Books in the Oxford Studies in Probability series

The modern theories of reliability and insurance are based on the assumption that the occurence of rare events is governed by Poisson processes. This volume provides an introduction to the Stein-Chen method, which makes it possible to assess how much error is introduced by the assumption.

This monograph provides and explains the probability theory of geometric graphs. Applications of the theory include communications networks, classification, spatial statistics, epidemiology, astrophysics and neural networks.

Limit theorems and probability inequalities for sums of independent random variables are beneficial to those studying probability and statistics. This treatise presents a clear exposition of classical and modern results in the field.

Random scattering of points occur in many different applications. The Poisson process is a flexible and usable model for such phenomena which is often neglected. This book details the wide applicability of Poisson processes in one or more dimensions.

This book has its origin in the need of developing and analysing mathematical models for phenomena that evolve in time and influence each another, and aims at a better understanding of the structure and asymptotic behaviour of stochastic processes.