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Diskretnaya Matematika, 1999, Volume 11, Issue 4, Pages 3–26
DOI: https://doi.org/10.4213/dm403
(Mi dm403)
 

This article is cited in 5 scientific papers (total in 5 papers)

Random correspondences, binary matrices, and series

L. Ja. Savel'ev
Abstract: We consider some problems on random correspondences related to runs in random sequences. We find the generating functions for the joint distributions of some characteristics of runs in binary Markov sequences and sequences of independent random variables. We solve the operator equations describing the distributions under consideration.
The research was supported by the Russian Foundation for Basic Research, grant 99–01–00540.
Received: 28.08.1999
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. Ja. Savel'ev, “Random correspondences, binary matrices, and series”, Diskr. Mat., 11:4 (1999), 3–26; Discrete Math. Appl., 9:5 (1999), 447–472
Citation in format AMSBIB
\Bibitem{Sav99}
\by L.~Ja.~Savel'ev
\paper Random correspondences, binary matrices, and series
\jour Diskr. Mat.
\yr 1999
\vol 11
\issue 4
\pages 3--26
\mathnet{http://mi.mathnet.ru/dm403}
\crossref{https://doi.org/10.4213/dm403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1761008}
\zmath{https://zbmath.org/?q=an:0984.60081}
\transl
\jour Discrete Math. Appl.
\yr 1999
\vol 9
\issue 5
\pages 447--472
Linking options:
  • https://www.mathnet.ru/eng/dm403
  • https://doi.org/10.4213/dm403
  • https://www.mathnet.ru/eng/dm/v11/i4/p3
  • This publication is cited in the following 5 articles:
    1. L. Ya. Saveliev, “Calculation of the number of states in binary Markov stochastic models”, Num. Anal. Appl., 8:2 (2015), 159–167  mathnet  crossref  crossref  mathscinet  elib
    2. L. Ya. Savelev, S. V. Balakin, “Nekotorye primeneniya stokhasticheskoi teorii serii”, Sib. zhurn. industr. matem., 15:3 (2012), 111–123  mathnet  mathscinet
    3. L. Ya. Savelyev, S. V. Balakin, “A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences”, Discrete Math. Appl., 21:1 (2011), 47–67  mathnet  crossref  crossref  mathscinet  elib
    4. L. Ja. Savel'ev, S. V. Balakin, “Joint distribution of the number of ones and the number of 1-runs in binary Markov sequences”, Discrete Math. Appl., 14:4 (2004), 353–372  mathnet  crossref  crossref  mathscinet  zmath
    5. L. Ja. Savel'ev, S. V. Balakin, B. V. Khromov, “Covering runs in binary Markov sequences”, Discrete Math. Appl., 13:2 (2003), 111–138  mathnet  crossref  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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