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...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
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Berlin, Heidelberg :
Springer Berlin Heidelberg
2010.
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| Colección: | Probability and its Applications.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32924628*spi |
| Sumario: | 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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| Descripción Física: | XIV, 218 p. |
| Formato: | Forma de acceso: World Wide Web. |
| ISBN: | 9783642111945 |
