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Diskretnaya Matematika, 2003, Volume 15, Issue 1, Pages 50–76
DOI: https://doi.org/10.4213/dm185 (Mi dm185) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Covering runs in binary Markov sequences

L. Ja. Savel'ev, S. V. Balakin, B. V. Khromov
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DOI: https://doi.org/10.4213/dm185
Abstract: We describe distributions of the lengths of initial, covering, and final runs in binary Markov sequences. For the means and variances, we give exact and asymptotic formulas. We also give the generating functions. We observe that in Markov sequences the probabilities of run lengths do not necessarily decrease as the lengths grow, and hence, the corresponding distributions may be of quite complex form. We investigate conditions under which, due to the Markov property, the probabilities increase as the run lengths do. We consider operator equations which include final runs.
This research was supported by the Russian Foundation for Basic Research, grant 02–01–00946.
Received: 17.11.2002
English version:
Discrete Mathematics and Applications, 2003, Volume 13, Issue 2, Pages 111–138
DOI: https://doi.org/10.1515/156939203322109104
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. Ja. Savel'ev, S. V. Balakin, B. V. Khromov, “Covering runs in binary Markov sequences”, Diskr. Mat., 15:1 (2003), 50–76; Discrete Math. Appl., 13:2 (2003), 111–138
Citation in format AMSBIB
\Bibitem{SavBalKhr03}
\by L.~Ja.~Savel'ev, S.~V.~Balakin, B.~V.~Khromov
\paper Covering runs in binary Markov sequences
\jour Diskr. Mat.
\yr 2003
\vol 15
\issue 1
\pages 50--76
\mathnet{http://mi.mathnet.ru/dm185}
\crossref{https://doi.org/10.4213/dm185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1996745}
\zmath{https://zbmath.org/?q=an:1045.60075}
\transl
\jour Discrete Math. Appl.
\yr 2003
\vol 13
\issue 2
\pages 111--138
\crossref{https://doi.org/10.1515/156939203322109104}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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