The Poisson-Dirichlet distribution and related topics: models and asymptotic behaviors

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 populationgenetics. 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. First book to our knowledge that solely treats the Poisson-Dirichlet distribution. Focuses also on recent progresses in evolutionary dynamics and asymptotic behaviors.

• ISBN: 978-3-642-11193-8
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 216
• Fecha Publicación: 01/07/2010
• Nº Volúmenes: 1
• Idioma: Inglés