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Three centuries ago Montmort and De Moivre published two of the first books on probability theory, then called the doctrine of chances, emphasizing its most important application at that time, games of chance. This volume, on the probabilistic aspects of gambling, is a modern version of those classics. While covering the classical material such as house advantage and gambler's ruin, it also takes up such 20th-century topics as martingales, Markov chains, game theory, bold play, and optimal proportional play. In addition there is extensive coverage of specific casino games such as roulette, craps, video poker, baccarat, and twenty-one. The volume addresses researchers and graduate students in probability theory, stochastic processes, game theory, operations research, statistics but it is also accessible to undergraduate students, who have had a course in probability.

Gambling systems. --- Games of chance (Mathematics). --- Games of chance (Mathematics) --- Gambling systems --- Mathematics --- Algebra --- Mathematical Statistics --- Physical Sciences & Mathematics --- Betting systems --- Systems, Gambling --- Gambling problem (Mathematics) --- Mathematics. --- Game theory. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Game Theory, Economics, Social and Behav. Sciences. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Games, Theory of --- Theory of games --- Mathematical models --- Math --- Science --- Probabilities --- Statistics --- Game theory --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions

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Stochastic processes --- Markov processes. --- Markov, Processus de --- Markov processes --- 519.233 --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov

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A four-day conference, "Markov Processes and Related Topics," was held at the University of Wisconsin-Madison July 10-13, 2006, in celebration of Tom Kurtz's 65th birthday and his many contributions to mathematics. Speakers were invited to submit a paper to this collection, and after a lengthy refereeing and editing process, the present "Festschrift" volume has emerged.

Markov processes --- Stochastic processes

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A four-day conference, "Markov Processes and Related Topics," was held at the University of Wisconsin-Madison July 10-13, 2006, in celebration of Tom Kurtz's 65th birthday and his many contributions to mathematics. Speakers were invited to submit a paper to this collection, and after a lengthy refereeing and editing process, the present "Festschrift" volume has emerged.

Markov processes --- Stochastic processes