Superposition of Dependent Renewal Processes . . . . . . 828--835 Tamás F. Móri and Gábor J. Székely A Note on the Background of Several Bonferroni--Galambos-Type Inequalities 836--843 A. Gravey A Simple Construction of an Upper Bound for the Mean of the Maximum of $n$ Identically Distributed Random Variables 844--851 G. Hooghiemstra and M. Keane Calculation of the Equilibrium Distribution for a Solar Energy Storage Model . . . . . . . . . . . . . . . . . 852--864 Shlomo Halfin The Shortest Queue Problem . . . . . . . 865--878 Michael Rubinovitch The Slow Server Problem: A Queue with Stalling . . . . . . . . . . . . . . . . 879--892 Hermann Thorisson On Regenerative and Ergodic Properties of the $k$-Server Queue with Non-Stationary Poisson Arrivals . . . . 893--902 V. Giorno and C. Negri and A. G. Nobile A Solvable Model for a Finite-Capacity Queueing System . . . . . . . . . . . . 903--911 J. George Shanthikumar and Ushio Sumita On the Busy-Period Distributions of M/G/1/K Queues with State-Dependent Arrivals and FCFS/LCFS-P Service Disciplines . . . . . . . . . . . . . . 912--919 R. Höpfner A Note on the Probability of Extinction in a Class of Population-Size-Dependent Galton--Watson Processes . . . . . . . . 920--925 Z. Seyda Deligönül An Approximate Solution of the Integral Equation of Renewal Theory . . . . . . . 926--931 G. S. Davies A Note on a Continuous-Time Markov Manpower Model . . . . . . . . . . . . . 932--938 David D. Yao First-Passage-Time Moments of Markov Processes . . . . . . . . . . . . . . . 939--945 Jan Vrbik Asymptotic Distribution of the Coefficient of Cross-Association Based on a Simple Markov-Chain Model . . . . . 946--950 J. B. T. M. Roerdink A Note on the Asymptotic Properties of Correlated Random Walks . . . . . . . . 951--956 Ian B. MacNeill and V. K. Jandhyala The Residual Process for Non-Linear Regression . . . . . . . . . . . . . . . 957--963 C. Park Boundaries with Negative Jumps for the Brownian Motion . . . . . . . . . . . . 964--970 Chung-Wen Chow and Zvi Schechner On Stopping Rules in Proofreading . . . 971--977 Ole Platz A Sharp Upper Probability Bound for the Occurrence of at Least $m$ out of $n$ Events . . . . . . . . . . . . . . . . . 978--981 William S. Griffith and C. Srinivasan A Note on Survival Models under a Markov Process . . . . . . . . . . . . . . . . 982--988 P. R. Kumar and J. Walrand Individually Optimal Routing in Parallel Systems . . . . . . . . . . . . . . . . 989--995 P. Todorovic Letter to the Editor . . . . . . . . . . 996--996 Anonymous Correction: The Characterization of Distributions by Order Statistics and Record Values: A Unified Approach . . . 997--997 Anonymous Volume Information . . . . . . . . . . . 998--1002 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. E. Hitchcock Extinction Probabilities in Predator-Prey Models . . . . . . . . . . 1--13 B. Mellein and J. L. Vicente On the Kinetics of Multitype Polymer Reactions . . . . . . . . . . . . . . . 14--27 A. Reza Soltani and A. Khodadadi Run Probabilities and the Motion of a Particle on a Given Path . . . . . . . . 28--41 Gaston Giroux Asymptotic Results for Non-Linear Processes of the McKean Tagged-Molecule Type . . . . . . . . . . . . . . . . . . 42--51 Emily Murphree and Walter L. Smith On Transient Regenerative Processes . . 52--70 Masaaki Kijima and Ushio Sumita A Useful Generalization of Renewal Theory: Counting Processes Governed by Non-Negative Markovian Increments . . . 71--88 Michael L. Hogan Comment on ``\booktitleCorrected Diffusion Approximations in Certain Random Walk Problems'' . . . . . . . . . 89--96 Fred Huffer Variability Orderings Related to Coverage Problems on the Circle . . . . 97--106 Mohamed Abdel-Hameed Optimum Replacement of a System Subject to Shocks . . . . . . . . . . . . . . . 107--114 Tapani Lehtonen On the Ordering of Tandem Queues with Exponential Servers . . . . . . . . . . 115--129 Donald M. Topkis Reordering Heuristics for Routing in Communications Networks . . . . . . . . 130--143 V. G. Kulkarni Expected Waiting Times in a Multiclass Batch Arrival Retrial Queue . . . . . . 144--154 C. Langaris A Correlated Queue with Infinitely Many Servers . . . . . . . . . . . . . . . . 155--165 C. Langaris The Waiting-Time Process of a Queueing System with Gamma-Type Input and Blocking . . . . . . . . . . . . . . . . 166--174 C. A. O'Cinneide and P. Purdue The M/M/$ \infty $ Queue in a Random Environment . . . . . . . . . . . . . . 175--184 G. I. Falin On the Waiting-Time Process in a Single-Line Queue with Repeated Calls 185--192 Toshinao Nakatsuka The Substability and Ergodicity of Complicated Queueing Systems . . . . . . 193--200 Gillian Iossif Return Probabilities for Correlated Random Walks . . . . . . . . . . . . . . 201--207 Donald R. Fredkin and John A. Rice On Aggregated Markov Processes . . . . . 208--214 Moshe Pollak and David Siegmund Convergence of Quasi-Stationary to Stationary Distributions for Stochastically Monotone Markov Processes 215--220 Norbert Henze On the Probability That a Random Point Is the jth Nearest Neighbour to Its Own kth Nearest Neighbour . . . . . . . . . 221--226 R. C. Srivastava On Characterizations of the Geometric Distribution by Independence of Functions of Order Statistics . . . . . 227--232 Pushpa Lata Gupta and Ramesh C. Gupta A Characterization of the Poisson Process . . . . . . . . . . . . . . . . 233--235 Behnam Pourbabai and David Sonderman Server Utilization Factors in Queueing Loss Systems with Ordered Entry and Heterogeneous Servers . . . . . . . . . 236--242 D. Fakinos On the Single-Server Queue with the Preemptive-Resume Last-Come-First-Served Queue Discipline . . . . . . . . . . . . 243--248 John R. Hubbard and Claude Dennis Pegden and Matthew Rosenshine The Departure Process for the M/M/1 Queue . . . . . . . . . . . . . . . . . 249--255 Robert D. Foley Stationary Poisson Departure Processes from Non-Stationary Queues . . . . . . . 256--260 Saeed Ghahramani Finiteness of Moments of Partial Busy Periods for M/G/C Queues . . . . . . . . 261--264 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anders Martin-Löf Symmetric Sampling Procedures, General Epidemic Processes and Their Threshold Limit Theorems . . . . . . . . . . . . . 265--282 Peter Donnelly A Genealogical Approach to Variable-Population-Size Models in Population Genetics . . . . . . . . . . 283--296 Reinhard Höpfner Some Results on Population-Size-Dependent Galton--Watson Processes . . . . . . . . . . . . . . . 297--306 A. M. Kellerer The Variance of a Poisson Process of Domains . . . . . . . . . . . . . . . . 307--321 Jürg Hüsler On Point Processes on the Circle . . . . 322--331 Chern-Ching Chao and John Slivka Some Exact Distributions of a Last One-Sided Exit Time in the Simple Random Walk . . . . . . . . . . . . . . . . . . 332--340 G. Mazziotto Approximations of the Optimal Stopping Problem in Partial Observation . . . . . 341--354 Paul Deheuvels and Josef Steinebach Exact Convergence Rate of an Erd\Hos--Rényi Strong Law for Moving Quantiles . . . . . . . . . . . . . . . 355--369 P. L. Davies Rates of Convergence to the Stationary Distribution for $k$-Dimensional Diffusion Processes . . . . . . . . . . 370--384 Enzo Orsingher A Planar Random Motion Governed by the Two-Dimensional Telegraph Equation . . . 385--397 V. Giorno and A. G. Nobile and L. M. Ricciardi and L. Sacerdote Some Remarks on the Rayleigh Process . . 398--408 A. Thavaneswaran and M. E. Thompson Optimal Estimation for Semimartingales 409--417 Dennis V. Lindley and Nozer D. Singpurwalla Multivariate Distributions for the Life Lengths of Components of a System Sharing a Common Environment . . . . . . 418--431 Terje Aven and Bo Bergman Optimal Replacement Times: A General Set-up . . . . . . . . . . . . . . . . . 432--442 Masakiyo Miyazawa Approximation of the Queue-Length Distribution of an M/GI/s Queue by the Basic Equations . . . . . . . . . . . . 443--458 V. V. Kalashnikov and S. T. Rachev Characterizations of Inverse Problems in Queueing and Their Stability . . . . . . 459--473 J. George Shanthikumar and David D. Yao The Effect of Increasing Service Rates in a Closed Queueing Network . . . . . . 474--483 M. H. van Hoorn and L. P. Seelen Approximations for the GI/G/c Queue . . 484--494 Bruno Viscolani An Adaptive Multistage Queueing System 495--503 N. C. Weber The Wright--Fisher Model with Varying Selection . . . . . . . . . . . . . . . 504--508 Kim-Anh Do and Herbert Solomon A Simulation Study of Sylvester's Problem in Three Dimensions . . . . . . 509--513 Dror Zuckerman Optimal Stopping in a Continuous Search Model . . . . . . . . . . . . . . . . . 514--518 Kyle Siegrist Markov Chains with Binomial Time Change 519--523 J. Michael Steele and Luke Tierney Boundary Domination and the Distribution of the Largest Nearest-Neighbor Link in Higher Dimensions . . . . . . . . . . . 524--528 R. J. Martin A Note on the Asymptotic Eigenvalues and Eigenvectors of the Dispersion Matrix of a Second-Order Stationary Process on a $d$-Dimensional Lattice . . . . . . . . 529--535 Toshio Nakagawa Periodic and Sequential Preventive Maintenance Policies . . . . . . . . . . 536--542 William A. Massey A Family of Bounds for the Transient Behavior of a Jackson Network . . . . . 543--549 Robert B. Cooper and Shun-Chen Niu Bene\vs's Formula for M/G/1-FIFO `Explained' by Preemptive-Resume LIFO 550--554 R. Szekli On the Concavity of the Waiting-Time Distribution in Some GI/G/I Queues . . . 555--561 Anonymous Correction: Extreme-Value Properties of the Explosion-Time Distribution in a Pure Birth Process . . . . . . . . . . . 562--562 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Gianpaolo Scalia-Tomba Asymptotic Final Size Distribution of the Multitype Reed-Frost Process . . . . 563--584 D. J. Daley and David M. Hull and James M. Taylor Bisexual Galton--Watson Branching Processes with Superadditive Mating Functions . . . . . . . . . . . . . . . 585--600 K. Kämmerle and H.-J. Schuh The Maximum in Critical Galton--Watson and Birth and Death Processes . . . . . 601--613 G. Kersting On Recurrence and Transience of Growth Models . . . . . . . . . . . . . . . . . 614--625 Narendra Karmarkar and Richard M. Karp and George S. Lueker and Andrew M. Odlyzko Probabilistic Analysis of Optimum Partitioning . . . . . . . . . . . . . . 626--645 Shigeru Mase On the Possible Form of Size Distributions for Gibbsian Processes of Mutually Non-Intersecting Balls . . . . 646--659 Laurence A. Baxter and Chul Kim Bounding the Stochastic Performance of Continuum Structure Functions. I . . . . 660--669 S. Lalley A First-Passage Problem for a Two-Dimensional Controlled Random Walk 670--678 W. Dziubdziela Limit Laws for kth Order Statistics from Conditionally Mixing Arrays of Random Variables . . . . . . . . . . . . . . . 679--687 Yoshiaki Itoh and Herbert Solomon Random Sequential Coding by Hamming Distance . . . . . . . . . . . . . . . . 688--695 Teruhisa Nakai A Search Game with One Object and Two Searchers . . . . . . . . . . . . . . . 696--707 R. R. Weber Optimal Search for a Randomly Moving Object . . . . . . . . . . . . . . . . . 708--717 Mitsushi Tamaki A Full-Information Best-Choice Problem with Finite Memory . . . . . . . . . . . 718--735 Ilkka Norros Notes on Natvig's Measure of Importance of System Components . . . . . . . . . . 736--747 Jayant V. Deshpande and Subhash C. Kochar and Harshinder Singh Aspects of Positive Ageing . . . . . . . 748--758 Antonín Lesanovský Comparison of Two Replacement Policies 759--769 Emad El-Neweihi and Frank Proschan and Jayaram Sethuraman Optimal Allocation of Components in Parallel-Series and Series-Parallel Systems . . . . . . . . . . . . . . . . 770--777 K. Azoury and P. H. Brill An Application of the System-Point Method to Inventory Models under Continuous Review . . . . . . . . . . . 778--789 J. Keilson and L. D. Servi Oscillating Random Walk Models for GI/G/1 Vacation Systems with Bernoulli Schedules . . . . . . . . . . . . . . . 790--802 Jeffrey J. Hunter The Non-Renewal Nature of the Quasi-Input Process in the M/G/1/$ \infty $ Queue . . . . . . . . . . . . . 803--811 François Baccelli Exponential Martingales and Wald's Formulas for Two-Queue Networks . . . . 812--819 J. H. Bagley On the Asymptotic Properties of a Supercritical Bisexual Branching Process 820--826 J. H. Bagley On the Almost Sure Convergence of Controlled Branching Processes . . . . . 827--831 Frank Ball A Note on the Total Size Distribution of Epidemic Models . . . . . . . . . . . . 832--836 Norbert Henze On the Moments of Vacancy of Random Arcs on the Circle . . . . . . . . . . . . . 837--840 R. R. Weber and P. Varaiya and J. Walrand Scheduling Jobs with Stochastically Ordered Processing Times on Parallel Machines to Minimize Expected Flowtime 841--847 Anonymous Correction: Mixed Cox Processes, with an Application to Accident Statistics . . . 848--849 Anonymous Correction: Maintainability of Manpower Structures: Counterexamples, Results and Conjectures . . . . . . . . . . . . . . 849--849 Anonymous Correction: Some Exact Distribution of a Last One-Sided Exit Time in the Simple Random Walk . . . . . . . . . . . . . . 849--849 Anonymous Acknowledgement: A Simple Construction of an Upper Bound for the Mean of the Maximum of $n$ Identically Distributed Random Variables . . . . . . . . . . . . 850--850 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. J. Brockwell The Extinction Time of a General Birth and Death Process with Catastrophes . . 851--858 A. J. Branford On a Property of Finite-State Birth and Death Processes . . . . . . . . . . . . 859--866 F. W. Steutel Avalanches of Electrons in a Gas . . . . 867--879 Krishna B. Athreya and Sastry G. Pantula Mixing Properties of Harris Chains and Autoregressive Processes . . . . . . . . 880--892 Michael L. Wenocur Brownian Motion with Quadratic Killing and Some Implications . . . . . . . . . 893--903 Claude Lefevre and Marc Hallin and Prakash Narayan On Fractional Linear Bounds for Probability Generating Functions . . . . 904--913 Raymond J. Hickey Concepts of Dispersion in Distributions: A Comparative Note . . . . . . . . . . . 914--921 Gane Samb Lo Asymptotic Behavior of Hill's Estimate and Applications . . . . . . . . . . . . 922--936 Jürg Hüsler Extreme Values of Non-Stationary Random Sequences . . . . . . . . . . . . . . . 937--950 H. Solomon and C. Sutton A Simulation Study of Random Caps on a Sphere . . . . . . . . . . . . . . . . . 951--960 Ursula Maria Molter Tangential Measure on the Set of Convex Infinite Cylinders . . . . . . . . . . . 961--972 Masamitsu Ohnishi and Hajime Kawai and Hisashi Mine An Optimal Inspection and Replacement Policy for a Deteriorating System . . . 973--988 C. Courcoubetis and R. R. Weber Necessary and Sufficient Conditions for Stability of a Bin-Packing System . . . 989--999 Gerd Schmidt The Spitzer Identity for Some Bivariate Processes in Queueing Theory: An Algebraic Approach . . . . . . . . . . . 1000--1007 Fred M. Hoppe Size-Biased Filtering of Poisson--Dirichlet Samples with an Application to Partition Structures in Genetics . . . . . . . . . . . . . . . . 1008--1012 B. G. Quinn and H. L. MacGillivray Normal Approximations to Discrete Unimodal Distributions . . . . . . . . . 1013--1018 Walter Van Assche Products of $ 2 \times 2 $ Stochastic Matrices with Random Entries . . . . . . 1019--1024 H. Künsch Discrimination between Monotonic Trends and Long-Range Dependence . . . . . . . 1025--1030 E. B. Jensen and J. Mòller Stereological Versions of Integral Geometric Formulae for $n$-Dimensional Ellipsoids . . . . . . . . . . . . . . . 