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Point process calculus in time and s...

Bremaud, Pierre.

Point process calculus in time and spacean introduction with applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Point process calculus in time and spaceby Pierre Bremaud.
Reminder of title:	an introduction with applications /
Author:	Bremaud, Pierre.
Published:	Cham :Springer International Publishing :2020.
Description:	xiii, 556 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Point processes.
Online resource:	https://doi.org/10.1007/978-3-030-62753-9
ISBN:	9783030627539$q(electronic bk.)

Point process calculus in time and spacean introduction with applications /
Bremaud, Pierre.

Point process calculus in time and spacean introduction with applications /[electronic resource] :by Pierre Bremaud. - Cham :Springer International Publishing :2020. - xiii, 556 p. :ill., digital ;24 cm. - Probability theory and stochastic modelling,v.982199-3130 ;. - Probability theory and stochastic modelling ;v.70..

Introduction -- Generalities -- Poisson Process on the Line -- Spatial Poisson Processes -- Renewal and Regenerative Processes -- Point Processes with a Stochastic Intensity -- Exvisible Intensity of Finite Point Processes -- Palm Probability on the Line -- Palm Probability in Space -- The Power Spectral Measure -- Information Content of Point Processes -- Point Processes in Queueing -- Hawkes Point Processes -- Appendices -- Bibliography -- Index.

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.

ISBN: 9783030627539$q(electronic bk.)

Standard No.: 10.1007/978-3-030-62753-9doiSubjects--Topical Terms:

182289
Point processes.

LC Class. No.: QA274.42

Dewey Class. No.: 519.23

Point process calculus in time and spacean introduction with applications /
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100 1 $a Bremaud, Pierre. $3 205898
245 1 0 $a Point process calculus in time and space $h [electronic resource] : $b an introduction with applications / $c by Pierre Bremaud.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xiii, 556 p. : $b ill., digital ; $c 24 cm.
490 1 $a Probability theory and stochastic modelling, $x 2199-3130 ; $v v.98
505 0 $a Introduction -- Generalities -- Poisson Process on the Line -- Spatial Poisson Processes -- Renewal and Regenerative Processes -- Point Processes with a Stochastic Intensity -- Exvisible Intensity of Finite Point Processes -- Palm Probability on the Line -- Palm Probability in Space -- The Power Spectral Measure -- Information Content of Point Processes -- Point Processes in Queueing -- Hawkes Point Processes -- Appendices -- Bibliography -- Index.
520 $a 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.
650 0 $a Point processes. $3 182289
650 0 $a Martingales (Mathematics) $3 182691
650 1 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Fourier Analysis. $3 273776
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Probability theory and stochastic modelling ; $v v.70. $3 683306
856 4 0 $u https://doi.org/10.1007/978-3-030-62753-9
950 $a Mathematics and Statistics (SpringerNature-11649)