A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials

A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials

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Article ID: iaor1988713
Country: Israel
Volume: 25
Issue: 2
Start Page Number: 428
End Page Number: 431
Publication Date: Jun 1988
Journal: Journal of Applied Probability
Authors: ,
Abstract:

A sequence of independent experiments is performed, each producing a letter from a given alphabet. Using a result by Barbour and Eagleson the authors prove that under general conditions the number of non-overlapping occurrences of long recurrent patterns has approximately a Poisson distribution.

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