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Diskretnaya Matematika, 1999, Volume 11, Issue 1, Pages 29–52
DOI: https://doi.org/10.4213/dm367 (Mi dm367) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The maximum run length in generalized Bernoulli sequences

L. Ja. Savel'ev
Full-text PDF (1692 kB) Citations (5)
DOI: https://doi.org/10.4213/dm367
Abstract: We study the distribution of the maximum length of runs of chosen types in some sequence of independent identically distributed random variables. Exact and asymptotic formulas for the distribution function of this maximum are obtained. The problem on the number of words with restrictions on the run lengths, which was considered earlier, is solved for the case of runs of several chosen types.
The research was supported by the Russian Foundation for Basic Research, grant 96–01–01496.
Received: 04.08.1998
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. Ja. Savel'ev, “The maximum run length in generalized Bernoulli sequences”, Diskr. Mat., 11:1 (1999), 29–52; Discrete Math. Appl., 9:1 (1999), 25–51
Citation in format AMSBIB
\Bibitem{Sav99}
\by L.~Ja.~Savel'ev
\paper The maximum run length in generalized Bernoulli sequences
\jour Diskr. Mat.
\yr 1999
\vol 11
\issue 1
\pages 29--52
\mathnet{http://mi.mathnet.ru/dm367}
\crossref{https://doi.org/10.4213/dm367}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702932}
\zmath{https://zbmath.org/?q=an:0971.60019}
\transl
\jour Discrete Math. Appl.
\yr 1999
\vol 9
\issue 1
\pages 25--51
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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