Catálogo bibliográfico FCT/UNL
Feng, Shui
The Poisson-Dirichlet distribution and related topics : models and asymptotic behaviors [Documento electrónico] / Shui Feng. - Berlin, Heidelberg : Springer Berlin Heidelberg , 2010 . - XIV, 218 p.. - (Probability and Its Applications) 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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ISBN 978-3-642-11194-5

Processos de Poisson


LCC QA273.6
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