1031--1037 A. P. Basu and S. N. U. A. Kirmani Some Results Involving HNBUE Distributions . . . . . . . . . . . . . 1038--1044 J. Newton A Solvable Model for a Finite-Capacity Queueing System . . . . . . . . . . . . 1045--1047 Villy Baek Iversen and Bo Friis Nielsen Comments on a Paper by V. Giorno, C. Negri and A. G. Nobile [1] . . . . . . . 1047--1048 V. Giorno and C. Negri and A. G. Nobile A Reply to Iversen and Nielsen's Letter 1049--1050 D. R. Grey Comment on Survey at Earlier Work [That] Omitted the Paper of Mendelssohn . . . . 1050--1050 Anonymous Volume Information . . . . . . . . . . . 1051--1055 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . i-157 J. Gani Preface . . . . . . . . . . . . . . . . v--vi Anonymous Publications of E. J. Hannan . . . . . . 1--5 Peter Bloomfield Non-Singularity and Asymptotic Independence . . . . . . . . . . . . . . 9--21 M. Deistler Linear Dynamic Errors-in-Variables Models . . . . . . . . . . . . . . . . . 23--39 Emanuel Parzen Quantile Spectral Analysis and Long-Memory Time Series . . . . . . . . 41--54 Jorma Rissanen Order Estimation by Accumulated Prediction Errors . . . . . . . . . . . 55--61 Victor Solo Identifiability of Time Series Models with Errors in Variables . . . . . . . . 63--71 An Hong-Zhi and Chen Zhao-Guo The Identification of ARMA Processes . . 75--87 Richard H. Jones Time Series Regression with Unequally Spaced Data . . . . . . . . . . . . . . 89--98 J. H. W. Penm and R. D. Terrell The `Derived' Moving-Average Model and Its Role in Causality . . . . . . . . . 99--111 P. M. Robinson On a Model for a Time Series of Cross-Sections . . . . . . . . . . . . . 113--125 Ritei Shibata Consistency of Model Selection and Parameter Estimation . . . . . . . . . . 127--141 P. J. Thomson Band-Limited Spectral Estimation of Autoregressive: Moving-Average Processes 143--155 Murray A. Cameron The Comparison of Transient Responses to Stimuli . . . . . . . . . . . . . . . . 159--172 J. Durbin Approximate Distributions of Student's $t$-Statistics for Autoregressive Coefficients Calculated from Regression Residuals . . . . . . . . . . . . . . . 173--185 Yuzo Hosoya A Simultaneous Test in the Presence of Nested Alternative Hypotheses . . . . . 187--200 B. G. Quinn Testing for the Presence of Sinusoidal Components . . . . . . . . . . . . . . . 201--210 Katsuto Tanaka Asymptotic Expansions for Time Series Statistics . . . . . . . . . . . . . . . 211--227 Anonymous Back Matter . . . . . . . . . . . . . . 229--438 D. F. Nicholls The Box--Jenkins Approach to Random Coefficient Autoregressive Modelling . . 231--240 Tohru Ozaki Local Gaussian Modelling of Stochastic Dynamical Systems in the Analysis of Non-Linear Random Vibrations . . . . . . 241--255 M. B. Priestley and S. M. Heravi Identification of Non-Linear Systems Using General State-Dependent Models . . 257--272 David R. Brillinger Regression for Randomly Sampled Spatial Series: The Trigonometric Case . . . . . 275--289 Yosihiko Ogata and Koichi Katsura Point-Process Models with Linearly Parametrized Intensity for Application to Earthquake Data . . . . . . . . . . . 291--310 M. Rosenblatt Parameter Estimation for Finite-Parameter Stationary Random Fields . . . . . . . . . . . . . . . . . 311--318 M. S. Bartlett Mixed Cox Processes, with an Application to Accident Statistics . . . . . . . . . 321--333 J. Gani and Pyke Tin A Note on the Two-Sex Population Process 335--344 C. C. Heyde On the Use of Time Series Representations of Population Models . . 345--353 T. P. Speed ANOVA Models with Random Effects: An Approach via Symmetry . . . . . . . . . 355--368 J. G. Veitch and G. S. Watson Random Cyclic Transformations of Points 369--382 Peter Whittle The Risk-Sensitive Certainty Equivalence Principle . . . . . . . . . . . . . . . 383--388 Craig F. Ansley and Robert Kohn On the Equivalence of Two Stochastic Approaches to Spline Smoothing . . . . . 391--405 John Henstridge Data Structures: The Problem of Time Series Computing . . . . . . . . . . . . 407--411 P. A. P. Moran Orthant Probabilities and Gaussian Markov Processes . . . . . . . . . . . . 413--417 M. R. Osborne and G. K. Smyth An Algorithm for Exponential Fitting Revisited . . . . . . . . . . . . . . . 419--430
Charles J. Mode and Marc E. Jacobson and Gary T. Pickens A Stochastic Population Projection System Based on General Age-Dependent Branching Processes . . . . . . . . . . 1--13 V. G. Gadag and M. B. Rajarshi On Multitype Processes Based on Progeny Length of Particles of a Supercritical Galton--Watson Process . . . . . . . . . 14--24 Richard Cornez Birth and Death Processes in Random Environments with Feedback . . . . . . . 25--34 T. Björk and J. Myhrman and M. Persson Optimal Consumption with Stochastic Prices in Continuous Time . . . . . . . 35--47 Naftali A. Langberg and David S. Stoffer Moving-Average Models with Bivariate Exponential and Geometric Distributions 48--61 L. De Haan and E. Verkade On Extreme-Value Theory in the Presence of a Trend . . . . . . . . . . . . . . . 62--76 Steinar Engen and Eva Seim Uniformly Best Invariant Stopping Rules 77--87 Emily S. Murphree Transient Renewal Processes in the Subexponential Case . . . . . . . . . . 88--96 Knut K. Aase Stochastic Control of Geometric Processes . . . . . . . . . . . . . . . 97--104 Gejza Dohnal On Estimating the Diffusion Coefficient 105--114 Nader Ebrahimi Bivariate Processes with Positive or Negative Dependent Structures . . . . . 115--122 J. George Shanthikumar On Stochastic Comparison of Random Vectors . . . . . . . . . . . . . . . . 123--136 Chia-Chyuan Kuo and S. Leigh Phoenix Recursions and Limit Theorems for the Strength and Lifetime Distributions of a Fibrous Composite . . . . . . . . . . . 137--159 Enrique Castillo and Janos Galambos Lifetime Regression Models Based on a Functional Equation of Physical Nature 160--169 Tapan Kumar Nayak Multivariate Lomax Distribution: Properties and Usefulness in Reliability Theory . . . . . . . . . . . . . . . . . 170--177 Norman L. Johnson and Samuel Kotz A Modified Repair Strategy for Two-Component Systems with Revealed and Unrevealed Faults . . . . . . . . . . . 178--185 Lam Yeh and Lou Jiann Hua Optimal Control of a Finite Dam: Wiener Process Input . . . . . . . . . . . . . 186--199 Wolfgang Stadje Asymptotic Behaviour of a Stopping Time Related to Cumulative Sum Procedures and Single-Server Queues . . . . . . . . . . 200--214 Sòren Asmussen and Hermann Thorisson A Markov Chain Approach to Periodic Queues . . . . . . . . . . . . . . . . . 215--225 William A. Massey Calculating Exit Times for Series Jackson Networks . . . . . . . . . . . . 226--234 U. Sumita On Limiting Behavior of Ordinary and Conditional First-Passage Times for a Class of Birth-Death Processes . . . . . 235--240 M. J. Faddy and Warren W. Esty A Stochastic Death Process with Elimination by Pairing . . . . . . . . . 241--245 Dietmar Pfeifer and Ursula Heller A Martingale Characterization of Mixed Poisson Processes . . . . . . . . . . . 246--251 G. Hooghiemstra On Functionals of the Adjusted Range Process . . . . . . . . . . . . . . . . 252--257 Ljuben R. Mutafchiev On Random Mappings with a Single Attracting Centre . . . . . . . . . . . 258--264 James Lynch Antistarshapedness, Dispersiveness and Mixtures . . . . . . . . . . . . . . . . 265--269 Masami Kurano Learning Algorithms for Markov Decision Processes . . . . . . . . . . . . . . . 270--276 L. E. Garey and R. D. Gupta A Note on Continuous Search Algorithms 277--280 Terje Aven and Simen Gaarder Optimal Replacement in a Shock Model: Discrete Time . . . . . . . . . . . . . 281--287 C. D. Lai Letter to the Editor . . . . . . . . . . 288--289 W. Stadje Acknowledgement . . . . . . . . . . . . 290--290 Anonymous Corrections: A Correlated Queue with Infinitely Many Servers . . . . . . . . 291--291 Anonymous Corrections: On the Moments of a Self-Correcting Process . . . . . . . . 291--291 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
F. W. O. Saporu On the Solution of Compartmental Processes and Their Use in Modelling Stages of Infection of a Disease with Reference to Onchocerciasis . . . . . . 293--303 J. D. Biggins and Thomas Götz Expected Population Size in the Generation-Dependent Branching Process 304--314 Enzo Orsingher Stochastic Motions on the $3$-Sphere Governed by Wave and Heat Equations . . 315--327 M. Rosenblatt Scale Renormalization and Random Solutions of the Burgers Equation . . . 328--338 Linn I. Sennott Conditions for the Non-Ergodicity of Markov Chains with Application to a Communication System . . . . . . . . . . 339--346 Guy Fayolle and Rudolph Iasnogorodski Criteria for the Non-Ergodicity of Stochastic Processes: Application to the Exponential Back-off Protocol . . . . . 347--354 L. M. Ricciardi and L. Sacerdote On the Probability Densities of an Ornstein--Uhlenbeck Process with a Reflecting Boundary . . . . . . . . . . 355--369 E. J. Pauwels Smooth First-Passage Densities for One-Dimensional Diffusions . . . . . . . 370--377 Igor Rychlik Joint Distribution of Successive Zero Crossing Distances for Stationary Gaussian Processes . . . . . . . . . . . 378--385 John W. Mamer Monotone Stopping Games . . . . . . . . 386--401 Gary Gottlieb Non-Random Shuffling for Multiple Decks 402--410 Wilfrid S. Kendall and Joseph Mecke The Range of the Mean-Value Quantities of Planar Tessellations . . . . . . . . 411--421 F. W. Huffer and L. A. Shepp On the Probability of Covering the Circle by Random Arcs . . . . . . . . . 422--429 Thomas Kämpke On the Optimality of Static Priority Policies in Stochastic Scheduling on Parallel Machines . . . . . . . . . . . 430--448 Kevin K. Anderson Limit Theorems for General Shock Models with Infinite Mean Intershock Times . . 449--456 F. A. Attia The Control of a Finite Dam with Penalty Cost Function: Markov Input Rate . . . . 457--465 Betsy S. Greenberg and Ronald W. Wolff An Upper Bound on the Performance of Queues with Returning Customers . . . . 466--475 Christos Langaris Busy-Period Analysis of a Correlated Queue with Exponential Demand and Service . . . . . . . . . . . . . . . . 476--485 Thomas Hanschke Explicit Formulas for the Characteristics of the M/M/2/2 Queue with Repeated Attempts . . . . . . . . . 486--494 Austin J. Lemoine On Sojourn Time in Jackson Networks of Queues . . . . . . . . . . . . . . . . . 495--510 R. Schassberger and H. Daduna Sojourn Times in Queuing Networks with Multiserver Modes . . . . . . . . . . . 511--521 B. Pittel An Urn Model for Cannibal Behavior . . . 522--526 Peter A. Rogerson Probabilities of Choosing Applicants of Arbitrary Rank in the Secretary Problem 527--533 A. C. Dallas Characterizing the Geometric Distribution Using Expectations of Order Statistics . . . . . . . . . . . . . . . 534--539 J. P. C. Blanc A Note on Waiting Times in Systems with Queues in Parallel . . . . . . . . . . . 540--546 Ronald W. Wolff Upper Bounds on Work in System for Multichannel Queues . . . . . . . . . . 547--551 Erik A. van Doorn and Alan J. Branford Comments on a Paper by A. J. Branford 552--554 Roman Boyko Comment on Paper by Gani and Tin . . . . 554--554 Anonymous Correction: First-Passage Times with $ {\rm PF}_r $ Densities . . . . . . . . . 555--555 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Edward I. George Sampling Random Polygons . . . . . . . . 557--573 Enzo Orsingher On the Maximum of Random Fields Represented by Stochastic Integrals over Circles . . . . . . . . . . . . . . . . 574--585 A. D. Barbour and G. K. Eagleson An Improved Poisson Limit Theorem for Sums of Dissociated Random Variables . . 586--599 Diana Gibson and E. Seneta Augmented Truncations of Infinite Stochastic Matrices . . . . . . . . . . 600--608 Laurence A. Baxter and Chul Kim Bounding the Stochastic Performance of Continuum Structure Functions. II . . . 609--618 Richard L. Smith and Ishay Weissman Large Deviations of Tail Estimators Based on the Pareto Approximation . . . 619--630 Masaaki Kijima Spectral Structure of the First-Passage-Time Densities for Classes of Markov Chains . . . . . . . . . . . . 631--643 Frederick J. Beutler and Keith W. Ross Uniformization for Semi-Markov Decision Processes under Stationary Policies . . 644--656 S. Anily and A. Federgruen Simulated Annealing Methods with General Acceptance Probabilities . . . . . . . . 657--667 R. J. Kulperger Some Remarks on Regression with Autoregressive Errors and Their Residual Processes . . . . . . . . . . . . . . . 668--678 Bo Henry Lindqvist Monotone and Associated Markov Chains, with Applications to Reliability Theory 679--695 Arie Hordijk and Ad Ridder Stochastic Inequalities for an Overflow Model . . . . . . . . . . . . . . . . . 696--708 A. Federgruen and H. Groenevelt The Impact of the Composition of the Customer Base in General Queueing Models 709--724 Arie Harel and Paul Zipkin The Convexity of a General Performance Measure for Multiserver Queues . . . . . 725--736 J. George Shanthikumar and Ushio Sumita Convex Ordering of Sojourn Times in Single-Server Queues: Extremal Properties of FIFO and LIFO Service Disciplines . . . . . . . . . . . . . . 737--748 Zvi Rosberg Bounds on the Expected Waiting Time in a GI/G/1 Queue: Upgrading for Low Traffic Intensity . . . . . . . . . . . . . . . 749--757 D. Fakinos The Single-Server Queue with Service Depending on Queue Size and with the Preemptive-Resume Last-Come-First-Served Queue Discipline . . . . . . . . . . . . 758--767 Anthony G. Pakes Remarks on the Maxima of a Martingale Sequence with Application to the Simple Critical Branching Process . . . . . . . 768--772 David Gilat On the Best Order of Observation in Optimal Stopping Problems . . . . . . . 773--778 Chul Kim and Laurence A. Baxter Reliability Importance for Continuum Structure Functions . . . . . . . . . . 779--785 Anonymous Correction: A Stress-Strength System . . 786--786 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
