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The Poisson-dirichlet Distribution and Related Topics

Un libro in lingua di Shui Feng edito da Springer Verlag, 2010

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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.

Informazioni bibliografiche

  • Titolo del Libro in lingua: The Poisson-dirichlet Distribution and Related Topics
  • Sottotitolo: Models and Asymptotic Behaviors
  • Lingua: English
  • AutoreShui Feng
  • Editore: Springer Verlag
  • Collana: Springer Verlag (Hardcover)
  • Data di Pubblicazione: 30 Luglio '10
  • Genere: MATHEMATICS
  • ISBN-10: 3642111939
  • EAN-13: 9783642111938