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Title: Testing the roulette wheel
Abstract: The roulette wheel in principle generates random numbers uniformly distributed on the set {0,1,2,…,36}. Mechanical imperfections or wilful manipulation can lead to deviations from uniformity in various ways. Gambling houses are interested in statistics that would detect such deviations as soon as possible with the smallest probability of false alarms. The talk will present the design and the logic behind various test statistics and some of the theoretical background. The questions lead to nice illustrations of statistical concepts like sufficiency and sequential methods. At the end we will also present an optimal strategy to take advantage of a biased wheel.