Probability, Statistics and Analysis de J. F. C. Kingman

Probability, Statistics and Analysis: London Mathematical Society Lecture Note Series, cartea 79

J. F. C. Kingman

G. E. H. Reuter

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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Cuprins

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.