| Issue |
ESAIM: PS
Volume 13, January 2009
|
|
|---|---|---|
| Page(s) | 328 - 342 | |
| DOI | https://doi.org/10.1051/ps:2008009 | |
| 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; mkaraliop@math.uoa.gr; chronis@ath.forthnet.gr
Received:
29
June
2006
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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