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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Feng, Shui (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Probability and Its Applications
Temas:
Acceso en línea:Texto Completo

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245 1 4 |a The Poisson-Dirichlet Distribution and Related Topics  |h [electronic resource] :  |b Models and Asymptotic Behaviors /  |c by Shui Feng. 
250 |a 1st ed. 2010. 
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300 |a XIV, 218 p.  |b online resource. 
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490 1 |a Probability and Its Applications 
505 0 |a Models -- The Poisson-Dirichlet Distribution -- The Two-Parameter Poisson-Dirichlet Distribution -- The Coalescent -- Stochastic Dynamics -- Particle Representation -- Asymptotic Behaviors -- Fluctuation Theorems -- Large Deviations for the Poisson-Dirichlet Distribution -- Large Deviations for the Dirichlet Processes. 
520 |a 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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