The Poisson-Dirichlet Distribution and Related Topics [electronic resource] :Models and Asymptotic Behaviors / by Shui Feng.
by Feng, Shui [author.]; SpringerLink (Online service).
Material type:
BookSeries: Probability and its Applications: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.Description: XII, 218p. online resource.ISBN: 9783642111945.Subject(s): Mathematics | Biology -- Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic Processes | Mathematical Biology in GeneralDDC classification: 519.2 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| QA274-274.9 (Browse shelf) | Available | ||||
| Long Loan | MAIN LIBRARY | QA273.A1-274.9 (Browse shelf) | Available |
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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.
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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