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On the stochastic ordering of waiting times for patterns in sequences of random digits
Published online by Cambridge University Press: 14 July 2016
Abstract
Random digits are collected one at a time until a pattern with given digits is obtained. Blom (1982) and others have determined the mean waiting time for such a pattern. It is proved that when a given pattern has larger mean waiting time than another pattern, then the waiting time for the former is stochastically larger than that for the latter. An application is given to a coin-tossing game.
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- Copyright © Applied Probability Trust 1984
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