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Random measures, theory and applications

Kallenberg, Olav.

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Random measures, theory and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Random measures, theory and applications/ by Olav Kallenberg.
Author:	Kallenberg, Olav.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xxviii, 680 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- 1.Spaces, Kernels, and Distribution -- 2.Dissection Limits and Regularity -- 3.Poisson and Related Processes -- 4.Convergence and Approximation -- 5.Stationarity in Euclidean Spaces -- 6.Palm and Related Kernels -- 7.Group Stationarity and Invariance -- 8.Exterior Conditioning -- 9.Compensation and Time Change -- 10.Multiple Integration and Chaos -- 11.Line and Flat Processes -- 12.Regeneration and Local Time -- 13.Branching and Superprocesses -- Appendices -- Historical and Bibliographical Notes -- References -- Indices.
Contained By:	Springer eBooks
Subject:	Random measures. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-41598-7
ISBN:	9783319415987

Random measures, theory and applications
Kallenberg, Olav.

Random measures, theory and applications[electronic resource] /by Olav Kallenberg. - Cham :Springer International Publishing :2017. - xxviii, 680 p. :ill., digital ;24 cm. - Probability theory and stochastic modelling,v.772199-3130 ;. - Probability theory and stochastic modelling ;v.77..

Preface -- 1.Spaces, Kernels, and Distribution -- 2.Dissection Limits and Regularity -- 3.Poisson and Related Processes -- 4.Convergence and Approximation -- 5.Stationarity in Euclidean Spaces -- 6.Palm and Related Kernels -- 7.Group Stationarity and Invariance -- 8.Exterior Conditioning -- 9.Compensation and Time Change -- 10.Multiple Integration and Chaos -- 11.Line and Flat Processes -- 12.Regeneration and Local Time -- 13.Branching and Superprocesses -- Appendices -- Historical and Bibliographical Notes -- References -- Indices.

Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.

ISBN: 9783319415987

Standard No.: 10.1007/978-3-319-41598-7doiSubjects--Topical Terms:

1083919
Random measures.

LC Class. No.: QA274.46

Dewey Class. No.: 519.2

Random measures, theory and applications
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100 1 $a Kallenberg, Olav. $3 648176
245 1 0 $a Random measures, theory and applications $h [electronic resource] / $c by Olav Kallenberg.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xxviii, 680 p. : $b ill., digital ; $c 24 cm.
490 1 $a Probability theory and stochastic modelling, $x 2199-3130 ; $v v.77
505 0 $a Preface -- 1.Spaces, Kernels, and Distribution -- 2.Dissection Limits and Regularity -- 3.Poisson and Related Processes -- 4.Convergence and Approximation -- 5.Stationarity in Euclidean Spaces -- 6.Palm and Related Kernels -- 7.Group Stationarity and Invariance -- 8.Exterior Conditioning -- 9.Compensation and Time Change -- 10.Multiple Integration and Chaos -- 11.Line and Flat Processes -- 12.Regeneration and Local Time -- 13.Branching and Superprocesses -- Appendices -- Historical and Bibliographical Notes -- References -- Indices.
520 $a Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.
650 0 $a Random measures. $3 1083919
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
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950 $a Mathematics and Statistics (Springer-11649)