{"product_id":"polya-urn-models-9781032477794","title":"Polya Urn Models","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIncorporating a collection of recent results, \u003cb\u003ePólya Urn Models\u003c\/b\u003e deals with discrete probability through the modern and evolving urn theory and its numerous applications. \u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003eExamining how urns can help conceptualize discrete probability \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\"\u003cb\u003ePólya Urn Models\u003c\/b\u003e describes the established theory and details numerous new developments since the seminal 1977 text \u003ci\u003eUrn Models and Their Application: An Approach to Modern Discrete Probability Theory\u003c\/i\u003e 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.\"\u003cbr\u003e—Matthew Bognar, \u003cem\u003eJournal of the American Statistical Association\u003c\/em\u003e, September 2014, Vol. 109\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eUrn 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.","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":51019077550423,"sku":"9781032477794","price":43.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781032477794.jpg?v=1750779229","url":"https:\/\/bookcurl.com\/products\/polya-urn-models-9781032477794","provider":"Book Curl","version":"1.0","type":"link"}