P. Todorovic and J. Gani Modeling the Effect of Erosion on Crop Production . . . . . . . . . . . . . . . 787--797 F. M. Dekking Subcritical Branching Processes in a Two-State Random Environment, and a Percolation Problem on Trees . . . . . . 798--808 J. Michael Steele and Lawrence A. Shepp and William F. Eddy On the Number of Leaves of a Euclidean Minimal Spanning Tree . . . . . . . . . 809--826 Rocco Ballerini and Sidney I. Resnick Embedding Sequences of Successive Maxima in Extremal Processes, with Applications 827--837 W. J. Voorn Characterization of the Logistic and Loglogistic Distributions by Extreme Value Related Stability with Random Sample Size . . . . . . . . . . . . . . 838--851 Henk Brozius and Laurens de Haan On Limiting Laws for the Convex Hull of a Sample . . . . . . . . . . . . . . . . 852--862 J. Gates Some Properties of Chord Length Distributions . . . . . . . . . . . . . 863--874 Ib M. Skovgaard Saddlepoint Expansions for Conditional Distributions . . . . . . . . . . . . . 875--887 Václav E. Benes and Ioannis Karatzas Transition Probabilities for Some `Special' Diffusions . . . . . . . . . . 888--898 Jacques-Édouard Dies Transience des Cha\^\ines de Markov Linéaires sur les Permutations. (French) [Transience of Markov chains on linear permutations] . . . . . . . . . . . . . 899--907 Eric Renshaw The Discrete Uhlenbeck--Ornstein Process 908--917 F. Thomas Bruss On an Optimal Selection Problem of Cowan and Zabczyk . . . . . . . . . . . . . . 918--928 A. J. Heunis Non-Linear Filtering of Rare Events with Large Signal-to-Noise Ratio . . . . . . 929--948 O. J. Boxma and W. P. Groenendijk Pseudo-Conservation Laws in Cyclic-Service Systems . . . . . . . . . 949--964 Ilze Ziedins Quasi-Stationary Distributions and One-Dimensional Circuit-Switched Networks . . . . . . . . . . . . . . . . 965--977 Fred W. Huffer Inequalities for the M/G/$ \infty $ Queue and Related Shot Noise Processes 978--989 Benjamin Avi-Itzhak and Shlomo Halfin Server Sharing with a Limited Number of Service Positions and Symmetric Queues 990--1000 Prem S. Puri On Almost Sure Convergence of an Erosion Process Due to Todorovic and Gani . . . 1001--1005 G. Abdallaoui Probability of Maintaining or Attaining a Structure in One Step . . . . . . . . 1006--1011 Gerard Hooghiemstra and Wolfgang Stadje Letter to the Editor . . . . . . . . . . 1012--1013 Anonymous Correction: A Modified Repair Strategy for Two-Component Systems with Revealed and Unrevealed Faults . . . . . . . . . 1014--1014 Anonymous Volume Information . . . . . . . . . . . 1015--1018 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Herbert Ziezold and Christian Grillenberger On the Critical Infection Rate of the One-Dimensional Basic Contact Process: Numerical Results . . . . . . . . . . . 1--8 Arie Hordijk and Ad Ridder Insensitive Bounds for the Stationary Distribution of Non-Reversible Markov Chains . . . . . . . . . . . . . . . . . 9--20 G. Tsaklidis and P.-C. G. Vassiliou Asymptotic Periodicity of the Variances and Covariances of the State Sizes in Non-Homogeneous Markov Systems . . . . . 21--33 Jean Johnson and Dean Isaacson Conditions for Strong Ergodicity Using Intensity Matrices . . . . . . . . . . . 34--42 Luigi M. Ricciardi and Shunsuke Sato First-Passage-Time Density and Moments of the Ornstein--Uhlenbeck Process . . . 43--57 D. Y. Downham and S. B. Fotopoulos The Transient Behaviour of the Simple Random Walk in the Plane . . . . . . . . 58--69 O. E. Percus and J. K. Percus Coin Tossing, Revisited . . . . . . . . 70--80 J. Glaz and B. Johnson Boundary Crossing for Moving Sums . . . 81--88 K. B. Athreya Hitting Times of Decreasing Sets for Regenerative Processes . . . . . . . . . 89--96 J. H. Reeves and V. F. Flack A Generalization of the Classical Secretary Problem: Dependent Arrival Sequences . . . . . . . . . . . . . . . 97--105 Richard Arratia and Pricilla Morris and Michael S. Waterman Stochastic Scrabble: Large Deviations for Sequences with Scores . . . . . . . 106--119 N. H. Bingham and R. A. Doney On Higher-Dimensional Analogues of the Arc-Sine Law . . . . . . . . . . . . . . 120--131 Claudia Klüppelberg Subexponential Distributions and Integrated Tails . . . . . . . . . . . . 132--141 Eric S. Tollar A Characterization of the Gamma Distribution from a Random Difference Equation . . . . . . . . . . . . . . . . 142--149 Moshe Shaked and J. George Shanthikumar Multivariate Conditional Hazard Rates and the MIFRA and MIFR Properties . . . 150--168 D. König and M. Miyazawa Relationships and Decomposition in the Delayed Bernoulli Feedback Queueing System . . . . . . . . . . . . . . . . . 169--183 V. Anantharam Modelling the Flow of Coalescing Data Streams through a Processor . . . . . . 184--193 R. Schassberger The Steady-State Distribution of Spent Service Times Present in the M/G/1 Foreground-Background Processor-Sharing Queue . . . . . . . . . . . . . . . . . 194--203 Ravindra M. Phatarfod Sums and Weighted Sums of a Gamma Markov Sequence . . . . . . . . . . . . . . . . 204--209 Timothy C. Brown and M. Gopalan Nair A Simple Proof of the Multivariate Random Time Change Theorem for Point Processes . . . . . . . . . . . . . . . 210--214 Svante Janson Random Coverings of the Circle by Arcs with Restricted Endpoints . . . . . . . 215--219 Kevin K. Anderson A Note on Cumulative Shock Models . . . 220--223 Antony Svoronos and Linda Green A Convexity Result for Single-Server Exponential Loss Systems with Non-Stationary Arrivals . . . . . . . . 224--227 Gordon E. Willmot A Note on the Equilibrium M/G/1 Queue Length . . . . . . . . . . . . . . . . . 228--231 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
John Haigh The Distribution of Evolutionarily Stable Strategies . . . . . . . . . . . 233--246 Fima C. Klebaner Conditions for Fixation of an Allele in the Density-Dependent Wright--Fisher Models . . . . . . . . . . . . . . . . . 247--256 D. Szynal and S. Wedrychowicz On Solutions of a Stochastic Integral Equation of the Volterra Type with Applications for Chemotherapy . . . . . 257--267 A. G. Kalamatianou A Model for Responding to Promotion Blockages . . . . . . . . . . . . . . . 268--278 Masaaki Kijima On Passage and Conditional Passage Times for Markov Chains in Continuous Time . . 279--290 Hsiaw-Chan Yeh and Barry C. Arnold and Christopher A. Robertson Pareto Processes . . . . . . . . . . . . 291--301 Tomás Cipra Autoregressive Processes in Optimization 302--312 Ed McKenzie The Distributional Structure of Finite Moving-Average Processes . . . . . . . . 313--321 J. Mòller Stereological Analysis of Particles of Varying Ellipsoidal Shape . . . . . . . 322--335 R. C. Griffiths On the Distribution of Points in a Poisson Dirichlet Process . . . . . . . 336--345 Fred Huffer Divided Differences and the Joint Distribution of Linear Combinations of Spacings . . . . . . . . . . . . . . . . 346--354 Nader Ebrahimi and T. Ramalingam On the Dependence Structure of Hitting Times of Univariate Processes . . . . . 355--362 Mitsushi Tamaki Optimal Stopping in the Parking Problem with U-Turn . . . . . . . . . . . . . . 363--374 A. Rangan and R. Esther Grace A Non-Markov Model for the Optimum Replacement of Self-Repairing Systems Subject to Shocks . . . . . . . . . . . 375--382 Thomas H. Savits Some Multivariate Distributions Derived from a Non-Fatal Shock Model . . . . . . 383--390 Karl Sigman Regeneration in Tandem Queues with Multiserver Stations . . . . . . . . . . 391--403 Julian Keilson and Ravi Ramaswamy The Backlog and Depletion-Time Process for M/G/1 Vacation Models with Exhaustive Service Discipline . . . . . 404--412 Eric Willekens On Higher Moments of the Population Size in a Subcritical Branching Process . . . 413--417 M. R. Chernick and D. J. Daley and R. P. Littlejohn A Time-Reversibility Relationship between Two Markov Chains with Exponential Stationary Distributions . . 418--422 Nikos Yannaros On Cox Processes and Gamma Renewal Processes . . . . . . . . . . . . . . . 423--427 O. Chryssaphinou and S. Papastavridis A Limit Theorem for the Number of Non-Overlapping Occurrences of a Pattern in a Sequence of Independent Trials . . 428--431 Ronald W. Wolff Sample-Path Derivations of the Excess, Age, and Spread Distributions . . . . . 432--436 Bert Fristedt and Donald A. Berry Optimality of Myopic Stopping Times for Geometric Discounting . . . . . . . . . 437--443 K. R. Parthasarathy Obituary: Andrei Nikolaevich Kolmogorov 445--450 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
W. Th. F. Den Hollander and G. H. Weiss On the Range of a Constrained Random Walk . . . . . . . . . . . . . . . . . . 451--463 Laurel Smith and Persi Diaconis Honest Bernoulli Excursions . . . . . . 464--477 Ilan Eshel and Daphna Weinshall Cooperation in a Repeated Game with Random Payment Function . . . . . . . . 478--491 P. B. Cerrito An Improved Stochastic Model Allowing Interaction among Individuals . . . . . 492--500 Moshe Shaked and J. George Shanthikumar On the First-Passage Times of Pure Jump Processes . . . . . . . . . . . . . . . 501--509 Dilip Roy and S. P. Mukherjee Generalised Mixtures of Exponential Distributions . . . . . . . . . . . . . 510--518 Jürg Hüsler Maximal, Non-Uniform Spacings and the Coverage Problem . . . . . . . . . . . . 519--528 L. Benkherouf and J. A. Bather Oil Exploration: Sequential Decisions in the Face of Uncertainty . . . . . . . . 529--543 Masami Yasuda The Optimal Value of Markov Stopping Problems with One-Step Look Ahead Policy 544--552 Jian Liu and Peter J. Brockwell On the General Bilinear Time Series Model . . . . . . . . . . . . . . . . . 553--564 Masakiyo Miyazawa and Genji Yamazaki The Basic Equations for a Supplemented GSMP and Its Applications to Queues . . 565--578 Benjamin Avi-Itzhak and Shlomo Halfin Response Times in M/M/1 Time-Sharing Schemes with Limited Number of Service Positions . . . . . . . . . . . . . . . 579--595 Xing Jin On Berry--Esseen Rate for Queue Length of the GI/G/K System in Heavy Traffic 596--611 C. J. Ridler-Rowe Extinction Times for Certain Predator-Prey Processes . . . . . . . . 612--616 Irini Papaderou-Vogiatzaki and Rolf Schneider A Collision Probability Problem . . . . 617--623 Stephen Scheinberg Waiting Times for Multiple Occurrences of Several Events . . . . . . . . . . . 624--629 Anatoli Yashin and Elja Arjas A Note on Random Intensities and Conditional Survival Functions . . . . . 630--635 V. Ramaswami and D. M. Lucantoni Moments of the Stationary Waiting Time in the GI/PH/1 Queue . . . . . . . . . . 636--641 Vijay K. Rohatgi Obituary: Eugene Lukacs . . . . . . . . 642--646 Anonymous Correction: Optimum Replacement of a System Subject to Shocks . . . . . . . . 647--647 Anonymous Correction: On an Optimal Selection Problem of Cowan and Zabczyk . . . . . . 647--647 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
L. Billard and P. W. A. Dayananda A Drug Addiction Model . . . . . . . . . 649--662 Claude Lefevre and Marie-Pierre Malice Comparisons for Carrier-Borne Epidemics in Heterogeneous and Homogeneous Populations . . . . . . . . . . . . . . 663--674 Ushio Sumita and Maria Rieders First Passage Times and Lumpability of Semi-Markov Processes . . . . . . . . . 675--687 Rex A. Dwyer On the Convex Hull of Random Points in a Polytope . . . . . . . . . . . . . . . . 688--699 E. G. Enns and P. F. Ehlers Chords through a Convex Body Generated from within an Embedded Body . . . . . . 700--707 Peter Waksman Inverting the Statistics of the Circle Transform . . . . . . . . . . . . . . . 708--716 L. Holst and J. E. Kennedy and M. P. Quine Rates of Poisson Convergence for Some Coverage and Urn Problems Using Coupling 717--724 Anders Rygh Swensen A Note on a Randomized Occupancy Problem 725--732 David Balding Diffusion-Reaction in One Dimension . . 733--743 Eric Renshaw The High-Order Autocovariance Structure of the Telegraph Wave . . . . . . . . . 744--751 Tapani Lehtonen Scheduling Jobs with Exponential Processing Times on Parallel Machines 752--762 Allen Currit and Nozer D. Singpurwalla On the Reliability Function of a System of Components Sharing a Common Environment . . . . . . . . . . . . . . 763--771 S. Papastavridis and I. Hadzichristos Formulas for the Reliability of a Consecutive-$k$-out-of-$n$: $F$ System 772--779 Naftali A. Langberg Comparisons of Replacement Policies . . 780--788 Thomas H. Savits A Cost Relationship between Age and Block Replacement Policies . . . . . . . 789--796 Vinod Sharma Stability and Continuity for Slotted Aloha with Stationary Non-Independent Input Traffic . . . . . . . . . . . . . 797--807 Keith N. Crank A Method for Approximating the Probability Functions of a Markov Chain 808--814 Dragan Banjevi\'c On Some Statistics Connected with Runs in Markov Chains . . . . . . . . . . . . 815--821 Nikos Yannaros The Inverses of Thinned Renewal Processes . . . . . . . . . . . . . . . 822--828 J. Durbin A Reconciliation of Two Different Expressions for the First-Passage Density of Brownian Motion to a Curved Boundary . . . . . . . . . . . . . . . . 829--832 Fred W. Huffer Some Results concerning Random Arcs on the Circle . . . . . . . . . . . . . . . 833--838 Gordon E. Willmot Letter to the Editor . . . . . . . . . . 839--839 Anonymous Correction: The First-Passage Density of a Continuous Gaussian Process to a General Boundary . . . . . . . . . . . . 840--840 Anonymous Volume Information . . . . . . . . . . . 841--844 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . i-320 Anonymous Preface . . . . . . . . . . . . . . . . v--viii J. Gani Adventures in Applied Probability . . . 3--23 David G. Kendall Applied Probability: Past, Present and Future . . . . . . . . . . . . . . . . . 25--30 Marcel F. Neuts Computer Experimentation in Applied Probability . . . . . . . . . . . . . . 31--43 Mavis Hitchcock The Origin and Growth of the Applied Probability Trust . . . . . . . . . . . 47--64 Kathleen M. Lyle Hot Metal to Hard Disc . . . . . . . . . 65--75 M. S. Bartlett Stochastic Models and Field Trials . . . 79--89 Peter J. Brockwell Stochastic Models in Cell Kinetics . . . 91--111 J. F. C. Kingman Typical Polymorphisms Maintained by Selection at a Single Locus . . . . . . 113--125 Cedric A. B. Smith and Robert Thomson Estimation of Inbreeding from Population Samples . . . . . . . . . . . . . . . . 127--135 P. D. Finch Bell's Inequality, Probability Modelling and Quantum Correlation Experiments . . 139--150 K. R. Parthasarathy The Passage from Random Walk to Diffusion in Quantum Probability . . . . 151--166 Geoffrey S. Watson Some Discrete Distributions Associated with Orthogonal Polynomials . . . . . . 167--171 A. D. Barbour Stein's Method and Poisson Process Convergence . . . . . . . . . . . . . . 175--184 Samuel Karlin Coincident Probabilities and Applications in Combinatorics . . . . . 185--200 R. M. Loynes Some Applications of Weak Convergence to Statistics . . . . . . . . . . . . . . . 201--211 N. H. Bingham On the Limit of a Supercritical Branching Process . . . . . . . . . . . 215--228 Ron Engelen and Paul Tommassen and Wim Vervaat Ignatov's Theorem: A New and Short Proof 229--236 J. Keilson and M. Zachmann Homogeneous Row-Continuous Bivariate Markov Chains with Boundaries . . . . . 237--256 N. U. Prabhu Theory of Semiregenerative Phenomena . . 257--274 R. L. Tweedie Invariant Measures for Markov Chains with no Irreducibility Assumptions . . . 275--285 P. Whittle Restless Bandits: Activity Allocation in a Changing World . . . . . . . . . . . . 287--298 E. J. Hannan and J. Rissanen The Width of a Spectral Window . . . . . 301--307 C. C. Heyde Some Thoughts on Stationary Processes and Linear Time Series Analysis . . . . 309--318 J. W. Cohen On Entrance Times of a Homogeneous $N$-Dimensional Random Walk: An Identity 321--333 J. Gani A Correlated Random Walk for the Transport and Sedimentation of Particles 335--346 J. M. Hammersley Mesoadditive Processes and the Specific Conductivity of Lattices . . . . . . . . 347--358 Lajos Takács On the Limit Distribution of the Number of Cycles in a Random Graph . . . . . . 359--376 Anonymous Back Matter . . . . . . . . . . . . . . 377--387
