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Siobhan's Problem: The Coupon Collector Revisited

Brian Dawkins
The American Statistician
Vol. 45, No. 1 (Feb., 1991), pp. 76-82
DOI: 10.2307/2685247
Stable URL: http://www.jstor.org/stable/2685247
Page Count: 7
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Siobhan's Problem: The Coupon Collector Revisited
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Abstract

This article considers from an empirical point of view the convergence of the distribution function for the waiting time in the classical coupon collector's problem. In addition, the application of the distribution in testing for "randomness" in the decimal expansions of π and e is considered. Some remarks are also made on the inverse problems: namely, given i distinct object sobtained in sampling at random with replacement m times from some population, how many distinct objects are there in the population?

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