Description: The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationery point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels.
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EAN: 9781107088016
UPC: 9781107088016
ISBN: 9781107088016
MPN: N/A
Item Length: 24.3 cm
Number of Pages: 310 Pages
Language: English
Publication Name: Lectures on the Poisson Process
Publisher: Cambridge University Press
Publication Year: 2017
Subject: Mathematics
Item Height: 236 mm
Item Weight: 560 g
Type: Textbook
Author: Mathew Penrose, Gunter Last
Item Width: 158 mm
Format: Hardcover
