ENGLISH

Point Process Calculus in Time and Space

By Pierre Bremaud

Book information

Publisher
Springer
Year
2020
ISBN
9783030627522, 9783030627539
Language
english
Format
PDF
Filesize
3 MB (3365054 bytes)
Series
Probability Theory and Stochastic Modelling 98
Edition
1
Pages
556\562
Time added
2020-12-05 15:15:46
Branching ProcessPalm ProbabilityPoint ProcessPoisson ProcessQueueing TheoryRenewal ProcessSpectral Measure

Description

This book provides an introduction to the theory and applications of point processes, both in time and in space. Presenting the two components of point process calculus, the martingale calculus and the Palm calculus, it aims to develop the computational skills needed for the study of stochastic models involving point processes, providing enough of the general theory for the reader to reach a technical level sufficient for most applications. Classical and not-so-classical models are examined in detail, including Poisson–Cox, renewal, cluster and branching (Kerstan–Hawkes) point processes.The applications covered in this text (queueing, information theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic interest but also because they illustrate the theory. Written in a rigorous but not overly abstract style, the book will be accessible to earnest beginners with a basic training in probability but will also interest upper graduate students and experienced researchers.

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