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.
Hosam Mahmoud
"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
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