The Poisson-Dirichlet Distribution and Related Topics Models and Asymptotic Behaviors /

• Main Author: Feng, Shui (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Probability and its Applications,
• Subjects: Mathematics.; Mathematical models.; Probabilities.; Biomathematics.; Probability Theory and Stochastic Processes.; Mathematical Modeling and Industrial Mathematics.; Mathematical and Computational Biology.

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...

Table of Contents:

• 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.