Feng, Shui. <br/><br/>
The Poisson-Dirichlet Distribution and Related Topics  Models and Asymptotic Behaviors /  [electronic resource] : 
by Shui Feng. 
 - XIV, 218 p.  online resource. 
 - Probability and its Applications,  1431-7028 .
 - Probability and its Applications, .
<br/><br/>Models -- The PoissonDirichlet Distribution -- The Two-Parameter PoissonDirichlet Distribution -- The Coalescent -- Stochastic Dynamics -- Particle Representation -- Asymptotic Behaviors -- Fluctuation Theorems -- Large Deviations for the PoissonDirichlet Distribution -- Large Deviations for the Dirichlet Processes. 
<br/><br/>ZDB-2-SMA 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783642111945 
<br/><br/><label>Standard No.: </label>10.1007/978-3-642-11194-5  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics.<br/>Biology--Mathematics.<br/>Distribution (Probability theory).<br/>Mathematics.<br/>Probability Theory and Stochastic Processes.<br/>Mathematical Biology in General.
<br/><br/><label>LC Class. No.: </label>QA273.A1-274.9 QA274-274.9 
<br/><br/><label>Dewey Class. No.: </label>519.2