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Random Measures, Theory and Applications / by Olav Kallenberg
(Probability Theory and Stochastic Modelling. ISSN:21993149 ; 77)

Edition 1st ed. 2017.
Publisher (Cham : Springer International Publishing : Imprint: Springer)
Year 2017
Size XXVIII, 680 p : online resource
Authors *Kallenberg, Olav author
SpringerLink (Online service)
Subjects LCSH:Probabilities
FREE:Probability Theory
Notes 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
HTTP:URL=https://doi.org/10.1007/978-3-319-41598-7
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E-Book オンライン 電子ブック

Springer eBooks 9783319415987
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EB00206969

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Material Type E-Book
Classification LCC:QA273.A1-274.9
DC23:519.2
ID 4000115055
ISBN 9783319415987

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