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＜電子ブック＞
The Poisson-Dirichlet Distribution and Related Topics : Models and Asymptotic Behaviors / by Shui Feng
(Probability and Its Applications)

版	1st ed. 2010.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XIV, 218 p : online resource
著者標目	*Feng, Shui author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical models LCSH:Biomathematics FREE:Probability Theory FREE:Mathematical Modeling and Industrial Mathematics FREE:Mathematical and Computational Biology
一般注記	Models -- The Poisson–Dirichlet Distribution -- The Two-Parameter Poisson–Dirichlet Distribution -- The Coalescent -- Stochastic Dynamics -- Particle Representation -- Asymptotic Behaviors -- Fluctuation Theorems -- Large Deviations for the Poisson–Dirichlet Distribution -- Large Deviations for the Dirichlet Processes The Poisson-Dirichlet distribution is an infinite dimensional probability distribution. It was introduced by Kingman over thirty years ago, and has found applications in a broad range of areas including Bayesian statistics, combinatorics, differential geometry, economics, number theory, physics, and population genetics. This monograph provides a comprehensive study of this distribution and some related topics, with particular emphasis on recent progresses in evolutionary dynamics and asymptotic behaviors. One central scheme is the unification of the Poisson-Dirichlet distribution, the urn structure, the coalescent, the evolutionary dynamics through the grand particle system of Donnelly and Kurtz. It is largely self-contained. The methods and techniques used in it appeal to researchers in a wide variety of subjects HTTP:URL=https://doi.org/10.1007/978-3-642-11194-5

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