The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors 2010th Edition

The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors 2010th Edition book cover

The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors 2010th Edition

Author(s): Shui Feng (Author)

  • Publisher: Springer
  • Publication Date: 5 Sept. 2012
  • Edition: 2010th
  • Language: English
  • Print length: 232 pages
  • ISBN-10: 3642263798
  • ISBN-13: 9783642263798

Book Description

Presenting a comprehensive study of the Poisson-Dirichlet distribution, this volume emphasizes recent progress in evolutionary dynamics and asymptotic behaviors. The self-contained text presents methods and techniques that appeal to researchers in a wide variety of subjects.

Editorial Reviews

Review

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)

From the Back Cover

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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