Bültmann & Gerriets
An Introduction to the Theory of Point Processes
Volume I: Elementary Theory and Methods
von D. Vere-Jones, D. J. Daley
Verlag: Springer New York
Reihe: Probability and Its Applications
Gebundene Ausgabe
ISBN: 978-0-387-95541-4
Auflage: 2nd ed. 2003
Erschienen am 14.11.2002
Sprache: Englisch
Format: 241 mm [H] x 160 mm [B] x 33 mm [T]
Gewicht: 904 Gramm
Umfang: 496 Seiten

Preis: 235,39 €
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Klappentext
Inhaltsverzeichnis

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 theideas 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.



Early History.- Basic Properties of the Poisson Process.- Simple Results for Stationary Point Processes on the Line.- Renewal Processes.- Finite Point Processes.- Models Constructed via Conditioning: Cox, Cluster, and Marked Point Processes.- Conditional Intensities and Likelihoods.- Second-Order Properties of Stationary Point Processes.


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