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An Introduction to the Theory of Point Processes

Volume I: Elementary Theory and Methods

  • D. J. Daley
  • D. Vere-Jones

Part of the Probability and its Applications book series (PIA)

About this book

Introduction

Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles "Elementary Theory and Models" and "General Theory and Structure".
Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.
Volume Two returns to the general theory, with additional material on marked and spatial processes. The necessary mathematical background is reviewed in appendices located in Volume One. Daryl Daley is a Senior Fellow in the Centre for Mathematics and Applications at the Australian National University, with research publications in a diverse range of applied probability models and their analysis; he is co-author with Joe Gani of an introductory text in epidemic modelling. David Vere-Jones is an Emeritus Professor at Victoria University of Wellington, widely known for his contributions to Markov chains, point processes, applications in seismology.

Keywords

Likelihood Markov chain Poisson process point process random measure

Authors and affiliations

  • D. J. Daley
    • 1
  • D. Vere-Jones
    • 2
  1. 1.Centre for Mathematics and its Applications Mathematical Sciences InstituteAustralian National UniversityCanberraAustralia
  2. 2.School of Mathematical and Computing SciencesVictoria University of WellingtonWellingtonNew Zealand

Bibliographic information

  • DOI https://doi.org/10.1007/b97277
  • Copyright Information Applied Probability Trust 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95541-4
  • Online ISBN 978-0-387-21564-8
  • Series Print ISSN 1431-7028
  • Buy this book on publisher's site