The Poisson-dirichlet Distribution and Related Topics - 9783642111938
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
- Autore: Shui Feng
- Editore: Springer Verlag
- Collana: Springer Verlag (Hardcover)
- Data di Pubblicazione: 30 Luglio '10
- Genere: MATHEMATICS
- ISBN-10: 3642111939
- EAN-13: 9783642111938