Polya Urn Models (Texts in Statistical Science) - Hardcover

Mahmoud, Hosam M.

Hardcover

ISBN 10: 1420059831 ISBN 13: 9781420059830

Verlag: CRC Press / Chapman & Hall, 2008

Inhaltsangabe

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.

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Hosam Mahmoud

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Polya Urn Models presents a complete introduction to the terminology of urns and urn models, which refer to a system of one or more containers with objects of various types. The book begins with a summary of basic issues in discrete probability that forms the foundations of probability from an urn viewpoint. With exercises, examples, and historical notes, it covers classical probability problems connected to and presented within the framework of urns, the Polya urn model, and variations in real time. The book also explores recent developments in the field as well as a broad range of applications in bioscience and computer science, in particular, data structures, algorithms, and Internet growth.

Details zur Ausgabe

• Verlag: CRC Press / Chapman & Hall
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 1420059831
• ISBN 13: 9781420059830
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 290
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland