Volume 13, January 2009
|Page(s)||328 - 342|
|Published online||21 July 2009|
On the number of word occurrences in a semi-Markov sequence of letters
University of Athens,
Department of Mathematics,
157 84 Athens, Greece; email@example.com; firstname.lastname@example.org
Revised: 27 September 2007
Revised: 6 March 2008
Let a finite alphabet Ω. We consider a sequence of letters from Ω generated by a discrete time semi-Markov process We derive the probability of a word occurrence in the sequence. We also obtain results for the mean and variance of the number of overlapping occurrences of a word in a finite discrete time semi-Markov sequence of letters under certain conditions.
Mathematics Subject Classification: 60K10 / 60K20 / 60C05 / 60E05
Key words: Discrete time semi-Markov / number of word occurrences
© EDP Sciences, SMAI, 2009
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