Inequalities for Stochastic Processes: How to Gamble If You Must

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9780486632834: Inequalities for Stochastic Processes: How to Gamble If You Must
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Addressed to research mathematicians and graduate students, this book uses the concepts of gambling to develop stimulating new ideas in probability theory. Intriguing and thoroughly rewarding, this book will repay the study of every serious reader. The authors are well-known in mathematical circles. In this book the authors have distilled the essence of many years' research into twelve clear, concise chapters. Following an introduction and summary of the problem in Chapter1, Chapter 2presents a formulation of the abstract gambler's problem and Chapter 3 discusses the existence and properties of strategies for gambling. Chapter 4, 5, and 6 explore the properties associated with a particular type of gambling house (called a casino with fixed goals), the game of red-and-black and the application of results in more generalized casinos Chapters 7 and 8 deal with properties of various general types of gambling houses, while Chapter 9, 10, and 11 deal with certain measures of subfamilies and with strategies where superfair of fair gambles are involved. Chapter 12 relates the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes.

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Dubins, Lester E., Savage, Leonard J.
Published by Dover Publications (1976)
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Dubins, Lester E., Savage, Leonard J.
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Lester E. Dubins, Leonard J. Savage
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