An Introduction to the Theory of Point Processes
By: by D. J. Daley, D. Vere-Jones
Contributors: Vere-Jones, D.
Series: Springer Series in Statistics; Springer series in statistics
Publisher: Springer New York
Published: 1998
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 702
ISBN-13: 9781475720037; 9781475720013
Subjects: Statistics
Description: Stochastic point processes are sets of randomly located points in time, on the plane or in some general space. This book provides a general introduction to the theory, starting with simple examples and an historical overview, and proceeding to the general theory. It thoroughly covers recent work in a broad historical perspective in an attempt to provide a wider audience with insights into recent theoretical developments. It contains numerous examples and exercises. This book aims to bridge the gap between informal treatments concerned with applications and highly abstract theoretical treatments.
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Table of contents: title: Contents: Early History; title: Basic Properties of the Poisson Process; title: Simple Results for Stationary Point Processes on the Line; title: Renewal Processes; title: Finite Point Processes; title: Introduction to the General Theory of Random Measures; title: Introduction to the General Theory of Point Processes; title: Cluster Processes, Infinitely Divisible Processes, and Doubly Stochastic Processes; title: Convergence Concepts and Limit Theorems; title: Stationary Point Processes and Random Measures; title: Spectral Theory; title: Palm Theory; title: Conditional Intensities and Likelihoods; title: Exterior Conditioning; title: Appendix I-III; title: References and Author Index; title: Subject Index.