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An Introduction to the Theory of Point Processes

  • Textbook
  • © 1998

Overview

Authors:
  1. D. J. Daley

    1. Department of Statistics Institute for Advanced Study, Australian National University, Canberra, Australia

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    You can also search for this author in PubMed   Google Scholar

  2. D. Vere-Jones

    1. Department of Statistics, Victoria University, Wellington, New Zealand

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Springer Series in Statistics (SSS)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Early History

    • D. J. Daley, D. Vere-Jones
    Pages 1-17

  3. Basic Properties of the Poisson Process

    • D. J. Daley, D. Vere-Jones
    Pages 18-37

  4. Simple Results for Stationary Point Processes on the Line

    • D. J. Daley, D. Vere-Jones
    Pages 38-62

  5. Renewal Processes

    • D. J. Daley, D. Vere-Jones
    Pages 63-108

  6. Finite Point Processes

    • D. J. Daley, D. Vere-Jones
    Pages 109-152

  7. Introduction to the General Theory of Random Measures

    • D. J. Daley, D. Vere-Jones
    Pages 153-196

  8. Introduction to the General Theory of Point Processes

    • D. J. Daley, D. Vere-Jones
    Pages 197-233

  9. Cluster Processes, Infinitely Divisible Processes, and Doubly Stochastic Processes

    • D. J. Daley, D. Vere-Jones
    Pages 234-268

  10. Convergence Concepts and Limit Theorems

    • D. J. Daley, D. Vere-Jones
    Pages 269-315

  11. Stationary Point Processes and Random Measures

    • D. J. Daley, D. Vere-Jones
    Pages 316-398

  12. Spectral Theory

    • D. J. Daley, D. Vere-Jones
    Pages 399-451

  13. Palm Theory

    • D. J. Daley, D. Vere-Jones
    Pages 452-494

  14. Conditional Intensities and Likelihoods

    • D. J. Daley, D. Vere-Jones
    Pages 495-572

  15. Exterior Conditioning

    • D. J. Daley, D. Vere-Jones
    Pages 573-591

  16. Back Matter

    Pages 592-702
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Statistics Institute for Advanced Study, Australian National University, Canberra, Australia

    D. J. Daley

  • Department of Statistics, Victoria University, Wellington, New Zealand

    D. Vere-Jones

Bibliographic Information

  • Book Title: An Introduction to the Theory of Point Processes

  • Authors: D. J. Daley, D. Vere-Jones

  • Series Title: Springer Series in Statistics

  • DOI: https://doi.org/10.1007/978-1-4757-2001-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • eBook ISBN: 978-1-4757-2001-3Published: 14 March 2013

  • Series ISSN: 0172-7397

  • Series E-ISSN: 2197-568X

  • Edition Number: 1

  • Number of Pages: XXI, 702

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes

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