V. G. Gadag and M. B. Rajarshi Multitype Branching Processes Based on Exact Progeny Lengths of Particles in a Galton--Watson Branching Process . . . . 1--8 Donald A. Dawson and Klaus Fleischmann A Stochastic Explosive Reaction System with Sampling . . . . . . . . . . . . . 9--22 S. Kalpazidou Representation of Denumerable Markov Chains with Multiple States by Weighted Circuits . . . . . . . . . . . . . . . . 23--35 Georg Lindgren Slepian Models for $ \chi^2 $-Processes with Dependent Components with Application to Envelope Upcrossings . . 36--49 Mario Lefebvre Commande Optimale du Processus de Wiener. (French) [Optimal control of Wiener processes] . . . . . . . . . . . 50--57 J. R. Leslie On the Non-Closure under Convolution of the Subexponential Family . . . . . . . 58--66 Holger Dette and Norbert Henze The Limit Distribution of the Largest Nearest-Neighbour Link in the Unit $d$-Cube . . . . . . . . . . . . . . . . 67--80 Philip J. Boland and Frank Proschan and Y. L. Tong Modelling Dependence in Simple and Indirect Majority Systems . . . . . . . 81--88 Masaaki Kijima Some Results for Repairable Systems with General Repair . . . . . . . . . . . . . 89--102 Lajos Takács Ballots, Queues and Random Graphs . . . 103--112 Nico M. Van Dijk A Proof of Simple Insensitive Bounds for a Pure Overflow System . . . . . . . . . 113--120 James McKenna A Generalization of Little's Law to Moments of Queue Lengths and Waiting Times in Closed, Product-Form Queueing Networks . . . . . . . . . . . . . . . . 121--133 Pantelis Tsoucas and Jean Walrand Monotonicity of Throughput in Non-Markovian Networks . . . . . . . . . 134--141 S. D. Sharma On a Non-Markovian Time-Dependent Queueing System . . . . . . . . . . . . 142--151 Betsy S. Greenberg M/G/1 Queueing Systems with Returning Customers . . . . . . . . . . . . . . . 152--163 John Haigh How Large Is the Support of an ESS? . . 164--170 Pierre Baldi and Yosef Rinott Asymptotic Normality of Some Graph-Related Statistics . . . . . . . . 171--175 Wen-Jang Huang On Some Characterizations of the Poisson Process . . . . . . . . . . . . . . . . 176--181 Enzo Orsingher On the Maximum of Gaussian Fourier Series Emerging in the Analysis of Random Vibrations . . . . . . . . . . . 182--188 P. A. Blight Time Series Formed from the Superposition of Discrete Renewal Processes . . . . . . . . . . . . . . . 189--195 Laurence A. Baxter and Seung Min Lee Structure Functions with Finite Minimal Vector Sets . . . . . . . . . . . . . . 196--201 Claude Lef\`evre and Marie-Pierre Malice On a System of Components with Joint Lifetimes Distributed as a Mixture of Independent Exponential Laws . . . . . . 202--208 Bhaskar Sengupta A Perturbation Method for Solving Some Queues with Processor Sharing Discipline 209--214 E. J. Hannan Obituary: Some Memories of Pat Moran . . 215--218 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
M. Teresa Alpuim An Extremal Markovian Sequence . . . . . 219--232 Stratis Kounias and Kiki Sotirakoglou Bonferroni Bounds Revisited . . . . . . 233--241 W. Henderson and P. Taylor Insensitivity of Processes with Interruptions . . . . . . . . . . . . . 242--258 Barthold F. Van Wel The Convex Hull of a Uniform Sample from the Interior of a Simple $d$-Polytope 259--273 Gy. Terdik and T. Subba Rao On Wiener--Itô Representation and the Best Linear Predictors for Bilinear Time Series . . . . . . . . . . . . . . . . . 274--286 Nader Ebrahimi and T. Ramallingam On the Dependence Structure of Hitting Times of Multivariate Processes . . . . 287--295 Rudolf Grübel Stochastic Models as Functionals: Some Remarks on the Renewal Case . . . . . . 296--303 T. S. Ferguson and J. P. Hardwick Stopping Rules for Proofreading . . . . 304--313 F. A. Attia Resolvent Operators of Markov Processes and Their Applications in the Control of a Finite Dam . . . . . . . . . . . . . . 314--324 R. W. R. Darling Infinite-Dimensional Stochastic Difference Equations for Particle Systems and Network Flows . . . . . . . 325--344 Jewgeni Dshalalow Multichannel Queueing Systems with Infinite Waiting Room and Stochastic Control . . . . . . . . . . . . . . . . 345--362 S. A. Berezner and V. A. Malyshev The Stability of Infinite-Server Networks with Random Routing . . . . . . 363--371 Nico M. van Dijk An LCFS Finite Buffer Model with Finite Source Batch Input . . . . . . . . . . . 372--380 Nicholas Bambos and Jean Walrand On Queues with Periodic Inputs . . . . . 381--389 Austin J. Lemoine Waiting Time and Workload in Queues with Periodic Poisson Input . . . . . . . . . 390--397 Harry Cohn Multitype Finite Mean Supercritical Age-Dependent Branching Processes . . . 398--403 B. B. Winter Joint Simulation of Backward and Forward Recurrence Times in a Renewal Process 404--407 Fernando Affentranger Random Circles in the $d$-Dimensional Unit Ball . . . . . . . . . . . . . . . 408--412 J. George Shanthikumar and David D. Yao Stochastic Monotonicity in General Queueing Networks . . . . . . . . . . . 413--417 François Baccelli and William A. Massey A Sample Path Analysis of the M/M/1 Queue . . . . . . . . . . . . . . . . . 418--422 Saeed Ghahramani Finiteness of Moments of Virtual Work for GI/G/c Queues . . . . . . . . . . . 423--425 A. Joffe Obituary: Michel Métivier 1931--1988 . . 426--429 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Fima C. Klebaner Linear Growth in Near-Critical Population-Size-Dependent Multitype Galton--Watson Processes . . . . . . . . 431--445 Gerardo Rubino and Bruno Sericola On Weak Lumpability in Markov Chains . . 446--457 Jonathan Cohen On the Compound Poisson Limit for High Level Exceedances . . . . . . . . . . . 458--465 Christopher J. Lloyd Some Further Results on Random Splitting of an Interval . . . . . . . . . . . . . 466--476 Peter Donnelly and Ward Whitt On Reinforcement-Depletion Compartmental Urn Models . . . . . . . . . . . . . . . 477--489 Jan Rataj and Ivan Saxl Analysis of Planar Anisotropy by Means of the Steiner Compact . . . . . . . . . 490--502 Shlomo Halfin Next-Fit Bin Packing with Random Piece Sizes . . . . . . . . . . . . . . . . . 503--511 Clifton Sutton Packing Densities of Randomly Constructed Codes . . . . . . . . . . . 512--523 Barry C. Arnold and C. A. Robertson Autoregressive Logistic Processes . . . 524--531 Joseph Kupka and Sonny Loo The Hazard and Vitality Measures of Ageing . . . . . . . . . . . . . . . . . 532--542 Dror Zuckerman Optimal Inspection Policy for a Multi-Unit Machine . . . . . . . . . . . 543--551 J. George Shanthikumar and Ushio Sumita Modified Lindley Process with Replacement: Dynamic Behavior, Asymptotic Decomposition and Applications . . . . . . . . . . . . . . 552--565 John E. Glynn A Discrete-Time Storage Process with a General Release Rule . . . . . . . . . . 566--583 P. R. Parthasarathy and M. Sharafali Transient Solution to the Many-Server Poisson Queue: A Simple Approach . . . . 584--594 Tetsuji Hirayama and Masaaki Kijima and Shoichi Nishimura Further Results for Dynamic Scheduling of Multiclass G/G/1 Queues . . . . . . . 595--603 Panagiotis Konstantopoulos and Jean Walrand Stationary and Stability of Fork-Join Networks . . . . . . . . . . . . . . . . 604--614 Xi-Ren Cao Realization Probability and Throughput Sensitivity in a Closed Jackson Network 615--624 James G. Booth On the Limiting Behaviour of Downton's Carrier Epidemic in the Case of a General Infection Mechanism . . . . . . 625--630 V. G. Gadag A Note on the Multitype Markov Branching Process . . . . . . . . . . . . . . . . 631--636 Janusz Pawlowski Poisson Theorem for Non-Homogeneous Markov Chains . . . . . . . . . . . . . 637--642 A. I. Zeifman Quasi-Ergodicity for Non-Homogeneous Continuous-Time Markov Chains . . . . . 643--648 Wolfgang Weil Collision Probabilities for Convex Sets 649--654 Brendan O'Flaherty Some Results on Two-Armed Bandits When Both Projects Vary . . . . . . . . . . . 655--658 R. A. Doney and D. R. Grey Some Remarks on Brownian Motion with Drift . . . . . . . . . . . . . . . . . 659--663 Douglas W. Cooper Random Sequential Packing Simulations in Three Dimensions for Aligned Cubes . . . 664--670 R. D. Foley and Georgia-Ann Klutke Stationary Increments in the Accumulated Work Process in Processor-Sharing Queues 671--677 Karl Sigman Notes on the Stability of Closed Queueing Networks . . . . . . . . . . . 678--682 Gennadij Falin Letter to the Editor . . . . . . . . . . 683--684 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Richard J. Kryscio and Claude Lefévre On the Extinction of the S-I-S Stochastic Logistic Epidemic . . . . . . 685--694 Gerold Alsmeyer and Albrecht Irle Optimal Strategies for Discovering New Species in Continuous Time . . . . . . . 695--706 V. Giorno and A. G. Nobile and L. M. Ricciardi A Symmetry-Based Constructive Approach to Probability Densities for One-Dimensional Diffusion Processes . . 707--721 Dietmar Pfeifer Extremal Processes, Secretary Problems and the 1/e Law . . . . . . . . . . . . 722--733 W. J. Voorn Stability of Extremes with Random Sample Size . . . . . . . . . . . . . . . . . . 734--743 Gerardo Rubino and Bruno Sericola Sojourn Times in Finite Markov Processes 744--756 Ram Lal and U. Narayan Bhat Some Explicit Results for Correlated Random Walks . . . . . . . . . . . . . . 757--766 Brahim Ksir Shepp Statistic for Markov Chains Application to a Long-Run Average Cost Criterion . . . . . . . . . . . . . . . 767--775 P.-C. G. Vassiliou and G. Tsaklidis The Rate of Convergence of the Vector of Variances and Covariances in Non-Homogeneous Markov Systems . . . . . 776--783 Heikki Bonsdorff A Comparison of the Ordinary and a Varying Parameter Exponential Smoothing 784--792 Keigo Yamada Limit Theorems for Jump Shock Models . . 793--806 Kyle Siegrist $n$-Point, Win-by-$k$ Games . . . . . . 807--814 Philippe Nain and Pantelis Tsoucas and Jean Walrand Interchange Arguments in Stochastic Scheduling . . . . . . . . . . . . . . . 815--826 Izi Karasu and Süleyman Özekici NBUE and NWUE Properties of Increasing Markov Processes . . . . . . . . . . . . 827--834 Raya Kaspi and David Perry On a Duality between a Non-Markovian Storage/Production Process and a Markovian Dam Process with State-Dependent Input and Output . . . . 835--844 Michael Alex and Josef Steinebach Invariance Principles in Queueing Theory 845--857 Douglas P. Wiens On the Busy Period Distribution of the M/G/2 Queueing System . . . . . . . . . 858--865 Pedro Saavedra Santana and Miguel Sanchez Garcia A Population Process with Offspring Distribution Depending on Both Population Size and Generation . . . . . 866--872 E. G. Kyriakidis and Andris Abakuks Optimal Pest Control through Catastrophes . . . . . . . . . . . . . . 873--879 K. Kämmerle Looking Forwards and Backwards in a Bisexual Moran Model . . . . . . . . . . 880--885 Dilip Roy A Characterization of Gumbel's Bivariate Exponential and Lindley and Singpurwalla's Bivariate Lomax Distributions . . . . . . . . . . . . . 886--891 Emily S. Murphree Some New Results on the Subexponential Class . . . . . . . . . . . . . . . . . 892--897 Yoshiaki Itoh A Certain Configuration of Random Points on a Circle Associated with a Generalized Lotka--Volterra Equation . . 898--900 Rahim Shamsiev Circuit-Switching Networks with Priorities on a One-Dimensional Lattice 901--905 Anonymous Correction: \booktitleApplied Probability Complete Author and Subject Index no. 7 . . . . . . . . . . . . . . 906--906 Anonymous Correction: Obituary: Some Memories of Pat Moran . . . . . . . . . . . . . . . 906--906 Anonymous Volume Information . . . . . . . . . . . 907--910 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
R. D. Routledge Spatial Patterns Arising from Plant Dispersal as Modelled by a Correlated Random Walk . . . . . . . . . . . . . . 1--13 B. Pittel On a Daley-Kendall Model of Random Rumours . . . . . . . . . . . . . . . . 14--27 Jennie C. Hansen A Functional Central Limit Theorem for the Ewens Sampling Formula . . . . . . . 28--43 James A. Bucklew and Peter Ney and John S. Sadowsky Monte Carlo Simulation and Large Deviations Theory for Uniformly Recurrent Markov Chains . . . . . . . . 44--59 O. L. V. Costa Stationary Distributions for Piecewise-Deterministic Markov Processes 60--73 Peter G. Harrison Laplace Transform Inversion and Passage-Time Distributions in Markov Processes . . . . . . . . . . . . . . . 74--87 Sándor Csörg\Ho and Jef L. Teugels Empirical Laplace Transform and Approximation of Compound Distributions 88--101 A. Buonocore and V. Giorno and A. G. Nobile and L. M. Ricciardi On the Two-Boundary First-Crossing-Time Problem for Diffusion Processes . . . . 102--114 J. George Shanthikumar and Hui-Wen Koo On Uniform Conditional Stochastic Order Conditioned on Planar Regions . . . . . 115--123 Vijay K. Gupta and Oscar J. Mesa and E. Waymire Tree-Dependent Extreme Values: The Exponential Case . . . . . . . . . . . . 124--133 Matthias Fassbender Optimal Stationary Strategies in Leavable Markov Decision Processes . . . 134--145 P. Whittle A Construction for Multi-Modal Processes, and a Potential Memory Device 146--155 R. J. Bhansali On a Relationship between the Inverse of a Stationary Covariance Matrix and the Linear Interpolator . . . . . . . . . . 156--170 Jane L. Hutton Non-Negative Time Series Models for Dry River Flow . . . . . . . . . . . . . . . 171--182 Grace L. Yang A Renewal Look at Switching Rules in the MIL-STD-105D Sampling System . . . . . . 183--192 Nader Ebrahimi Ordering of Repairable Systems . . . . . 193--201 Joseph Kupka The Distribution and Moments of the Number of Components of a Random Function . . . . . . . . . . . . . . . . 202--207 Andreas Brandt and Manfred Brandt and Hannelore Sulanke A Representation of a Discrete Distribution by Its Binomial Moments . . 208--214 K. D. Glazebrook Procedures for the Evaluation of Strategies for Resource Allocation in a Stochastic Environment . . . . . . . . . 215--220 B. Dimitrov and Z. Khalil On a New Characterization of the Exponential Distribution Related to a Queueing System with an Unreliable Server . . . . . . . . . . . . . . . . . 221--226 Jacqueline Loris-Teghem On a Decomposition Result for a Class of Vacation Queueing Systems . . . . . . . 227--231 Saeed Ghahramani On Remaining Full Busy Periods of GI/G/c Queues and Their Relation to Stationary Point Processes . . . . . . . . . . . . 232--236 Anonymous Acknowledgement . . . . . . . . . . . . 237--237 Anonymous Correction: On a System of Components with Joint Lifetimes Distributed as a Mixture of Independent Exponential Laws 238--238 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Mark Finkelstein and Howard G. Tucker and Jerry Alan Veeh The Limit Distribution of the Number of Rare Mutants . . . . . . . . . . . . . . 239--250 A. W. Kemp and J. Newton Certain State-Dependent Processes for Dichotomised Parasite Populations . . . 251--258 Peter Matthews Mixing Rates for Brownian Motion in a Convex Polyhedron . . . . . . . . . . . 259--268 Bao Gia Nguyen Percolation of Coalescing Random Walks 269--277 P. K. Pollett A Note on the Classification of $Q$-Processes When $Q$ Is Not Regular 278--290 M. T. Alpuim and E. Athayde On the Stationary Distribution of Some Extremal Markovian Sequences . . . . . . 291--302 Claudine Robert An Entropy Concentration Theorem: Applications in Artificial Intelligence and Descriptive Statistics . . . . . . . 303--313 A. A. Alzaid and M. Al-Osh An Integer-Valued $p$-th-Order Autoregressive Structure (INAR(p)) Process . . . . . . . . . . . . . . . . 314--324 C. H. Sim First-Order Autoregressive Models for Gamma and Exponential Processes . . . . 325--332 E. G. Enns and E. Z. Ferenstein A Competitive Best-Choice Problem with Poisson Arrivals . . . . . . . . . . . . 333--342 M. J. M. Posner and D. Zuckerman Optimal R&D Programs in a Random Environment . . . . . . . . . . . . . . 343--350 Rhonda Righter Stochastically Maximizing the Number of Successes in a Sequential Assignment Problem . . . . . . . . . . . . . . . . 351--364 Bent Natvig On Information-Based Minimal Repair and the Reduction in Remaining System Lifetime Due to the Failure of a Specific Module . . . . . . . . . . . . 365--375 Benjamin Melamed and Ward Whitt On Arrivals That See Time Averages: A Martingale Approach . . . . . . . . . . 376--384 Behnam Pourbabai A Note on a D/G/K Loss System with Retrials . . . . . . . . . . . . . . . . 385--392 Nico M. Van Dijk Queueing Systems with Restricted Workload: An Explicit Solution . . . . . 393--400 Nico M. Van Dijk and Eric Smeitink A Non-Exponential Queueing System with Independent Arrivals and Batch Servicing 401--408 Rhonda Righter and J. George Shanthikumar and Genji Yamazaki On Extremal Service Disciplines in Single-Stage Queueing Systems . . . . . 409--416 Xing Jin and Rongxin Wang On the Speed of Convergence for the Queue Length Process of the GI/G/K System in Heavy Traffic . . . . . . . . 