Probability and Its Applications

The Poisson-Dirichlet Distribution and Related Topics

Models and Asymptotic Behaviors

Authors: Feng, Shui

  • One of the first books to focus solely on the Poisson-Dirichlet distribution
  • Discusses recent progress in evolutionary dynamics and asymptotic behaviors
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eBook $69.99
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  • ISBN 978-3-642-11194-5
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Hardcover $99.00
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Softcover $99.00
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  • ISBN 978-3-642-26379-8
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About this book

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.

About the authors

Shui Feng is a Professor of Mathematics and Statistics at McMaster University, Canada. His research is in the broad area of stochastic processes and limit theorems, with particular interests in stochastic models in population genetics, finance, and statistical physics. He is the co-editor of one book and the author of more than 30 research papers.

Reviews

From the reviews:

“The intended audience of this book includes researchers and graduate students in probability, population genetics and statistics. Most material in the book is self-contained and should be accessible to anyone with a graduate level knowledge of probability theory. … this book provides useful connections to mathematical population genetics and many advanced probabilistic applications.” (Wenbo V. Li, Mathematical Reviews, Issue 2012 c)

Table of contents (9 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-11194-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-642-11193-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-3-642-26379-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Poisson-Dirichlet Distribution and Related Topics
Book Subtitle
Models and Asymptotic Behaviors
Authors
Series Title
Probability and Its Applications
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-11194-5
DOI
10.1007/978-3-642-11194-5
Hardcover ISBN
978-3-642-11193-8
Softcover ISBN
978-3-642-26379-8
Series ISSN
1431-7028
Edition Number
1
Number of Pages
XIV, 218
Topics