The Poisson-Dirichlet Distribution and Related Topics
Models and Asymptotic Behaviors
Buch in deiner Nähe kaufen
Beschreibung
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.
First book to our knowledge that solely treats the Poisson-Dirichlet distribution Focuses also on recent progresses in evolutionary dynamics and asymptotic behaviors Reviewed by international experts Includes supplementary material: sn.pub/extras
Autor*in
Shui Feng
Themen in »The Poisson-Dirichlet Distribution and Related Topics«
Coalescent Dirichlet process Limit theorems Measure Poisson process Poisson-Dirichlet Distribution Population Genetics Probability and stochastic processes Probability distribution random measure
Stimmen zu »The Poisson-Dirichlet Distribution and Related Topics«
From the reviews:
“The intended audience of this book includes researchers and graduate students in probability, population genetics and statistics. Most material in the book is self-contained and should be accessible to anyone with a graduate level knowledge of probability theory. … this book provides useful connections to mathematical population genetics and many advanced probabilistic applications.” (Wenbo V. Li, Mathematical Reviews, Issue 2012 c)()