Incorporating a collection of recent results, Polya Urn Models
deals with discrete probability through the modern and evolving urn
theory and its numerous applications.
The book first substantiates the realization of distributions
with urn arguments and introduces several modern tools, including
exchangeability and stochastic processes via urns. It reviews
classical probability problems and presents dichromatic Polya urns
as a basic discrete structure growing in discrete time. The author
then embeds the discrete Polya urn scheme in Poisson processes to
achieve an equivalent view in continuous time, provides heuristical
arguments to connect the Polya process to the discrete urn scheme,
and explores extensions and generalizations. He also discusses how
functional equations for moment generating functions can be
obtained and solved. The final chapters cover applications of urns
to computer science and bioscience.
Examining how urns can help conceptualize discrete probability
principles, this book provides information pertinent to the
modeling of dynamically evolving systems where particles come and
go according to governing rules.
General
Imprint: |
Chapman & Hall/CRC
|
Country of origin: |
United States |
Series: |
Chapman & Hall/CRC Texts in Statistical Science |
Release date: |
June 2008 |
First published: |
June 2008 |
Authors: |
Hosam Mahmoud
|
Dimensions: |
234 x 156 x 23mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
312 |
ISBN-13: |
978-1-4200-5983-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
1-4200-5983-1 |
Barcode: |
9781420059830 |
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