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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 . Distribution (Probability theory) . Mathematical Biology in General . Mathematics . Probability theory and stochastic processes . Authors: Feng, Shui . Corporate Authors: SpringerLink (Online service) . Series: Probability and Its Applications . Classification: 519.2 . 519.2 (DDC 23) .

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

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