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Lectures on the Poisson Process (Paperback)
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Lectures on the Poisson Process (Paperback)
Series: Institute of Mathematical Statistics Textbooks
Expected to ship within 12 - 17 working days
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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 stationary 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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