The Poisson-Dirichlet Distribution and Related Topics [recurso electrónico] : Models and Asymptotic Behaviors / by Shui Feng.
Tipo de material:
TextoSeries Probability and its ApplicationsEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XII, 218p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642111945Tema(s): Mathematics | Biology -- Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic Processes | Mathematical Biology in GeneralFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 519.2 Clasificación LoC:QA273.A1-274.9QA274-274.9Recursos en línea: Libro electrónico
| Tipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
|---|---|---|---|---|---|---|---|
| Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA273 .A1-274.9 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 373960-2001 |
Navegando Biblioteca Electrónica Estantes, Código de colección: Colección de Libros Electrónicos Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
| QA273 .A1-274.9 Probability Inequalities | QA273 .A1-274.9 Option Prices as Probabilities | QA273 .A1-274.9 Stochastic Differential Equations | QA273 .A1-274.9 The Poisson-Dirichlet Distribution and Related Topics | QA273 .A1-274.9 Constructive Computation in Stochastic Models with Applications | QA273 .A1-274.9 Quantitative Sociodynamics | QA273 .A1-274.9 Numerical Solution of Stochastic Differential Equations with Jumps in Finance |
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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