Polya Urn Models (Chapman & Hall/CRC Texts in Statistical Science) - Hardcover

Mahmoud, Hosam

Hardcover

ISBN 10: 1420059831 ISBN 13: 9781420059830

Publisher: Chapman and Hall/CRC, 2008

Synopsis

Incorporating a collection of recent results, Pólya 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 Pólya urns as a basic discrete structure growing in discrete time. The author then embeds the discrete Pólya urn scheme in Poisson processes to achieve an equivalent view in continuous time, provides heuristical arguments to connect the Pólya 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.

About this title

About the Author

Hosam Mahmoud

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2008
• Language: English
• ISBN 10: 1420059831
• ISBN 13: 9781420059830
• Binding: Hardcover
• Edition number: 1
• Number of pages: 306