书目名称 | The Poisson-Dirichlet Distribution and Related Topics | 副标题 | Models and Asymptoti | 编辑 | Shui Feng | 视频video | | 概述 | First book to our knowledge that solely treats the Poisson-Dirichlet distribution.Focuses also on recent progresses in evolutionary dynamics and asymptotic behaviors.Reviewed by international experts. | 丛书名称 | Probability and Its Applications | 图书封面 |  | 描述 | 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. | 出版日期 | Book 2010 | 关键词 | Coalescent; Dirichlet process; Limit theorems; Measure; Poisson process; Poisson-Dirichlet Distribution; P | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-11194-5 | isbn_softcover | 978-3-642-26379-8 | isbn_ebook | 978-3-642-11194-5Series ISSN 1431-7028 | issn_series | 1431-7028 | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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