417--424 Hahn-Kyou Rhee and B. D. Sivazlian Distribution of the Busy Period in a Controllable M/M/2 Queue Operating under the Triadic (0,K,N,M) Policy . . . . . . 425--432 Richard Cowan and David Culpin and David Gates Asymptotic Results for a Problem of DNA Breakage . . . . . . . . . . . . . . . . 433--439 J. Muñoz-Perez and A. Sanchez-Gomez Dispersive Ordering by Dilation . . . . 440--444 D. Fakinos On the Relation between Partial Balance and Insensitivity . . . . . . . . . . . 445--451 Ourania Chryssaphinou and Stavros Papastavridis Reliability of a Consecutive-$k$-out-of-$n$ System in a Random Environment . . . . . . . . . . . 452--458 Masaaki Kijima and Naoki Makimoto On Interchangeability for Exponential Single-Server Queues in Tandem . . . . . 459--464 Arie Harel Convexity Results for Single-Server Queues and for Multiserver Queues with Constant Service Times . . . . . . . . . 465--468 Josef Hemker A Note on Sojourn Times in Queuing Networks with Multiserver Nodes . . . . 469--474 Arie Harel On Honest Bernoulli Excursions . . . . . 475--476 R. Cressman and W. G. S. Hines A Note on the Stability of Interior ESSs in a Diploid Population . . . . . . . . 476--477 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Frank Ball and A. D. Barbour Poisson Approximation for Some Epidemic Models . . . . . . . . . . . . . . . . . 479--490 Claude Lef\`evre and György Michaletzky Interparticle Dependence in a Linear Death Process Subjected to a Random Environment . . . . . . . . . . . . . . 491--498 M. P. Quine and J. Robinson A Linear Random Growth Model . . . . . . 499--509 Brigitte Chauvin and Gaston Giroux A Geometric Rate of Convergence to the Equilibrium for Boltzmann Processes with Multiple Particle Interactions . . . . . 510--520 Guy Louchard and Guy Latouche Geometric Bounds on Iterative Approximations for Nearly Completely Decomposable Markov Chains . . . . . . . 521--529 Ioannis I. Gerontidis On Certain Aspects of Non-Homogeneous Markov Systems in Continuous Time . . . 530--544 S. Kalpazidou Asymptotic Behaviour of Sample Weighted Circuits Representing Recurrent Markov Chains . . . . . . . . . . . . . . . . . 545--556 Winfried K. Grassmann and Daniel P. Heyman Equilibrium Distribution of Block-Structured Markov Chains with Repeating Rows . . . . . . . . . . . . . 557--576 A. A. Balkema and L. De Haan A Convergence Rate in Extreme-Value Theory . . . . . . . . . . . . . . . . . 577--585 Suojin Wang Saddlepoint Approximations for Bivariate Distributions . . . . . . . . . . . . . 586--597 F. Thomas Bruss and Colm Art O'Cinneide On the Maximum and Its Uniqueness for Geometric Random Samples . . . . . . . . 598--610 Hans-Jürgen Witte A Unification of Some Approaches to Poisson Approximation . . . . . . . . . 611--621 Sven Berg and Ljuben Mutafchiev Random Mappings with an Attracting Center: Lagrangian Distributions and a Regression Function . . . . . . . . . . 622--636 Richard R. Weber and Gideon Weiss On an Index Policy for Restless Bandits 637--648 Henry W. Block and Naftali A. Langberg and Thomas H. Savits Maintenance Comparisons: Block Policies 649--657 Zhang Hanqin and Hsu Guanghui and Wang Rongxin Strong Approximations for Multiple Channel Queues in Heavy Traffic . . . . 658--670 L. Liu and B. R. K. Kashyap and J. G. C. Templeton On the GI$^X$ /G/$ \infty $ System . . . 671--683 Masakiyo Miyazawa Complementary Generating Functions for the M$^X$ /GI/1/k and GI/M$^Y$ /1/k Queues and Their Application to the Comparison of Loss Probabilities . . . . 684--692 Matthew J. Sobel Throughput Maximization in a Loss Queueing System with Heterogeneous Servers . . . . . . . . . . . . . . . . 693--700 M. Zähle Wicksell's Corpuscle Problem in Spherical Spaces . . . . . . . . . . . . 701--706 Michael L. Wenocur Ornstein--Uhlenbeck Process with Quadratic Killing . . . . . . . . . . . 707--712 Bruno Sericola Closed-Form Solution for the Distribution of the Total Time Spent in a Subset of States of a Homogeneous Markov Process during a Finite Observation Period . . . . . . . . . . . 713--719 Manish C. Bhattacharjee and Jayaram Sethuraman Families of Life Distributions Characterized by Two Moments . . . . . . 720--725 Ka Sing Lau and B. L. S. Prakasa Rao Characterization of the Exponential Distribution by the Relevation Transform 726--729 Joel E. Cohen and Frank P. Kelly A Paradox of Congestion in a Queuing Network . . . . . . . . . . . . . . . . 730--734 Anonymous Correction: Notes on the Stability of Closed Queueing Networks . . . . . . . . 735--735 Anonymous Correction: A Characterization of Gumbel's Bivariate Exponential and Lindley and Singpurwalla's Bivariate Lomax Distributions . . . . . . . . . . 736--736 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
John Haigh Random Polymorphisms and Random Evolutionarily Stable Strategies: A Comparison . . . . . . . . . . . . . . . 737--755 P.-C. G. Vassiliou and A. C. Georgiou and N. Tsantas Control of Asymptotic Variability in Non-Homogeneous Markov Systems . . . . . 756--766 W. S. Kendall A Spatial Markov Property for Nearest-Neighbour Markov Point Processes 767--778 Gerhard Winkler An Ergodic $ L^2 $-Theorem for Simulated Annealing in Bayesian Image Reconstruction . . . . . . . . . . . . . 779--791 Masakiyo Miyazawa and Ronald W. Wolff Further Results on ASTA for General Stationary Processes and Related Problems . . . . . . . . . . . . . . . . 792--804 S. Rachev and P. Todorovic On the Rate of Convergence of Some Functionals of a Stochastic Process . . 805--814 J. M. McNamara and E. J. Collins The Job Search Problem as an Employer-Candidate Game . . . . . . . . 815--827 T. P. Hill and D. P. Kennedy Optimal Stopping Problems with Generalized Objective Functions . . . . 828--838 E. J. Anderson and R. R. Weber The Rendezvous Problem on Discrete Locations . . . . . . . . . . . . . . . 839--851 Susan H. Xu and Pitu B. Mirchandani and Srikanta P. R. Kumar and Richard R. Weber Stochastic Dispatching of Multi-Priority Jobs to Heterogeneous Processors . . . . 852--861 Shmuel Nowik Identifiability Problems in Coherent Systems . . . . . . . . . . . . . . . . 862--872 B. B. Fawzi and A. G. Hawkes Availability of a Series System with Replacement and Repair . . . . . . . . . 873--887 M. Abdel-Hameed and Y. Nakhi Optimal Control of a Finite Dam Using P$_\lambda, \tau^M$ Policies and Penalty Cost: Total Discounted and Long Run Average Cases . . . . . . . . . . . . . 888--898 Hong Chen and David D. Yao Derivatives of the Expected Delay in the GI/G/1 Queue . . . . . . . . . . . . . . 899--907 Frank Ball A Note on the Total Size Distribution of Carrier-Borne Epidemic Models . . . . . 908--912 J. A. C. Resing and G. Hooghiemstra and M. S. Keane The M/G/1 Processor Sharing Queue as the Almost Sure Limit of Feedback Queues . . 913--918 Anonymous Obituary: Peter Franken 1937--1989 . . . 919--923 Anonymous Volume Information . . . . . . . . . . . 924--927 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
J. Gani and Gy. Michaletzky A Carrier-Borne Epidemic with Multiple Stages of Infection . . . . . . . . . . 1--8 John Coffey and Wolfgang J. Bühler The Galton--Watson Predator-Prey Process 9--16 O. V. Seleznjev Limit Theorems for Maxima and Crossings of a Sequence of Gaussian Processes and Approximation of Random Processes . . . 17--32 C. W. Anderson and K. F. Turkman The Joint Limiting Distribution of Sums and Maxima of Stationary Sequences . . . 33--44 Peter A. W. Lewis and Ed McKenzie Minification Processes and Their Transformations . . . . . . . . . . . . 45--57 Ioannis I. Gerontidis Periodic Strong Ergodicity in Non-Homogeneous Markov Systems . . . . . 58--73 G. O. Roberts A Comparison Theorem for Conditioned Markov Processes . . . . . . . . . . . . 74--83 Marcel F. Neuts and Charles E. M. Pearce The Superposition of Independent Discrete Markovian Packet Streams . . . 84--95 Daniel P. Heyman Approximating the Stationary Distribution of an Infinite Stochastic Matrix . . . . . . . . . . . . . . . . . 96--103 S. Kalpazidou On Beurling's Inequality in Terms of Thermal Power . . . . . . . . . . . . . 104--115 Abdulhamid Alzaid and Jee Soo Kim and Frank Proschan Laplace Ordering and Its Applications 116--130 J. George Shanthikumar and David D. Yao Strong Stochastic Convexity: Closure Properties and Applications . . . . . . 131--145 Josep M. Ferrandiz and Aurel A. Lazar Rate Conservation for Stationary Processes . . . . . . . . . . . . . . . 146--158 Nico M. Van Dijk On `Stop = Repeat' Servicing for Non-Exponential Queueing Networks with Blocking . . . . . . . . . . . . . . . . 159--173 C. Blondia Finite Capacity Vacation Models with Non-Renewal Input . . . . . . . . . . . 174--197 Genji Yamazaki and Hirotaka Sakasegawa and J. George Shanthikumar A Conservation Law for Single-Server Queues and Its Applications . . . . . . 198--209 Kazuyoshi Wakuta Optimal Control of an M/G/1 Queue with Imperfectly Observed Queue Length When the Input Source Is Finite . . . . . . . 210--220 M. A. Guerry Monotonicity Property of $t$-Step Maintainable Structures in Three-Grade Manpower Systems: A Counterexample . . . 221--224 David G. Kendall The Mardia--Dryden Shape Distribution for Triangles: A Stochastic Calculus Approach . . . . . . . . . . . . . . . . 225--230 H. Carnal and J. Hüsler On the Convex Hull of $n$ Random Points on a Circle . . . . . . . . . . . . . . 231--237 Genji Yamazaki and Masakiyo Miyazawa The Equality of the Workload and Total Attained Waiting Time in Average . . . . 238--244 Erol Gelenbe and Peter Glynn and Karl Sigman Queues with Negative Arrivals . . . . . 245--250 Anonymous Correction: A Limit Theorem for the Number of Non-Overlapping Occurrences of a Pattern in a Sequence of Independent Trials . . . . . . . . . . . . . . . . . 251--251 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
B. Schmuland A Result on the Infinitely Many Neutral Alleles Diffusion Model . . . . . . . . 253--267 A. I. Zeifman Some Estimates of the Rate of Convergence for Birth and Death Processes . . . . . . . . . . . . . . . 268--277 A. D. Barbour and T. Lindvall and L. C. G. Rogers Stochastic Ordering of Order Statistics 278--286 David J. Aldous and Bert Fristedt and Philip S. Griffin and William E. Pruitt The Number of Extreme Points in the Convex Hull of a Random Sample . . . . . 287--304 Mu-Fa Chen On Three Classical Problems for Markov Chains with Continuous Time Parameters 305--320 Peter Donnelly The Heaps Process, Libraries, and Size-Biased Permutations . . . . . . . . 321--335 R. M. Phatarfod On the Matrix Occurring in a Linear Search Problem . . . . . . . . . . . . . 336--346 Raisa Epstein Feldman Autoregressive Processes and First-Hit Probabilities for Randomized Random Walks . . . . . . . . . . . . . . . . . 347--359 Yasushi Masuda and Ushio Sumita A Multivariate Reward Process Defined on a Semi-Markov Process and Its First-Passage-Time Distributions . . . . 360--373 M. C. Bhattacharjee Some Generalized Variability Orderings among Life Distributions with Reliability Applications . . . . . . . . 374--383 Wolfgang Stadje and Dror Zuckerman Optimal Maintenance Strategies for Repairable Systems with General Degree of Repair . . . . . . . . . . . . . . . 384--396 B. B. Fawzi and Alan G. Hawkes Availability of an $R$-out-of-$N$ System with Spares and Repairs . . . . . . . . 397--408 W. Henderson and P. G. Taylor Some New Results on Queueing Networks with Batch Movement . . . . . . . . . . 409--421 T. Takine and H. Takagi and T. Hasegawa Sojourn Times in Vacation and Polling Systems with Bernoulli Feedback . . . . 422--432 Masakiyo Miyazawa and Genji Yamazaki Convex Ordering of the Attained Waiting Times in Single-Server Queues and Related Problems . . . . . . . . . . . . 433--445 G. Falin and C. Fricker On the Virtual Waiting Time in an M/G/1 Retrial Queue . . . . . . . . . . . . . 446--460 R. N. Pillai Semi-Pareto Processes . . . . . . . . . 461--465 Yoshio Ohtsubo On a Discrete-Time Non-Zero-Sum Dynkin Problem with Monotonicity . . . . . . . 466--472 Jinhua Cao and Yuedong Wang The NBUC and NWUC Classes of Life Distributions . . . . . . . . . . . . . 473--479 Richard H. Stockbridge A Martingale Approach to the Slow Server Problem . . . . . . . . . . . . . . . . 480--486 Anonymous Correction: Monotonicity Property of $t$-Step Maintainable Structures in Three-Grade Manpower Systems: A Counterexample . . . . . . . . . . . . . 487--487 Anonymous Correction: Periodic Strong Ergodicity in Non-Homogeneous Markov Systems . . . 487--487 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
K. Kämmerle The Extinction Probability of Descendants in Bisexual Models of Fixed Population Size . . . . . . . . . . . . 489--502 Masaaki Kijima and E. Seneta Some Results for Quasi-Stationary Distributions of Birth-Death Processes 503--511 Fima C. Klebaner Asymptotic Behavior of Near-Critical Multitype Branching Processes . . . . . 512--519 V. G. Gadag and R. P. Gupta On the Properties of Processes Associated with a Markov Branching Process . . . . . . . . . . . . . . . . 520--528 M. P. Quine A Model for Random Instantaneous Growth on an Interval . . . . . . . . . . . . . 529--538 R. P. C. Rodgers and A. J. Baddeley Nested Monte Carlo Study of Random Packing on the Sphere . . . . . . . . . 539--552 François Baccelli Stochastic Ordering of Random Processes with an Imbedded Point Process . . . . . 553--567 Friedrich Liese and Volker Schmidt Asymptotic Properties of Intensity Estimators for Poisson Shot-Noise Processes . . . . . . . . . . . . . . . 568--583 Meihui Guo and Joseph D. Petruccelli On the Null Recurrence and Transience of a First-Order SETAR Model . . . . . . . 584--592 H. U. Bräker and J. Hüsler On the First Zero of an Empirical Characteristic Function . . . . . . . . 593--601 N. A. Fay and J. C. Walrand On Approximately Optimal Index Strategies for Generalised Arm Problems 602--612 Moshe Shaked and J. George Shanthikumar Dynamic Multivariate Mean Residual Life Functions . . . . . . . . . . . . . . . 613--629 Teunis J. Ott and J. George Shanthikumar On a Buffer Problem for Packetized Voice with an $N$-Periodic Strongly Interchangeable Input Process . . . . . 630--646 Paul Glasserman and Wei-Bo Gong Time-Changing and Truncating $K$-Capacity Queues from One $K$ to Another . . . . . . . . . . . . . . . . 647--655 Erol Gelenbe Product-Form Queueing Networks with Negative and Positive Customers . . . . 656--663 Moshe Haviv Two Sufficient Properties for the Insensitivity of a Class of Queueing Models . . . . . . . . . . . . . . . . . 664--672 Partha P. Bhattacharya and Anthony Ephremides Stochastic Monotonicity Properties of Multiserver Queues with Impatient Customers . . . . . . . . . . . . . . . 673--682 P. Konstantopoulos and F. Baccelli On the Cut-off Phenomenon in Some Queueing Systems . . . . . . . . . . . . 683--694 Philip Hougaard Modelling Heterogeneity in Survival Data 695--701 Michel Schmitt Estimation of the Density in a Stationary Boolean Model . . . . . . . . 702--708 Gopal Chaudhuri and Jayant V. Deshpande and Avinash D. Dharmadhikari Some Bounds on Reliability of Coherent Systems of IFRA Components . . . . . . . 709--714 C. W. Anderson and K. F. Turkman Sums and Maxima in Stationary Sequences 715--716 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Claude Bélisle and Julian Faraway Winding Angle and Maximum Winding Angle of the Two-Dimensional Random Walk . . . 717--726 S. Kalpazidou Invariant Stochastic Properties of a Class of Directed Circuits . . . . . . . 727--736 E. G. Coffman, Jr. and P.