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About The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors
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.
Detailed Information
| Author: | Shui Feng (auth.) |
|---|---|
| Publication Year: | 2010 |
| ISBN: | 3642111939 |
| Pages: | 233 |
| Language: | English |
| File Size: | 1.1 |
| Format: | |
| Price: | FREE |
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