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

Shui Feng
Publisher: 
Springer
Publication Date: 
2010
Number of Pages: 
218
Format: 
Hardcover
Series: 
Probability and Its Applications
Price: 
99.00
ISBN: 
9783642111938
Category: 
Monograph
We do not plan to review this book.

Preface.- Part I: Models.- 1. Introduction.- 2. The Poisson–Dirichlet Distribution.- 3. The Two-Parameter Poisson–Dirichlet Distribution.- 4. The Coalescent.- 5. Stochastic Dynamics.- 6. Particle Representation.- Part II: Asymptotic Behaviors.- 7. Fluctuation Theorems.- 8. Large Deviations for the Poisson–Dirichlet Distribution.- 9. Large Deviations for the Dirichlet Processes.- A. Poisson Process and Poisson Random Measure.- A.1. Definitions.- A.2. Properties.- B. Basics of Large Deviations.- References.- Index.

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