國立高雄大學圖資館 |

Language: English

Back

Random measures, theory and applications

Kallenberg, Olav.

Random measures, theory and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Random measures, theory and applicationsby Olav Kallenberg.
Author:	Kallenberg, Olav.
Published:	Cham :Springer International Publishing :2017.
Description:	xxviii, 680 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Random measures.
Online resource:	http://dx.doi.org/10.1007/978-3-319-41598-7
ISBN:	9783319415987$q(electronic bk.)

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.70..

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$q(electronic bk.)

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

509951
Random measures.

LC Class. No.: QA274.46

Dewey Class. No.: 519.2

Random measures, theory and applications
LDR:02303nmm a2200337 a 4500 001 512178
003 DE-He213
005 20170412111134.0
006 m d
007 cr nn 008maaau
008 171226s2017 gw s 0 eng d
020 $a 9783319415987$q(electronic bk.)
020 $a 9783319415963$q(paper)
024 7 $a 10.1007/978-3-319-41598-7 $2 doi
035 $a 978-3-319-41598-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.46
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.2 $2 23
090 $a QA274.46 $b .K14 2017
100 1 $a Kallenberg, Olav. $3 186300
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 509951
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Probability theory and stochastic modelling ; $v v.70. $3 683306
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-41598-7
950 $a Mathematics and Statistics (Springer-11649)