ENGLISH

The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors

By Shui Feng (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642111939, 9783642111938
DOI
10.1007/978-3-642-11194-5
LCC
QA273.6 .F46 2010
Open Library ID
OL25220018M
Language
english
Format
PDF
Filesize
1 MB (1160329 bytes)
Series
Probability and Its Applications
Edition
1
Pages
218\233
Orientation
yes
Scanned
yes
Time added
2010-06-26 00:49:36
Probability Theory and Stochastic Processes; Mathe

Description

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.

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