-J. Courtois and E. N. Gilbert and Ph. Piret A Distributed Clustering Process . . . . 737--750 A. Kwieci\'nski and R. Szekli Compensator Conditions for Stochastic Ordering of Point Processes . . . . . . 751--761 Ravi Mazumdar and Raghavan Kannurpatti and Catherine Rosenberg On Rate Conservation for Non-Stationary Processes . . . . . . . . . . . . . . . 762--770 Wolfgang Stadje A New Continuous-Time Search Model . . . 771--778 Rajeev Agrawal Minimizing the Learning Loss in Adaptive Control of Markov Chains under the Weak Accessibility Condition . . . . . . . . 779--790 K. D. Glazebrook Bounds for Discounted Stochastic Scheduling Problems . . . . . . . . . . 791--801 Yu-Sheng Zheng A Simple Proof for Optimality of (s, S) Policies in Infinite-Horizon Inventory Systems . . . . . . . . . . . . . . . . 802--810 B. G. Hansen and J. B. G. Frenk Some Monotonicity Properties of the Delayed Renewal Function . . . . . . . . 811--821 Attila Csenki Some Renewal-Theoretic Investigations in the Theory of Sojourn Times in Finite Semi-Markov Processes . . . . . . . . . 822--832 A. D. Solovyev and D. G. Konstant Reliability Estimation of a Complex Renewable System with an Unbounded Number of Repair Units . . . . . . . . . 833--842 Lam Yeh An Optimal Repairable Replacement Model for Deteriorating Systems . . . . . . . 843--851 Rengarajan Srinivasan Stochastic Comparisons of Density Profiles for the Road-Hog Process . . . 852--863 R. D. Foley and Georgia-Ann Klutke and Dieter König Stationary Increments of Accumulation Processes in Queues and Generalized Semi-Markov Schemes . . . . . . . . . . 864--872 Dimitris J. Bertsimas and Julian Keilson and Daisuke Nakazato and Hongtao Zhang Transient and Busy Period Analysis of the GI/G/1 Queue as a Hilbert Factorization Problem . . . . . . . . . 873--885 Richard Cowan Expected Frequencies of DNA Patterns Using Whittle's Formula . . . . . . . . 886--892 Aurel Spataru A Maximum Sequence in a Critical Multitype Branching Process . . . . . . 893--897 Enrique M. Cabaña A Gaussian Process with Parabolic Covariances . . . . . . . . . . . . . . 898--902 R. Gutiérrez Jíamez and A. Juan Gonzalez and P. Román Román Construction of First-Passage-Time Densities for a Diffusion Process Which Is Not Necessarily Time-Homogeneous . . 903--909 D. J. Hartfiel Sequential Limits in Markov Set-Chains 910--913 T. M. Mortimer and David Williams Change of Measure up to a Random Time: Theory . . . . . . . . . . . . . . . . . 914--918 Wansoo Rhee and Michel Talagrand A Note on the Selection of Random Variables under a Sum Constraint . . . . 919--923 Teruhisa Nakai An Optimal Stopping Problem in the Excavation of Archaeological Remains . . 924--929 C. Y. Teresa Lam Joint Simulation of Backward and Forward Recurrence Times in a Superposition of Independent Renewal Processes . . . . . 930--933 Yuping Qiu A Note on Optimal Inspection Policy for Stochastically Deteriorating Series Systems . . . . . . . . . . . . . . . . 934--939 Nader Ebrahimi How to Compare Two Systems . . . . . . . 940--946 K. Van Harn and F. W. Steutel On a Characterization of the Exponential Distribution . . . . . . . . . . . . . . 947--949 P. Brémaud An Elementary Proof of Sengupta's Invariance Relation and a Remark on Miyazawa's Conservation Principle . . . 950--954 Nico M. Van Dijk A Note on Extended Uniformization for Non-Exponential Stochastic Networks . . 955--961 Anonymous Corrections: Asymptotic Behavior of Near-Critical Multitype Branching Processes . . . . . . . . . . . . . . . 962--962 Anonymous Corrections: Spectral Structure of the First-Passage-Time Densities for Classes of Markov Chains . . . . . . . . . . . . 962--962 Anonymous Volume Information . . . . . . . . . . . 963--966 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Gudrun Trieb A Pólya Urn Model and the Coalescent . . 1--10 R. Durrett Stochastic Growth Models: Bounds on Critical Values . . . . . . . . . . . . 11--20 Masaaki Kijima On the Existence of Quasi-Stationary Distributions in Denumerable $R$-Transient Markov Chains . . . . . . 21--36 Richard L. Smith The Extremal Index for a Markov Chain 37--45 Adam D. Helfer and Zhongxin Zhao Gaussian Integrals on Wiener Spaces . . 46--55 Arbind K. Lal and Sagnik Sinha Zero-Sum Two-Person Semi-Markov Games 56--72 Thomas H. Scheike A General Risk Process and Its Properties . . . . . . . . . . . . . . . 73--81 R. P. Littlejohn Discrete Minification Processes and Reversibility . . . . . . . . . . . . . 82--91 Robert S. Maier and Colm Art O'Cinneide A Closure Characterisation of Phase-Type Distributions . . . . . . . . . . . . . 92--103 M. Sun Nested Variational Inequalities and Related Optimal Starting-Stopping Problems . . . . . . . . . . . . . . . . 104--115 C. Y. Teresa Lam New Better than Used in Expectation Processes . . . . . . . . . . . . . . . 116--128 Shey-Huei Sheu Optimal Block Replacement Policies with Multiple Choice at Failure . . . . . . . 129--141 E. R. Canfield and W. P. McCormick Asymptotic Reliability of Consecutive $k$-out-of-$n$ Systems . . . . . . . . . 142--155 Armand M. Makowski and Thomas K. Philips Stochastic Convexity of Sums of I.I.D. Non-Negative Random Variables with Applications . . . . . . . . . . . . . . 156--167 Pantelis Tsoucas Rare Events in Series of Queues . . . . 168--175 Wei-Bo Gong and H. U. The MacLaurin Series for the GI/G/1 Queue . . . . . . . . . . . . . . . . . 176--184 S. N. Ethier Equivalence of Two Descriptions of the Ages of Alleles . . . . . . . . . . . . 185--189 Richard Cowan The Allocation of Offensive and Defensive Resources in a Territorial Game . . . . . . . . . . . . . . . . . . 190--195 Yuan Lin Zhang Some Problems on a One-Dimensional Correlated Random Walk with Various Types of Barrier . . . . . . . . . . . . 196--201 Marc Yor Sur Certaines Fonctionnelles Exponentielles du Mouvement Brownien Réel. (French) [Some functional features of real exponential Brownian motion] . . 202--208 Offer Kella Concavity and Reflected Lévy Processes 209--215 Wilfrid S. Kendall A Remark on the Proof of Itô's Formula for $ C^2 $ Functions of Continuous Semimartingales . . . . . . . . . . . . 216--221 K. F. Turkman and M. F. Oliveira Limit Laws for the Maxima of Chain-Dependent Sequences with Positive Extremal Index . . . . . . . . . . . . . 222--227 Peter Matthews Strong Stationary Times and Eigenvalues 228--233 R. P. Littlejohn An Operation Which Inverts Bernoulli Multiplication and Associated Stationary Reversible Markov Processes . . . . . . 234--238 J. Van Den Berg and A. Gandolfi LRU Is Better than FIFO under the Independent Reference Model . . . . . . 239--243 R. A. Doney and Charles M. Goldie A Simple Comparison Proof . . . . . . . 244--244 Anonymous Acknowledgement . . . . . . . . . . . . 245--245 Anonymous Correction: Asymptotic Behavior of Near-Critical Multitype Branching Processes . . . . . . . . . . . . . . . 246--246 Anonymous Correction: Linear Growth in Near-Critical Population-Size-Dependent Multitype Galton--Watson Processes . . . 246--246 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Philip Holgate Biometric and Chromosome Algebras . . . 247--254 W. T. Ma and G. Vh. Sandri and S. Sarkar Analysis of the Luria--Delbrück Distribution Using Discrete Convolution Powers . . . . . . . . . . . . . . . . . 255--267 Leigh A. Roberts On Ratios of Random Variables and Generalised Mortality Rates . . . . . . 268--279 Paul Joyce and Simon Tavaré A Convergence Theorem for Symmetric Functionals of Random Partitions . . . . 280--290 J. Durbin and D. Williams The First-Passage Density of the Brownian Motion Process to a Curved Boundary . . . . . . . . . . . . . . . . 291--304 W. Katzenbeisser and W. Panny On the Number of Times Where a Simple Random Walk Reaches Its Maximum . . . . 305--312 Paul Glasserman Processes with Associated Increments . . 313--333 A. Milian Transition Probability Density of a Certain Diffusion Process Concentrated on a Finite Spatial Interval . . . . . . 334--342 Felisa J. Vázquez-Abad and Harold J. Kushner Estimation of the Derivative of a Stationary Measure with Respect to a Control Parameter . . . . . . . . . . . 343--352 Peter Hall and Jozef L. Teugels and Ann Vanmarcke The Abscissa of Convergence of the Laplace Transform . . . . . . . . . . . 353--362 Jian Liu and Ed Susko On Strict Stationarity and Ergodicity of a Non-Linear ARMA Model . . . . . . . . 363--373 Sophia Kalpazidou On the Weak Convergence of Sequences of Circuit Processes: A Probabilistic Approach . . . . . . . . . . . . . . . . 374--383 Richard F. Serfozo Applications of the Key Renewal Theorem: Crudely Regenerative Processes . . . . . 384--395 Offer Kella and Ward Whitt Useful Martingales for Stochastic Storage Processes with Lévy Input . . . . 396--403 D. A. Stanford and B. Pagurek On the Serial Correlation for Number in System in the Stationary GI/M/1 Bulk Arrival and GI/E$_m$ /1 Queues . . . . . 404--417 Hideaki Takagi Time-Dependent Process of M/G/1 Vacation Models with Exhaustive Service . . . . . 418--429 Masakiyo Miyazawa On the System Queue Length Distributions of LCFS-P Queues with Arbitrary Acceptance and Restarting Policies . . . 430--440 John Haigh Further Counterexamples to the Monotonicity Property of $t$-Step Maintainable Structures . . . . . . . . 441--447 Thomas H. Scheike A Boundary-Crossing Result for Brownian Motion . . . . . . . . . . . . . . . . . 448--453 Zhou Xian-Yin On the Recurrence of Simple Random Walks on Some Fractals . . . . . . . . . . . . 454--459 Peter J. Haas The Maximum and Mean of a Random Length Sequence . . . . . . . . . . . . . . . . 460--466 Lutz Muche and Dietrich Stoyan Contact and Chord Length Distributions of the Poisson Voronoi Tessellation . . 467--471 Vivek S. Borkar Pathwise Recurrence Orders and Simulated Annealing . . . . . . . . . . . . . . . 472--476 Bong Dae Choi and Kwang Kyu Park The M$^k$ /m/$ \infty $ Queue with Heterogeneous Customers in a Batch . . . 477--481 S. C. Borst and M. B. Combé Busy-Period Analysis of a Correlated Queue . . . . . . . . . . . . . . . . . 482--483 J. Gani and C. C. Heyde On the Retirement of Mavis Hitchcock . . 484--486 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. N. Ethier Eigenstructure of the Infinitely-Many-Neutral-Alleles Diffusion Model . . . . . . . . . . . . 487--498 Ben Hambly On the Limiting Distribution of a Supercritical Branching Process in a Random Environment . . . . . . . . . . . 499--518 P.-C. G. Vassiliou and A. A. Papadopoulou Non-Homogeneous Semi-Markov Systems and Maintainability of the State Sizes . . . 519--534 James G. Booth A Note on a One-Compartment Model with Clustering . . . . . . . . . . . . . . . 535--542 Lajos Takacs On the Total Heights of Random Rooted Trees . . . . . . . . . . . . . . . . . 543--556 Jan Beirlant and Jozef L. Teugels Limit Distributions for Compounded Sums of Extreme Order Statistics . . . . . . 557--574 Mohamed Berred On Record Values and the Exponent of a Distribution with Regularly Varying Upper Tail . . . . . . . . . . . . . . . 575--586 J. A. Bunge and H. N. Nagaraja Dependence Structure of Poisson-Paced Records . . . . . . . . . . . . . . . . 587--596 Wolfgang Schwarz The Wiener Process between a Reflecting and an Absorbing Barrier . . . . . . . . 597--604 J. A. Bather Search Models . . . . . . . . . . . . . 605--615 Michael Frenz and Volker Schmidt An Insensitivity Property of Ladder Height Distributions . . . . . . . . . . 616--624 Jeffrey S. Banks and Rangarajan K. Sundaram A Class of Bandit Problems Yielding Myopic Optimal Strategies . . . . . . . 625--632 K. D. Glazebrook and Michael P. Bailey and Lyn R. Whitaker Cost Rate Heuristics for Semi-Markov Decision Processes . . . . . . . . . . . 633--644 Philip J. Boland and Frank Proschan and Y. L. Tong A Stochastic Ordering of Partial Sums of Independent Random Variables and of Some Random Processes . . . . . . . . . . . . 645--654 Antal Kováts and Tamás F. Móri Ageing Properties of Certain Dependent Geometric Sums . . . . . . . . . . . . . 655--666 Cheng-Shang Chang and Xiuli Chao and Michael Pinedo and Richard Weber On the Optimality of LEPT and $ c \mu $ Rules for Machines in Parallel . . . . . 667--681 V. Anantharam On Fast Simulation of the Time to Saturation of Slotted ALOHA . . . . . . 682--690 S. Chukova and B. Dimitrov On Distributions Having the Almost-Lack-of-Memory Property . . . . . 691--698 Sid Browne and Karl Sigman Work-Modulated Queues with Applications to Storage Processes . . . . . . . . . . 699--712 D. J. Daley and L. D. Servi Exploiting Markov Chains to Infer Queue Length from Transactional Data . . . . . 713--732 K. B. Athreya On Measures of Non-Degeneracy . . . . . 733--739 P. N. Rathie On the Volume Distribution of the Typical Poisson--Delaunay Cell . . . . . 740--744 F. Matús On Equivalence of Markov Properties over Undirected Graphs . . . . . . . . . . . 745--749 Jianliang Zhang and Rakesh Shukla A Note on ``\booktitleThe Statistical Analysis of Direct Repeats in Nucleic Acid Sequences'' . . . . . . . . . . . . 750--752 Anonymous Correction: The NBUC and NWUC Classes of Life Distributions . . . . . . . . . . . 753--753 N. H. Bingham Obituary: G. E. H. Reuter . . . . . . . 754--757 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
R. C. Griffiths Distribution of the Number of Alleles in Multigene Families . . . . . . . . . . . 759--769 Peter Jagers Stabilities and Instabilities in Population Dynamics . . . . . . . . . . 770--780 Masaaki Kijima Evaluation of the Decay Parameter for Some Specialized Birth-Death Processes 781--791 Anyue Chen and Eric Renshaw The Gillis-Domb-Fisher Correlated Random Walk . . . . . . . . . . . . . . . . . . 792--813 Paul Blackwell Convex Hulls of Selected Subsets of a Poisson Process . . . . . . . . . . . . 814--824 E. Kaufmann and R.-D. Reiss Poisson Approximation of Intermediate Empirical Processes . . . . . . . . . . 825--837 Thomas Hanschke Markov Chains and Generalized Continued Fractions . . . . . . . . . . . . . . . 838--849 G. Ch. Pflug and W. Schachermayer Coefficients of Ergodicity for Stochastically Monotone Markov Chains 850--860 Y. H. Wang Approximating $k$-th-Order Two-State Markov Chains . . . . . . . . . . . . . 861--868 A. W. Kemp Steady-State Markov Chain Models for the Heine and Euler Distributions . . . . . 869--876 Noel Cressie and Subhash Lele New Models for Markov Random Fields . . 877--884 Claude J. P. Bélisle Convergence Theorems for a Class of Simulated Annealing Algorithms on $ R^d $ . . . . . . . . . . . . . . . . . . . 885--895 A. J. Lawrance Uniformly Distributed First-Order Autoregressive Time Series Models and Multiplicative Congruential Random Number Generators . . . . . . . . . . . 896--903 William P. McCormick and You Sung Park Asymptotic Analysis of Extremes from Autoregressive Negative Binomial Processes . . . . . . . . . . . . . . . 904--920 Mohsen Pourahmadi Alternating Projections and Interpolation of Stationary Processes 921--931 Moshe Shaked and Haolong Zhu Some Results on Block Replacement Policies and Renewal Theory . . . . . . 932--946 Shey-Huei Sheu and William S. Griffith Multivariate Imperfect Repair . . . . . 947--956 Mark P. Van Oyen and Dimitrios G. Pandelis and Demosthenis Teneketzis Optimality of Index Policies for Stochastic Scheduling with Switching Penalties . . . . . . . . . . . . . . . 957--966 Rhonda Righter and J. George Shanthikumar Extremal Properties of the FIFO Discipline in Queueing Networks . . . . 967--978 Nicholas Bambos On Closed Ring Queueing Networks . . . . 