On Runs in Independent Sequences

author

  • R. T. Smythe
Abstract:

Given an i.i.d. sequence of n letters from a finite alphabet, we consider the length of the longest run of any letter. In the equiprobable case, results for this run turn out to be closely related to the well-known results for the longest run of a given letter. For coin-tossing, tail probabilities are compared for both kinds of runs via Poisson approximation.

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Journal title

volume 2  issue None

pages  43- 52

publication date 2003-03

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