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Titlebook: Random Measures, Theory and Applications; Olav Kallenberg Book 2017 Springer International Publishing Switzerland 2017 60G57, 60G55.Palm a

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书目名称Random Measures, Theory and Applications
编辑Olav Kallenberg
视频video
概述Presents a comprehensive account of modern random measure theory.Interesting for researchers in pure and applied probability theory.Very broad exposition.Includes supplementary material:
丛书名称Probability Theory and Stochastic Modelling
图书封面Titlebook: Random Measures, Theory and Applications;  Olav Kallenberg Book 2017 Springer International Publishing Switzerland 2017 60G57, 60G55.Palm a
描述.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..
出版日期Book 2017
关键词60G57, 60G55; Palm and Gibbs kernels; compensators; convergence in distribution; point processes; random
版次1
doihttps://doi.org/10.1007/978-3-319-41598-7
isbn_softcover978-3-319-82392-8
isbn_ebook978-3-319-41598-7Series ISSN 2199-3130 Series E-ISSN 2199-3149
issn_series 2199-3130
copyrightSpringer International Publishing Switzerland 2017
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Poisson and Related Processes,Basic processes and uniqueness criteria; Linear Poisson and binomial processes; Independence and infinite divisibility; Poisson and related integrals; Symmetric sequences and processes.
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Stationarity in Euclidean Spaces,Palm measures and cycle stationarity; Inversion and spacing measures; Asymptotic invariance; Averaging and smoothing limits; Palm and spacing averages; Local invariance; Ballot theorems and sojourn laws.
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Group Stationarity and Invariance,Invariant measures and kernels; Invariant representations and Palm kernels; Measure inversion; Duality and mass transport; Invariant disintegration; Stationary densities and disintegration.
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