979--995 R. J. Williams Asymptotic Variance Parameters for the Boundary Local Times of Reflected Brownian Motion on a Compact Interval 996--1002 K. A. Sing Lau and B. L. S. Prakasa Rao Characterization of the Exponential Distribution by the Relevation Transform 1003--1004 Maria Antónia Amaral Turkman Obituary: José Tiago de Oliveira . . . . 1005--1005 Anonymous Volume Information . . . . . . . . . . . 1007--1010 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Byron J. T. Morgan Expected Size Distributions in Models of Group Dynamics . . . . . . . . . . . . . 1--16 Aimé Lachal L'intégrale du Mouvement Brownien. (French) [The integral of Brownian motion] . . . . . . . . . . . . . . . . 17--27 S. Kalpazidou On Levy's Theorem concerning Positiveness of Transition Probabilities of Markov Processes: The Circuit Processes Case . . . . . . . . . . . . . 28--39 P. Brémaud A Swiss Army Formula of Palm Calculus 40--51 Qiwei Yao Boundary-Crossing Probabilities of Some Random Fields Related to Likelihood Ratio Tests for Epidemic Alternatives 52--65 A. A. Balkema and L. de Haan and R. L. Karandikar Asymptotic Distribution of the Maximum of $n$ Independent Stochastic Processes 66--81 D. G. Konstant and V. I. Piterbarg Extreme Values of the Cyclostationary Gaussian Random Process . . . . . . . . 82--97 Tamar Gadrich and Robert J. Adler Slepian Models for Non-Stationary Gaussian Processes . . . . . . . . . . . 98--111 Helena Ferreira Joint Exceedances of High Levels under a Local Dependence Condition . . . . . . . 112--120 Wen-Jang Huang and Shun-Hwa Li and Jyh-Cherng Su Some Characterizations of the Poisson Process and Geometric Renewal Process 121--130 T. S. Mountford and S. C. Port Random Splittings of an Interval . . . . 131--152 Martin J. B. Appel and John C. Wierman AB Percolation on Bond-Decorated Graphs 153--166 Brian J. English Factorial Moments for Random Mappings by Means of Indicator Variables . . . . . . 167--174 Edward P. C. Kao and Marion Spokony Smith On Renewal Processes Relating to Counter Models: The Case of Phase-Type Interarrival Times . . . . . . . . . . . 175--183 K. D. Glazebrook On Permutation Policies for the Scheduling of Deteriorating Stochastic Jobs on a Single Machine . . . . . . . . 184--193 Henry W. Block and Naftali A. Langberg and Thomas H. Savits Repair Replacement Policies . . . . . . 194--206 Issei Kino and Masakiyo Miyazawa The Stationary Work in System of a G/G/1 Gradual Input Queue . . . . . . . . . . 207--222 P. D. Sparaggis and D. Towsley and C. G. Cassandras Extremal Properties of the Shortest/Longest Non-Full Queue Policies in Finite-Capacity Systems with State-Dependent Service Rates . . . . . 223--236 B. W. Conolly and Christos Langaris On a New Formula for the Transient State Probabilities for M/M/1 Queues and Computational Implications . . . . . . . 237--246 A. I. Yashin An Extension of the Cameron--Martin Result . . . . . . . . . . . . . . . . . 247--251 Michael Scheutzow A Martingale Approach to the Pasta Property . . . . . . . . . . . . . . . . 252--257 T. S. Mountford A Coupling of Finite Particle Systems 258--262 Richard Cowan A Constraint on the Random Packing of Disks . . . . . . . . . . . . . . . . . 263--268 A. V. Wheelwright and C. A. Glasbey Distances between Censored Intersections between a Square Lattice and a Random Smooth Path . . . . . . . . . . . . . . 269--274 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Peter Donnelly and Thomas Kurtz and Paul Marjoram Correlation and Variability in Birth Processes . . . . . . . . . . . . . . . 275--284 N. Tsantas and P.-C. G. Vassiliou The Non-Homogeneous Markov System in a Stochastic Environment . . . . . . . . . 285--301 Mei-Ling Ting Lee and G. Alex Whitmore Stochastic Processes Directed by Randomized Time . . . . . . . . . . . . 302--314 Jean Diebolt and Dominique Guégan Tail Behaviour of the Stationary Density of General Non-Linear Autoregressive Processes of Order 1 . . . . . . . . . . 315--329 Dale N. Anderson and Barry C. Arnold Linnik Distributions and Processes . . . 330--340 Nader Ebrahimi More Predictable, Less Predictable and Stable Counting Processes . . . . . . . 341--352 Ray Watson and Paul Yip A Bivariate Counting Process . . . . . . 353--364 Sòren Asmussen and Ger Koole Marked Point Processes as Limits of Markovian Arrival Streams . . . . . . . 365--372 Hans-Jürgen Witte Some Characterizations of Exponential or Geometric Distributions in a Non-Stationary Record Value Model . . . 373--381 Hideki Tanemura Behavior of the Supercritical Phase of a Continuum Percolation Model on $ R^d $ 382--396 Suojin Wang Saddlepoint Approximations in Conditional Inference . . . . . . . . . 397--404 O. L. V. Costa Discretizations for the Average Impulse Control of Piecewise Deterministic Processes . . . . . . . . . . . . . . . 405--420 Moshe Shaked and J. George Shanthikumar Dynamic Conditional Marginal Distributions in Reliability Theory . . 421--428 Benjamin Avi-Itzhak and Shlomo Halfin Servers in Tandem with Communication and Manufacturing Blocking . . . . . . . . . 429--437 R. M. Phatarfod The Geometricity of the Limiting Distributions in Queues and Dams . . . . 438--445 T. Takine and H. Takagi and T. Hasegawa Analysis of an M/G/1/K/N Queue . . . . . 446--454 L. Buttell and J. T. Cox and R. Durrett Estimating the Critical Values of Stochastic Growth Models . . . . . . . . 455--461 K. Jayakumar and R. N. Pillai The First-Order Autoregressive Mittag--Leffler Process . . . . . . . . 462--466 C. H. Sim First-Order Autoregressive Logistic Processes . . . . . . . . . . . . . . . 467--470 Mikhail Revyakov Component Allocation for a Distributed System: Reliability Maximization . . . . 471--477 Panayotis D. Sparaggis and Wei-Bo Gong Optimal Buffer Allocation in a Two-Stage Queueing System . . . . . . . . . . . . 478--482 Josef Steinebach and Hanqin Zhang Note on the Strong Limiting Behaviour of Busy Periods in GI/G/1 Queues under Heavy Traffic . . . . . . . . . . . . . 483--488 W. Stadje A New Look at the Moran Dam . . . . . . 489--495 Anonymous Correction: On the Existence of Quasi-Stationary Distributions in Denumerable $R$-Transient Markov Chains 496--496 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Albert W. Marshall and Ingram Olkin Bivariate Life Distributions from Pólya's Urn Model for Contagion . . . . . . . . 497--508 Masaaki Kijima Quasi-Limiting Distributions of Markov Chains That Are Skip-Free to the Left in Continuous Time . . . . . . . . . . . . 509--517 Frank Ball and Geoffrey F. Yeo Lumpability and Marginalisability for Continuous-Time Markov Chains . . . . . 518--528 Frank Ball and Robin K. Milne and Geoffrey F. Yeo On the Exact Distribution of Observed Open Times in Single Ion Channel Models 529--537 C. Chris Wu Critical Behavior of Percolation and Markov Fields on Branching Planes . . . 538--547 Yasushi Masuda Partially Observable Semi-Markov Reward Processes . . . . . . . . . . . . . . . 548--560 Wilfrid S. Kendall On the Empty Cells of Poisson Histograms 561--574 Robert J. Elliott A General Recursive Discrete-Time Filter 575--588 Sid Browne and J. Michael Steele Transient Behavior of Coverage Processes with Applications to the Infinite-Server Queue . . . . . . . . . . . . . . . . . 589--601 R. A. Maller and S. Zhou The Probability That the Largest Observation Is Censored . . . . . . . . 602--615 F. Thomas Bruss and Thomas S. Ferguson Minimizing the Expected Rank with Full Information . . . . . . . . . . . . . . 616--626 M. T. Dixon Equilibrium Points for Three Games Based on the Poisson Process . . . . . . . . . 627--638 Richard M. Feldman and Bryan L. Deuermeyer and Ciriaco Valdez-Flores Utilization of the Method of Linear Matrix Equations to Solve a Quasi-Birth-Death Problem . . . . . . . 639--649 Guy Latouche and V. Ramaswami A Logarithmic Reduction Algorithm for Quasi-Birth-Death Processes . . . . . . 650--674 Henry W. Block and Timothy M. Costigan and Allan R. Sampson Optimal Second-Order Product Probability Bounds . . . . . . . . . . . . . . . . . 675--691 Henry W. Block and Jie Mi and Thomas H. Savits Burn-In and Mixed Populations . . . . . 692--702 Esther Frostig Optimal Policies for Machine Repairmen Problems . . . . . . . . . . . . . . . . 703--715 Xiuli Chao On Klimov's Model with Two Job Classes and Exponential Processing Times . . . . 716--724 Neil O'Connell Yule Process Approximation for the Skeleton of a Branching Process . . . . 725--729 W. Nagel Orientation-Dependent Chord Length Distributions Characterize Convex Polygons . . . . . . . . . . . . . . . . 730--736 Walter Böhm and J. L. Jain and S. G. Mohanty On Zero-Avoiding Transition Probabilities of an $r$-Node Tandem Queue: A Combinatorial Approach . . . . 737--741 Erol Gelenbe $G$-Networks with Triggered Customer Movement . . . . . . . . . . . . . . . . 742--748 Anonymous Correction: Contact and Chord Length Distributions of the Poisson Voronoi Tessellation . . . . . . . . . . . . . . 749--749 Anonymous Correction: Ordering of Repairable Systems . . . . . . . . . . . . . . . . 749--749 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
D. J. Daley and J. Gani A Random Allocation Model for Carrier-Borne Epidemics . . . . . . . . 751--765 Eleanor Feingold Markov Processes for Modeling and Analyzing a New Genetic Mapping Method 766--779 Jeffrey S. Rosenthal Random Walks on Discrete and Continuous Circles . . . . . . . . . . . . . . . . 780--789 Danielle Florens-Zmirou On Estimating the Diffusion Coefficient from Discrete Observations . . . . . . . 790--804 R. A. Doney Some Results Involving the Maximum of Brownian Motion . . . . . . . . . . . . 805--818 Kerry W. Fendick An Asymptotically Exact Decomposition of Coupled Brownian Systems . . . . . . . . 819--834 S. F. L. Gallot Absorption and First-Passage Times for a Compound Poisson Process in a General Upper Boundary . . . . . . . . . . . . . 835--850 L. Chayés and C. Winfield The Density of Interfaces: A New First-Passage Problem . . . . . . . . . 851--862 William P. McCormick and Jiayang Sun Sums and Maxima of Discrete Stationary Processes . . . . . . . . . . . . . . . 863--876 J. Hüsler A Note on Exceedances and Rare Events of Non-Stationary Sequences . . . . . . . . 877--888 E. G. Enns and P. F. Ehlers Notes on Random Chords in Convex Bodies 889--897 Jian-Qiang Hu and Soracha Nananukul and Wei-Bo Gong A New Approach to (s,S) Inventory Systems . . . . . . . . . . . . . . . . 898--912 Robin Antoine and Hani Doss and Myles Hollander On Identifiability in the Autopsy Model of Reliability Theory . . . . . . . . . 913--930 W. Henderson Queueing Networks with Negative Customers and Negative Queue Lengths . . 931--942 P. G. Harrison and E. Pitel Sojourn Times in Single-Server Queues with Negative Customers . . . . . . . . 943--963 Olaf Krafft and Martin Schaefer Mean Passage Times for Tridiagonal Transition Matrices and a Two-Parameter Ehrenfest Urn Model . . . . . . . . . . 964--970 Andrei Duma and Marius Stoka Hitting Probabilities for Random Ellipses and Ellipsoids . . . . . . . . 971--974 M. I. Hendi and A. F. Mashhour and M. A. Montasser Closure of the NBUC Class under Formation of Parallel Systems . . . . . 975--978 Eui Yong Lee and Jiyeon Lee A Model for a System Subject to Random Shocks . . . . . . . . . . . . . . . . . 979--984 Wen-Jang Huang and Jyh-Ming Shoung Some Characterizations of the Exponential and Geometric Distributions Arising in a Queueing System with an Unreliable Server . . . . . . . . . . . 985--990 Anthony G. Pakes Remarks on the Luria--Delbrück Distribution . . . . . . . . . . . . . . 991--994 Anonymous Correction: Semi-Pareto Processes . . . 995--995 Anonymous Volume Information . . . . . . . . . . . 996--999 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
David Gates and Mark Westcott Replacement of Train Wheels: An Application of Dynamic Reversal of a Markov Process . . . . . . . . . . . . . 1--8 Damian Clancy Some Comparison Results for Multitype Epidemic Models . . . . . . . . . . . . 9--21 Daniel Pierre Loti Viaud A Strong Law and a Central Limit Theorem for Controlled Galton--Watson Processes 22--37 D. R. Grey and Lu Zhunwei The Fractional Linear Probability Generating Function in the Random Environment Branching Process . . . . . 38--47 Marcel F. Neuts An Interesting Random Walk on the Non-Negative Integers . . . . . . . . . 48--58 Peter Buchholz Exact and Ordinary Lumpability in Finite Markov Chains . . . . . . . . . . . . . 59--75 R. K. Getoor and M. J. Sharpe On the Arc-Sine Laws for Lévy Processes 76--89 G. O. Roberts and S. D. Jacka Weak Convergence of Conditioned Birth and Death Processes . . . . . . . . . . 90--100 Huiling Le Brownian Motions on Shape and Size-and-Shape Spaces . . . . . . . . . 101--113 Masakiyo Miyazawa Time-Dependent Rate Conservation Laws for a Process Defined with a Stationary Marked Point Process and Their Applications . . . . . . . . . . . . . . 114--129 Richard A. Davis and Sidney I. Resnick Crossings of Max-Stable Processes . . . 130--138 M. Bladt Multivariate Self-Similar Processes: Second-Order Theory . . . . . . . . . . 139--147 Cai Jun Characterizations of Life Distributions by Moments of Extremes and Sample Mean 148--155 Franco Pellerey Shock Models with Underlying Counting Process . . . . . . . . . . . . . . . . 156--166 Jaimie L. Hebert and John W. Seaman, Jr. The Variance of a Truncated Mixed Exponential Process . . . . . . . . . . 167--179 Philip J. Boland and Emad El-Neweihi and Frank Proschan Applications of the Hazard Rate Ordering in Reliability and Order Statistics . . 180--192 Martin J. B. Appel AB Percolation on Plane Triangulations Is Unimodal . . . . . . . . . . . . . . 193--204 K. A. Borovkov On Simulation of Random Vectors with Given Densities in Regions and on Their Boundaries . . . . . . . . . . . . . . . 205--220 Alexander V. Gnedin On a Best-Choice Problem with Dependent Criteria . . . . . . . . . . . . . . . . 221--234 David M. Lucantoni and Marcel F. Neuts Simpler Proofs of Some Properties of the Fundamental Period of the MAP/G/1 Queue 235--243 Claude Lefevre and Philippe Picard Distribution of the Final Extent of a Rumour Process . . . . . . . . . . . . . 244--249 Gregory J. Morrow and Rinaldo B. Schinazi and Yu Zhang The Critical Contact Process on a Homogeneous Tree . . . . . . . . . . . . 250--255 S. R. Adke and C. Chandran Asymptotic Distributions of Extremes of Extremal Markov Sequences . . . . . . . 256--261 Eugene A. Feinberg A Generalization of 'Expectation Equals Reciprocal of Intensity' to Non-Stationary Exponential Distributions 262--267 J. B. Lasserre A New Policy Iteration Scheme for Markov Decision Processes Using Schweitzer's Formula . . . . . . . . . . . . . . . . 268--273 Janos Galambos and Charles Hagwood An Unreliable Server Characterization of the Exponential Distribution . . . . . . 274--279 Tang Dac Cong On the M$^X$ /G/$ \infty $ Queue with Heterogeneous Customers in a Batch . . . 280--286 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
