Probability, Statistics and Analysis

doi:10.1017/CBO9780511662430

This collection of papers is dedicated to David Kendall (Professor of Mathematical Statistics in the University of Cambridge) on the occasion of his 65th birthday. The content of the contributions indicates the breadth of his interests in mathematics and statistics, and the interrelation between mathematical analysis, the theory of probability, and mathematical statistics. The topics will interest postgraduate and research mathematicians.

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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The asymptotic speed and shape of a particle system
pp 1-23
- By D. Aldous, University of California, J. Pitman, University of California
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On doubly stochastic population processes
pp 24-45
- By M.S. Bartlett, Priory Avenue
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On limit theorems for occupation times
pp 46-62
- By N.H. Bingham, Westfield College, J. Hawkes, University College of Swansea
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The Martin boundary of two dimensional Ornstein-Uhlenbeck processes
pp 63-78
- By M. Cranston, University of Rochester, S. Orey, University of Minnesota, U. Rősler, Göttingen, West Germany
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Green's and Dirichlet spaces for a symmetric Markov transition function
pp 79-98
- By E.B. Dynkin, Cornell University
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On a theorem of Kabanov, Liptser and Širjaev
pp 99-111
- By G.K. Eagleson, Lindfield, N.S.W., R.F. Gundy, Rutgers University
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Oxford Commemoration Ball
pp 112-142
- By J.M. Hammersley, Trinity College
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Invariant measures and the q-matrix
pp 143-160
- By F.P. Kelly, University of Cambridge
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The appearance of a multivariate exponential distribution in sojourn times for birth-death and diffusion processes
pp 161-179
- By J.T. Kent, University of Leeds
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Three unsolved problems in discrete Markov theory
pp 180-191
- By J.F.C. Kingman, Mathematical Institute
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The electrostatic capacity of an ellipsoid
pp 192-198
- By P.A.P. Moran, Australian National University
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Stationary one-dimensional Markov random fields with a continuous state space
pp 199-218
- By F. Papangelou, The University, Manchester
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A uniform central limit theorem for partial-sum processes indexed by sets
pp 219-240
- By R. Pyke, University of Washington
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Multidimensional randomness
pp 241-247
- By B.D. Ripley, Queen's Gate, London
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Some properties of a test for multimodality based on kernel density estimates
pp 248-259
- By B.W. Silverman, University of Bath
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Criteria for rates of convergence of Markov chains, with application to queueing and storage theory
pp 260-276
- By R.L. Tweedie, Sydney, NSW
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Competition and bottle-necks
pp 277-284
- By P. Whittle, Statistical Laboratory
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Contributors
pp 285-286
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Probability, Statistics and Analysis

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

The asymptotic speed and shape of a particle system
pp 1-23

On doubly stochastic population processes
pp 24-45

On limit theorems for occupation times
pp 46-62

The Martin boundary of two dimensional Ornstein-Uhlenbeck processes
pp 63-78

Green's and Dirichlet spaces for a symmetric Markov transition function
pp 79-98

On a theorem of Kabanov, Liptser and Širjaev
pp 99-111

Oxford Commemoration Ball
pp 112-142

Invariant measures and the q-matrix
pp 143-160

The appearance of a multivariate exponential distribution in sojourn times for birth-death and diffusion processes
pp 161-179

Three unsolved problems in discrete Markov theory
pp 180-191

The electrostatic capacity of an ellipsoid
pp 192-198

Stationary one-dimensional Markov random fields with a continuous state space
pp 199-218

A uniform central limit theorem for partial-sum processes indexed by sets
pp 219-240

Multidimensional randomness
pp 241-247

Some properties of a test for multimodality based on kernel density estimates
pp 248-259

Criteria for rates of convergence of Markov chains, with application to queueing and storage theory
pp 260-276

Competition and bottle-necks
pp 277-284

Contributors
pp 285-286

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Probability, Statistics and Analysis

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