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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Detalhes bibliográficos
Autor principal: Feng, Shui, 1962-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2010.
Colecção:Probability and Its Applications
Acesso em linha:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The Poisson-Dirichlet distribution and related topics, models and asymptotic behaviors, Shui Feng, 2010, Berlin, Springer, 1 vol. (XIII-218 p.), Probability and its applications, 978-3-642-11193-8
• The Poisson-Dirichlet Distribution and Related Topics, Texte imprimé, 9783642112317
• The Poisson-Dirichlet Distribution and Related Topics, Texte imprimé, 9783642263798
• The Poisson-Dirichlet distribution and related topics, models and asymptotic behaviors, Shui Feng, 2010, Berlin, Springer, 1 vol. (XIII-218 p.), Probability and its applications, 978-3-642-11193-8
• The Poisson-Dirichlet Distribution and Related Topics, Texte imprimé, 9783642112317
• The Poisson-Dirichlet Distribution and Related Topics, Texte imprimé, 9783642263798
• The Poisson-Dirichlet distribution and related topics, models and asymptotic behaviors, Shui Feng, 2010, Berlin, Springer, 1 vol. (XIII-218 p.), Probability and its applications, 978-3-642-11193-8
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505 1 |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 
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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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