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How to Gamble If You Must: Inequalities for Stochastic Processes


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Автор: Dubins, Lester E.
Название:  How to Gamble If You Must: Inequalities for Stochastic Processes
Перевод названия: Лестер Дубинс: Вынужденная спекуляция. Неравенства в случайных процессах
ISBN: 9780486780641
Издательство: Dover
Классификация:

ISBN-10: 0486780643
Обложка/Формат: Paperback
Страницы: 304
Вес: 0.36 кг.
Дата издания: 30.05.2014
Серия: Probability & Statistics/Stochastic Processes
Язык: English
Иллюстрации: Illustrations
Размер: 140 x 217 x 15
Читательская аудитория: General (us: trade)
Подзаголовок: Inequalities for stochastic processes
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Поставляется из: США
Описание: This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years research into a dozen concise chapters. Strongly recommended by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research.
Following an introductory chapter, the book formulates the gamblers problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gamblers problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes.


Introduction to Stochastic Processes

Автор: Cinlar, Erhan
Название: Introduction to Stochastic Processes
ISBN: 0486497976 ISBN-13(EAN): 9780486497976
Издательство: Dover
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Цена: 28950.00 T
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Описание: This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines.
Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.


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