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The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors by Shui Feng (Hardcover, 2010)

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Product Information

The Poisson-Dirichlet distribution, a probability on the in?nite-dimensional s- plex, was introduced by Kingman in 1975. Since then it has found applications in Bayesian statistics, combinatorics, number theory, ?nance, macroeconomics, physics and, especially, in population genetics. Several books have appeared that contain sections or chapters on the Poisson-Dirichlet distribution. These include, but are not limited to, Aldous [2], Arratia, Barbour and Tavare[ ' 9], Ewens [67], Kingman [127, 130], and Pitman [155]. This book is the ?rst that focuses solely on the Poisson-Dirichlet distribution and some closely related topics. The purposes of this book are to introduce the Poisson-Dirichlet distribution, to study its connections to stochastic dynamics, and to give an up-to-date account of results concerning its various asymptotic behaviors. The book is divided into two parts. Part I, consisting of Chapters 1-6, includes a variety of models invo- ing the Poisson-Dirichlet distribution, and the central scheme is the uni?cation of the Poisson-Dirichlet distribution, the urn structure, the coalescent, and the evo- tionary dynamics through the grand particle systems of Donnelly and Kurtz. Part II discusses recent progress in the study of asymptotic behaviors of the Poisson- Dirichlet distribution, including ?uctuation theorems and large deviations. The or- inal Poisson-Dirichlet distribution contains one parameter denoted by?. We will also discuss an extension of this to a two-parameter distribution, where an ad- tional parameter? is needed.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642111938
eBay Product ID (ePID)
96311565

Product Key Features

Author
Shui Feng
Publication Name
The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors
Format
Hardcover
Language
English
Subject
Engineering & Technology, Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
218 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
1120g

Additional Product Features

Title_Author
Shui Feng
Series Title
Probability and Its Applications
Country/Region of Manufacture
Germany

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The Poisson-Dirichlet Distribution and Related Topics: Models and Asymptotic Behaviors by Shui Feng (Hardcover, 2010)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Time Management by Peter Quarry (Paperback, 1986)

Silent Spring by Rachel Carson (Paperback, 2000)

Complete Illustrated Encyclopedia of Dinosaurs & Prehistoric Creatures by Dixon Dougal (Paperback, 2014)

Thunder of Hooves: A History of 12 Light Horse Regiment 1915-1919 by Kenneth Hollis (Hardcover, 2008)

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Save on Adult Learning & University

Ford Falcon EF EL / Fairlane NF NL 1994 - 1998 Workshop Manual

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