An Introduction to the Theory of Point ProcessesVolume II: General Theory and Structure
Series: Probability and its Applications
Volume package An Introduction to the Theory of Point Processes
Daley, D.J., Vere-Jones, D.

Originally published in one volume in the series: Springer Series in Statistics
2nd ed., 2008, XVIII, 566 p., Hardcover
ISBN: 978-0-387-21337-8


About this book

• Fully updated and reworked new edition of 1988 classic text
• Hugely applicable material is useful in lots of areas including telecommunications, image analysis, and stereology
• Abundant examples both reinforce core understanding and illustrate further applications of the models
• Volume One incorporates introductory material from the First Edition with a foretaste of more advanced concepts
• Volume Two builds on general theory with additional material on marked and spatial processes

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 An Introduction to the Theory of Point Processes in two volumes with subtitles Volume I: Elementary Theory and Methods and Volume II: General Theory and Structure.
Volume I contains the introductory chapters from the first edition together with an account of basic models, second order theory, and an informal account of prediction, with the aim of making the material accessible to readers primarily interested in models and applications. It also has three appendices that review the mathematical background needed mainly in Volume II.
Volume II sets out the basic theory of random measures and point processes in a unified setting and continues with the more theoretical topics of the first edition: limit theorems, ergodic theory, Palm theory, and evolutionary behaviour via martingales and conditional intensity. The very substantial new material in this second volume includes expanded discussions of marked point processes, convergence to equilibrium, and the structure of spatial point processes.
D.J. Daley is recently retired from 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 coauthor with Joe Gani of an introductory text on epidemic modelling. The Statistical Society of Australia awarded him their Pitman Medal for 2006.
D. Vere-Jones is an Emeritus Professor at Victoria University of Wellington, widely known for his contributions to Markov chains, point processes, applications in seismology, and statistical education. He is a fellow and Gold Medallist of the Royal Society of New Zealand, and a director of the consulting group Statistical Research Associates.


Written for:
Graduate students, researchers