TY  - BOOK
AU  - Feng,Shui
ED  - SpringerLink (Online service)
TI  - The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors 
T2  - Probability and its Applications,
SN  - 9783642111945
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2010///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Biology
KW  - Distribution (Probability theory)
KW  - Probability Theory and Stochastic Processes
KW  - Mathematical Biology in General
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-11194-5
ER  -