Polya Urn Models

Name: Polya Urn Models
Brand: Taylor & Francis Ltd
Price: 91.75 AUD
Availability: BackOrder

By: Hosam Mahmoud

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Paperback | 21 January 2023 | Edition Number 1

At a Glance

Paperback
306 Pages

Dimensions(cm)
23.4 x 15.6 x 2.1

Paperback

RRP $103.00

$91.75

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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.

Industry Reviews

"Polya Urn Models describes the established theory and details numerous new developments since the seminal 1977 text Urn Models and Their Application: An Approach to Modern Discrete Probability Theory by Johnson and Kotz. ... the second half of Mahmoud's book largely covers new advances since Johnson and Kotz's book ... This latter material makes the current text unique. ... The end-of-chapter exercises (of greatly varying difficulty) have excellent in-depth solutions at the end of the text. ... The book is exceptionally well written, concise, and compelling. The author obviously commands this material, and his enthusiasm is unmistakable."
-Matthew Bognar, Journal of the American Statistical Association, September 2014, Vol. 109

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