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Diskretnaya Matematika, 2004, Volume 16, Issue 3, Pages 43–62
DOI: https://doi.org/10.4213/dm162 (Mi dm162) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Joint distribution of the number of ones and the number of 1-runs in binary Markov sequences

L. Ja. Savel'ev, S. V. Balakin
Full-text PDF (1326 kB) Citations (10)
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DOI: https://doi.org/10.4213/dm162
Abstract: We describe the distributions of the number of ones, the number of runs of ones in a binary Markov sequence and their joint distribution. We find the generating functions of the distributions under consideration, calculate the means, variances and covariances. For these moments we give explicit and asymptotic formulas with estimates of accuracy. Formulas for the Gaussian approximations are also derived. We consider the corresponding operator equations. In this connection we describe a special model of random walks.
This research was supported by the Russian Foundation for Basic Research, grant 02–01–0946.
Received: 12.10.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 4, Pages 353–372
DOI: https://doi.org/10.1515/1569392041938802
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. Ja. Savel'ev, S. V. Balakin, “Joint distribution of the number of ones and the number of 1-runs in binary Markov sequences”, Diskr. Mat., 16:3 (2004), 43–62; Discrete Math. Appl., 14:4 (2004), 353–372
Citation in format AMSBIB
\Bibitem{SavBal04}
\by L.~Ja.~Savel'ev, S.~V.~Balakin
\paper Joint distribution of the number of ones and the number of 1-runs in binary Markov sequences
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 3
\pages 43--62
\mathnet{http://mi.mathnet.ru/dm162}
\crossref{https://doi.org/10.4213/dm162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2109796}
\zmath{https://zbmath.org/?q=an:1103.60302}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 4
\pages 353--372
\crossref{https://doi.org/10.1515/1569392041938802}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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