The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors (Probability and Its Applications) - Tapa dura

Libro 23 de 35: Probability and Its Applications

Feng, Shui

 
9783642111938: The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors (Probability and Its Applications)

Sinopsis

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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Acerca del autor

Shui Feng is a Professor of Mathematics and Statistics at McMaster University, Canada. His research is in the broad area of stochastic processes and limit theorems, with particular interests in stochastic models in population genetics, finance, and statistical physics. He is the co-editor of one book and the author of more than 30 research papers.

De la contraportada

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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Otras ediciones populares con el mismo título

9783642263798: The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors (Probability and Its Applications)

Edición Destacada

ISBN 10:  3642263798 ISBN 13:  9783642263798
Editorial: Springer, 2012
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