Probability, Statistics and Analysis

This collection of papers is dedicated to David Kendall, the topics will interest postgraduate and research mathematicians.

J. F. C. Kingman (Edited by), G. E. H. Reuter (Edited by)

9780521285902, Cambridge University Press

Paperback, published 10 February 1983

296 pages
22.8 x 15.2 x 1.6 cm, 0.425 kg

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.

1. The asymptotic speed and shape of a particle system D. Aldous and J. Pitman
2. On doubly stochastic population processes M. S. Bartlett
3. On limit theorems for occupation times N. H. Bingham and J. Hawkes
4. The Martin boundary of two dimensional Ornstein-Uhlenbeck processes M. Cranston, S. Orey and U. Rösler
5. Green's and Dirichlet spaces for a symmetric Markov transition function E. B. Dynkin
6. On a theorem of Kabanov, Liptser and Sirjaev G. K. Eagleson and R. F. Gundy
7. Oxford Commemoration Ball J. M. Hammersley
8. Invariant measures and the q-matrix F. P. Kelly
9. The appearance of a multivariate exponential distribution in sojourn times for birth-death and diffusion processes J. T. Kent
10. Three unsolved problems in discrete Markov theory J. F. C. Kingman
11. The electrostatic capacity of an ellipsoid P. A. P. Moran
12. Stationary one-dimensional Markov random fields with a continuous state space F. Papangelou
13. A uniform central limit theorem for partial-sum processes indexed by sets R. Pyke
14. Multidimensional randomness B. D. Ripley
15. Some properties of a test for multimodality based on kernel density estimates B. W. Silverman
16. Criteria for rates of convergence of Markov chains, with application to queueing and storage theory R. L. Tweedie
17. Competition and bottle-necks P. Whittle.

Subject Areas: Probability & statistics [PBT]