S. Merad and J. M. McNamara Optimal Foraging of a Reproducing Animal as a Discounted Reward Problem . . . . . 287--300 Richard Cowan and S. N. Chiu A Stochastic Model of Fragment Formation When DNA Replicates . . . . . . . . . . 301--308 M. Möhle Forward and Backward Processes in Bisexual Models with Fixed Population Sizes . . . . . . . . . . . . . . . . . 309--332 Thierry Huillet and Andrzej Klopotowski Sur Une Procédure de Branchement Déterministe et ses Dérivees Aléatoires. (French) [On a deterministic branching procedure and its random derivatives] 333--347 George M. Tsaklidis The Evolution of the Attainable Structures of a Homogeneous Markov System with Fixed Size . . . . . . . . . 348--361 D. J. Hartfiel Homogeneous Markov Chains with Bounded Transition Matrix . . . . . . . . . . . 362--372 Harri Nyrhinen Rough Limit Results for Level-Crossing Probabilities . . . . . . . . . . . . . 373--382 Rocco Ballerini Archimedean Copulas, Exchangeability, and Max-Stability . . . . . . . . . . . 383--390 José A. Adell and Jesús De la Cal Approximating Gamma Distributions by Normalized Negative Binomial Distributions . . . . . . . . . . . . . 391--400 F. Papangelou On a Distributional Bound Arising in Autoregressive Model Fitting . . . . . . 401--408 Thomas H. Spencer Generalized Bonferroni Inequalities . . 409--417 Fabrice Guillemin and Ravi Mazumdar The Bene\vs Equations for the Distribution of Excursions for General Storage Processes . . . . . . . . . . . 418--429 Shaler Stidham, Jr. A Sample-Path Approach to Palm Probabilities . . . . . . . . . . . . . 430--437 David Assaf and Ariela Sharlin-Bilitzky Dynamic Search for a Moving Target . . . 438--457 Enrico Fagiuoli and Franco Pellerey Preservation of Certain Classes of Life Distributions under Poisson Shock Models 458--465 Zhen Liu and Don Towsley Optimality of the Round-Robin Routing Policy . . . . . . . . . . . . . . . . . 466--475 Ho Woo Lee and Soon Seok Lee and Jeong Ok Park and K. C. Chae Analysis of the M$^X$ /G/1 Queue with $N$-Policy and Multiple Vacations . . . 476--496 R. Szekli and R. L. Disney and S. Hur MR/GI/1 Queues with Positively Correlated Arrival Stream . . . . . . . 497--514 C. Olivier and J. Walrand On the Existence of Finite-Dimensional Filters for Markov-Modulated Traffic . . 515--525 Robert B. Lund A Dam with Seasonal Input . . . . . . . 526--541 Mats Gyllenberg and Timo Koski and Edwin Reilink and Martin Verlaan Non-Uniqueness in Probabilistic Numerical Identification of Bacteria . . 542--548 Boris L. Granovsky and Liat Rozov On Transient Behaviour of a Nearest-Neighbour Birth-Death Process on a Lattice . . . . . . . . . . . . . . . 549--553 Huaigao Liu On Cowan and Mecke's Markov Chain . . . 554--560 Joanne Kennedy Understanding the Wiener--Hopf Factorization for the Simple Random Walk 561--563 Alan C. Kimber An Application of Random Packing to the Multiple Fracture of Composite Materials 564--569 R. M. Phatarfod On the Transition Probabilities of the Move-to-Front Scheme . . . . . . . . . . 570--574 R. P. Littlejohn A Reversibility Relationship for Two Markovian Time Series Models with Stationary Exponential Tailed Distribution . . . . . . . . . . . . . . 575--581 Tomasz Luczak and Zbigniew Palka On the Clique Number of a Random Overlap Graph . . . . . . . . . . . . . . . . . 582--588 Martin A. Wortman and Georgia-Ann Klutke On Maintained Systems Operating in a Random Environment . . . . . . . . . . . 589--594 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Paul Joyce Likelihood Ratios for the Infinite Alleles Model . . . . . . . . . . . . . 595--605 V. M. Abramov On the Asymptotic Distribution of the Maximum Number of Infectives in Epidemic Models with Immigration . . . . . . . . 606--613 F. C. Klebaner Asymptotic Behaviour of Markov Population Processes with Asymptotically Linear Rate of Change . . . . . . . . . 614--625 James Ledoux and Gerardo Rubino and Bruno Sericola Exact Aggregation of Absorbing Markov Processes Using the Quasi-Stationary Distribution . . . . . . . . . . . . . . 626--634 Guang-Hui Hsu and Xue-Ming Yuan Transient Solutions for Denumerable-State Markov Processes . . . 635--645 James W. Miller A Matrix Equation Approach to Solving Recurrence Relations in Two-Dimensional Random Walks . . . . . . . . . . . . . . 646--659 Ted Sweet Optimizing a Single Uncertain Selection with Recall of Observations . . . . . . 660--672 Ulrich Herkenrath Generalized Adaptive Exponential Smoothing Procedures . . . . . . . . . . 673--690 A. Reza Soltani and R. Moeanaddin On Dispersion of Stable Random Vectors and Its Application in the Prediction of Multivariate Stable Processes . . . . . 691--699 L. De Haan and Sidney Resnick Estimating the Home Range . . . . . . . 700--720 Abdulhamid A. Alzaid and Frank Proschan Max-Infinite Divisibility and Multivariate Total Positivity . . . . . 721--730 Tae Yoon Kim Moment Bounds for Non-Stationary Dependent Sequences . . . . . . . . . . 731--742 Gordon E. Willmot and Xiaodong Lin Lundberg Bounds on the Tails of Compound Distributions . . . . . . . . . . . . . 743--756 Patrik Floréen and Taneli Huuskonen Uniqueness of Maximum Values in Discrete Distributions . . . . . . . . . . . . . 757--764 Takis Konstantopoulos and Spyros N. Papadakis and Jean Walrand Functional Approximation Theorems for Controlled Renewal Processes . . . . . . 765--776 Debasis Sengupta Another Look at the Moment Bounds on Reliability . . . . . . . . . . . . . . 777--787 Cheng-Shang Chang and Rhonda Righter The Optimality of LEPT in Parallel Machine Scheduling . . . . . . . . . . . 788--796 Sòren Asmussen and Reuven Y. Rubinstein and Chia-Li Wang Regenerative Rare Events Simulation via Likelihood Ratios . . . . . . . . . . . 797--815 J. Bertoin and R. A. Doney On the Local Behaviour of Ladder Height Distributions . . . . . . . . . . . . . 816--821 Adrienne W. Kemp Comments on the Luria--Delbrück Distribution . . . . . . . . . . . . . . 822--828 Jean B. Lasserre A Formula for Singular Perturbations of Markov Chains . . . . . . . . . . . . . 829--833 Armand M. Makowski On an Elementary Characterization of the Increasing Convex Ordering, with an Application . . . . . . . . . . . . . . 834--840 Gennadi Falin The M$^k$ /G/$ \infty $ Batch Arrival Queue with Heterogeneous Dependent Demands . . . . . . . . . . . . . . . . 841--846 A. A. Borovkov and R. Schassberger Ergodicity of a Jackson Network with Batch Arrivals . . . . . . . . . . . . . 847--853 Gwo Dong Lin A Note on Distributions Having the Almost-Lack-of-Memory Property . . . . . 854--856 Anonymous Obituary: Edward James Hannan . . . . . 857--866 Anonymous Correction: Sums and Maxima of Discrete Stationary Processes . . . . . . . . . . 867--867 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anyue Chen and Eric Renshaw The General Correlated Random Walk . . . 869--884 L. C. G. Rogers and Z. Shi Computing the Invariant Law of a Fluid Model . . . . . . . . . . . . . . . . . 885--896 P. K. Pollett On the Identification of Continuous-Time Markov Chains with a Given Invariant Measure . . . . . . . . . . . . . . . . 897--910 Servet Martinez and Jaime San Martín Quasi-Stationary Distributions for a Brownian Motion with Drift and Associated Limit Laws . . . . . . . . . 911--920 R. A. Atkinson and Peter Clifford The Escape Probability for Integrated Brownian Motion with Non-Zero Drift . . 921--929 Holger Dette On a Generalization of the Ehrenfest Urn Model . . . . . . . . . . . . . . . . . 930--939 Chris A. J. Klaassen Dixie Cups: Sampling with Replacement from a Finite Population . . . . . . . . 940--948 Markus Roters On the Validity of Wald's Equation . . . 949--957 Sidney I. Resnick and Rishin Roy Super-Extremal Processes and the Argmax Process . . . . . . . . . . . . . . . . 958--978 Jean B. Lasserre Detecting Optimal and Non-Optimal Actions in Average-Cost Markov Decision Processes . . . . . . . . . . . . . . . 979--990 Debasis Sengupta and Jayant V. Deshpande Some Results on the Relative Ageing of Two Life Distributions . . . . . . . . . 991--1003 Harshinder Singh and Neeraj Misra On Redundancy Allocations in Systems . . 1004--1014 Giovanni Parmigiani Inspection Times for Stand-by Units . . 1015--1025 Jie Mi Maximization of a Survival Probability and Its Application . . . . . . . . . . 1026--1033 Kenji Handa and Prasansa Kalukottege and Yukio Ogura A Probabilistic Interpretation of the Degree of Fuzziness . . . . . . . . . . 1034--1048 E. Buffet and N. G. Duffield Exponential Upper Bounds via Martingales for Multiplexers with Markovian Arrivals 1049--1060 Benjamin Avi-Itzhak Servers in Tandem with $k$-Stage Blocking and Communications-Type Flow 1061--1069 Yinghui Tang The Departure Process of the M/G/1 Queueing Model with Server Vacation and Exhaustive Service Discipline . . . . . 1070--1082 Huan Li and Yixin Zhu A New Approach to the G/G/1 Queue with Generalized Setup Time and Exhaustive Service . . . . . . . . . . . . . . . . 1083--1097 Mitchell Kotler Drift Vectors Are Not Sufficient to Determine Recurrence of a Markov Chain on $ Z_+^3 $ . . . . . . . . . . . . . . 1098--1102 Rob J. Hyndman Approximations and Boundary Conditions for Continuous-Time Threshold Autoregressive Processes . . . . . . . . 1103--1109 Yi-Hau Chen Classes of Life Distributions and Renewal Counting Process . . . . . . . . 1110--1115 Karl Sigman and Hermann Thorisson and Ronald W. Wolff A Note on the Existence of Regeneration Times . . . . . . . . . . . . . . . . . 1116--1122 Yuan Lin Zhang A Bivariate Optimal Replacement Policy for a Repairable System . . . . . . . . 1123--1127 Cheng-Shang Chang On the Input-Output Map of a G/G/1 Queue 1128--1133 Jacky Guibert Overflow Probability Upper Bound in Fluid Queues with General on-off Sources 1134--1139 Offer Kella and Michail Sverchkov On Concavity of the Mean Function and Stochastic Ordering for Reflected Processes with Stationary Increments . . 1140--1142 Anonymous Volume Information . . . . . . . . . . . 1143--1147 Anonymous Back Matter . . . . . . . . . . . . . . ?? Anonymous Front Matter . . . . . . . . . . . . . . ??
Anonymous Front Matter . . . . . . . . . . . . . . i-97 J. Galambos and J. Gani Preface . . . . . . . . . . . . . . . . v--v J. Gani and J. Galambos Lajos Takács: An Appreciation . . . . . . xi--xiii Anonymous Publications of Lajos Takácz . . . . . . xv--xxiv Simeon M. Berman Optimal Timing of Antiviral Therapy in HIV Infection . . . . . . . . . . . . . 3--15 J. Gani A Simple Deterministic Epidemic in Several Related Growing Communities . . 17--25 N. H. Bingham The Work of Lajos Takács on Probability Theory . . . . . . . . . . . . . . . . . 29--39 A. De Acosta On Large Deviations of Empirical Measures in the $ \tau $-Topology . . . 41--47 Persi Diaconis and Mehrdad Shahshahani On the Eigenvalues of Random Matrices 49--62 Janos Galambos and Min-Young Lee Further Studies of Bivariate Bonferroni-Type Inequalities . . . . . . 63--69 Gérard Letac Les familles exponentielles statistiques invariantes par les groupes du Cône et du parabolo\"\ide de révolution. (French) [Exponential statistical invariant families groups of Cône and the paraboloid of revolution] . . . . . . . 71--95 U. Narayan Bhat and Richard E. Nance A Queueing Network Analysis of Dynamic Reconfigurability in a Hierarchical Information Network . . . . . . . . . . 99--114 W. Böhm and S. G. Mohanty Transient Analysis of M/M/1 Queues in Discrete Time with General Server Vacations . . . . . . . . . . . . . . . 115--129 Peter W. Glynn and Ward Whitt Logarithmic Asymptotics for Steady-State Tail Probabilities in a Single-Server Queue . . . . . . . . . . . . . . . . . 131--156 J. Keilson and L. D. Servi Networks of Non-Homogeneous M/G/$ \infty $ . . . . . . . . . . . . . . . . . . . 157--168 N. U. Prabhu and L. C. Tang Markov-Modulated Single-Server Queueing Systems . . . . . . . . . . . . . . . . 169--184 Masaaki Sibuya and Norihiko Miyawaki and Ushio Sumita Aspects of Lagrangian Probability Distributions . . . . . . . . . . . . . 185--197 Anonymous Back Matter . . . . . . . . . . . . . . 199--375 Yuan S. Chow On the Moments of Ladder Epochs for Driftless Random Walks . . . . . . . . . 201--205 J. W. Cohen On a Class of Two-Dimensional Nearest-Neighbour Random Walks . . . . . 207--237 Endre Csáki Some Joint Distributions in Bernoulli Excursions . . . . . . . . . . . . . . . 239--250 D. J. Daley and L. D. Servi Approximating Last-Exit Probabilities of a Random Walk, with Application to Conditional Queue Length Moments within Busy Periods of M/GI/1 Queues . . . . . 251--267 Joseph Glaz and Joseph Naus and Ma\lgorzata Roos and Sylvan Wallenstein Poisson Approximations for the Distribution and Moments of Ordered $m$-Spacings . . . . . . . . . . . . . . 271--281 C. C. Heyde A Quasi-Likelihood Approach to Estimating Parameters in Diffusion-Type Processes . . . . . . . . . . . . . . . 283--290 Ronald Pyke Minimax One-Sided Kolmogorov-Type Distribution-Free Tests . . . . . . . . 291--308 Mátyás Arató On the Solution of Kac-Type Partial Differential Equations . . . . . . . . . 311--324 Jewgeni H. Dshalalow On Termination Time Processes . . . . . 325--336 Marcel F. Neuts An Explicit Solution to a Particular Markov Chain of M/G/1 Type . . . . . . . 337--342 András Prékopa Estimation of Cause-Effect Relationship under Noise . . . . . . . . . . . . . . 343--350 Donatas Surgailis and Wojbor A. Woyczynski Burgers' Equation with Non-Local Shot Noise Data . . . . . . . . . . . . . . . 351--362 Ryszard Syski A Simple Increasing Process . . . . . . 363--371 Anonymous Volume Information . . . . . . . . . . . 377--381
Anonymous Back Matter . . . . . . . . . . . . . . 1--3 Ziad Taib Branching Processes and Functional Differential Equations Determining Steady-Size Distributions in Cell Populations . . . . . . . . . . . . . . 1--10 Åke Svensson On the Asymptotic Size and Duration of a Class of Epidemic Models . . . . . . . . 11--24 Servet Martínez and Maria Eulália Vares A Markov Chain Associated with the Minimal Quasi-Stationary Distribution of Birth-Death Chains . . . . . . . . . . . 25--38 Xi-Ren Cao State Aggregation and Discrete-State Markov Chains Embedded in a Class of Point Processes . . . . . . . . . . . . 39--51 Marc Séva On the Local Limit Theorem for Non-Uniformly Ergodic Markov Chains . . 52--62 A. J. Coyle and P. G. Taylor Tight Bounds on the Sensitivity of Generalised Semi-Markov Processes with a Single Generally Distributed Lifetime 63--73 Christian Max Mòller Stochastic Differential Equations for Ruin Probabilities . . . . . . . . . . . 74--89 Ronald Meester Equality of Critical Densities in Continuum Percolation . . . . . . . . . 90--104 Masakiyo Miyazawa Note on Generalizations of Mecke's Formula and Extensions of $ H = \lambda G $ . . . . . . . . . . . . . . . . . . 105--122 Assad Jalali and John Pemberton Mixture Models for Time Series . . . . . 123--138 Sidney Resnick and Catalin Starica Consistency of Hill's Estimator for Dependent Data . . . . . . . . . . . . . 139--167 K. D. Glazebrook and S. Greatrix On Transforming an Index for Generalised Bandit Problems . . . . . . . . . . . . 168--182 Robert M. Burton and Uwe Rösler An $ L_2 $ Convergence Theorem for Random Affine Mappings . . . . . . . . . 183--192 Shui Feng Phase Transitions of Some Non-Linear Stochastic Models . . . . . . . . . . . 193--201 Nader Ebrahimi and Franco Pellerey New Partial Ordering of Survival Functions Based on the Notion of Uncertainty . . . . . . . . . . . . . . 202--211 Lam Yeh An Optimal Inspection-Repair-Replacement Policy for Standby Systems . . . . . . . 212--223 Peter G. Harrison and Edwige Pitel Response Time Distributions in Tandem $G$-Networks . . . . . . . . . . . . . . 224--246 Jingwen Li and Jihong Ou Characterizing the Idle-Period Distribution of GI/G/1 Queues . . . . . 247--255 Soracha Nananukul and Wei-Bo Gong The Mean Waiting Time of a GI/G/1 Queue in Light Traffic via Random Thinning . . 256--266 B. M. Hambly On Constant Tail Behaviour for the Limiting Random Variable in a Supercritical Branching Process . . . . 267--273 John Coffey A Linear Birth-and-Death Predator-Prey Process . . . . . . . . . . . . . . . . 274--277 Anonymous Correction: Overflow Probability Upper Bound in Fluid Queues with General on-off Sources . . . . . . . . . . . . . 278--278 Anonymous Front Matter . . . . . . . . . . . . . . ??