Point Process Calculus in Time and Space - An Introduction with Applications (Hardcover, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Probability Theory and Stochastic Modelling, 98
Release date:	December 2020
First published:	2020
Authors:	Pierre Bremaud
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	556
Edition:	1st ed. 2020
ISBN-13:	978-3-03-062752-2
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Promotions
LSN:	3-03-062752-7
Barcode:	9783030627522

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