| 書目名稱 | The Poisson-Dirichlet Distribution and Related Topics | | 副標題 | Models and Asymptoti | | 編輯 | Shui Feng | | 視頻video | http://file.papertrans.cn/917/916693/916693.mp4 | | 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. | | 叢書名稱 | Probability and Its Applications | | 圖書封面 |  | | 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 | | 關鍵詞 | 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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