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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 3, Pages 510–520 (Mi tvp2586)  
This article is cited in 22 scientific papers (total in 22 papers)

On the length of the longest head-run for the Markov chain with two states

S. S. Samarova

Moscow
Full-text PDF (510 kB) Citations (22)
Abstract: In the article the asymptotic formula for the lenght of the longest head-run in the trajectory of a Markov chain with two states is obtained. The main theorem is the amplification and generalization (on the Markov chain) of the results proved by P. Erdös and P. Révész for the sequence of independent identically distributed random variables $\xi_i$ with
$$ \mathbf P\{\xi_i=1\}=\mathbf P\{\xi_i=0\}=1/2. $$
Received: 10.05.1978
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 3, Pages 498–509
DOI: https://doi.org/10.1137/1126056
Bibliographic databases:
Language: Russian
Citation: S. S. Samarova, “On the length of the longest head-run for the Markov chain with two states”, Teor. Veroyatnost. i Primenen., 26:3 (1981), 510–520; Theory Probab. Appl., 26:3 (1982), 498–509
Citation in format AMSBIB
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\by S.~S.~Samarova
\paper On the length of the longest head-run for the Markov chain with two states
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 3
\pages 510--520
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=627858}
\zmath{https://zbmath.org/?q=an:0487.60061|0466.60065}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 3
\pages 498--509
\crossref{https://doi.org/10.1137/1126056}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981PA76400005}
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  • https://www.mathnet.ru/eng/tvp/v26/i3/p510
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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