Hosam Mahmoud

Polya Urn Models (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Incorporating a collection of recent results, Polya Urn Models deals with discrete probability through the modern and evolving urn theory and its numerous applications. It looks at how some classical problems of discrete probability have roots in urn models. The book covers the Polya-Eggenberger, Bernard Friedman's, the Bagchi-Pal, and the Ehrenfest urns. It also explains the processes of poissonization and depoissonization and presents applications to random trees, evolution, competitive exclusion, epidemiology, clinical trials, and random circuits. The text includes end-of-chapter exercises that range from easy to challenging, along with solutions in the back of the book.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 30. Juni 2008
• Englisch
• ISBN-13: 9781040079652
• Artikelnr.: 72518963

Autorenporträt

Hosam Mahmoud

Inhaltsangabe

Urn Models and Rudiments of Discrete Probability. Some Classical Urn
Problems.Pólya Urn Models.Poissonization. The Depoissonization Heuristic.
Urn Schemes with Random Replacement.Analytic Urns.Applications of Pólya
Urns in Informatics.Urn Schemes in Bioscience.Urns Evolving by Multiple
Drawing. Answers to Exercises. Notation. Bibliographic Notes. Bibliography.
Index.

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Urn Models and Rudiments of Discrete Probability. Some Classical Urn Problems.Pólya Urn Models.Poissonization. The Depoissonization Heuristic. Urn Schemes with Random Replacement.Analytic Urns.Applications of Pólya Urns in Informatics.Urn Schemes in Bioscience.Urns Evolving by Multiple Drawing. Answers to Exercises. Notation. Bibliographic Notes. Bibliography. Index.

Rezensionen

"Pólya 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