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The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors
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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
The Poisson-Dirichlet Distribution and Related Topics ([Ebook]) : Models and Asymptotic Behaviors / by Shui Feng.
Author
Feng, Shui
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2010.
Physical Details
XII, 218 pages : online resource.
Series
Probability and Its Applications
1431-7028
ISBN
9783642111945
Summary Note
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.:
Contents note
Preface -- Part I: Models -- 1. Introduction -- 2. The Poisson-Dirichlet Distribution -- 3. The Two-Parameter Poisson-Dirichlet Distribution -- 4. The Coalescent -- 5. Stochastic Dynamics -- 6. Particle Representation -- Part II: Asymptotic Behaviors -- 7. Fluctuation Theorems -- 8. Large Deviations for the Poisson-Dirichlet Distribution -- 9. Large Deviations for the Dirichlet Processes -- A. Poisson Process and Poisson Random Measure -- A.1. Definitions -- A.2. Properties -- B. Basics of Large Deviations -- References -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-11194-5
Links to Related Works
Subject References:
Biology
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Distribution (Probability theory)
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Mathematical Biology in General
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Mathematics
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Probability theory and stochastic processes
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Authors:
Feng, Shui
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Corporate Authors:
SpringerLink (Online service)
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Series:
Probability and Its Applications
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Classification:
519.2
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519.2 (DDC 23)
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