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

Published online by Cambridge University Press:  14 July 2016

O. Chryssaphinou  and
S. Papastavridis
O. Chryssaphinou*
Affiliation:
University of Athens
S. Papastavridis*
Affiliation:
University of Patras
*
∗Postal address: Department of Mathematics, University of Athens, Panepistemiopolis, 15710 Athens, Greece.
∗∗Postal address: Applied Mathematics Division, University of Patras, 26110 Patras, Greece.
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Abstract

A sequence of independent experiments is performed, each producing a letter from a given alphabet. Using a result by Barbour and Eagleson (1984) we prove that under general conditions the number of non-overlapping occurrences of long recurrent patterns has approximately a Poisson distribution.

Keywords

RECURRENT PATTERNSPOISSON DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 25 , Issue 2 , June 1988 , pp. 428 - 431
Copyright
Copyright © Applied Probability Trust 1988 

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