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Feng, Shui.
The Poisson-Dirichlet Distribution and Related Topics Models and Asymptotic Behaviors / [electronic resource] : by Shui Feng. - XII, 218p. online resource. - Probability and its Applications, 1431-7028 .
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.
9783642111945
Mathematics.
Biology--Mathematics.
Distribution (Probability theory).
Mathematics.
Probability Theory and Stochastic Processes.
Mathematical Biology in General.
QA273.A1-274.9 QA274-274.9
519.2
The Poisson-Dirichlet Distribution and Related Topics Models and Asymptotic Behaviors / [electronic resource] : by Shui Feng. - XII, 218p. online resource. - Probability and its Applications, 1431-7028 .
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.
9783642111945
Mathematics.
Biology--Mathematics.
Distribution (Probability theory).
Mathematics.
Probability Theory and Stochastic Processes.
Mathematical Biology in General.
QA273.A1-274.9 QA274-274.9
519.2