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Diskr. Mat., 2019, Volume 31, Issue 1, Pages 111–124 (Mi dm1512)  

This article is cited in 1 scientific paper (total in 1 paper)

On the number of ones in outcome sequence of extended Pohl generator

N. M. Mezhennayaa, V. G. Mikhailovb

a Bauman Moscow State Technical University
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: The article presents the formulas for the number of ones in the cycle of outcome sequence of extended Pohl generator. We derive limit theorems for the number in the case when registers cells are filled with independent binary random variables with uniform distributions and lengths of the registers tend to infinity.

Keywords: multi-cyclic random sequence, Pohl generator, number of ones, asymptotic normality, limit theorems.

DOI: https://doi.org/10.4213/dm1512

Full text: PDF file (482 kB)
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UDC: 519.212.2
Received: 29.03.2018
Revised: 08.12.2018

Citation: N. M. Mezhennaya, V. G. Mikhailov, “On the number of ones in outcome sequence of extended Pohl generator”, Diskr. Mat., 31:1 (2019), 111–124

Citation in format AMSBIB
\Bibitem{MezMik19}
\by N.~M.~Mezhennaya, V.~G.~Mikhailov
\paper On the number of ones in outcome sequence of extended Pohl
generator
\jour Diskr. Mat.
\yr 2019
\vol 31
\issue 1
\pages 111--124
\mathnet{http://mi.mathnet.ru/dm1512}
\crossref{https://doi.org/10.4213/dm1512}
\elib{http://elibrary.ru/item.asp?id=37045017}


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  • https://doi.org/10.4213/dm1512
  • http://mi.mathnet.ru/eng/dm/v31/i1/p111

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Mezhennaya N.M., Mikhailov V.G., “On the Number of Ones in the Cycle of Multicyclin Sequence Determined By Boolean Function”, Sib. Electron. Math. Rep., 16 (2019), 229–235  mathnet  crossref  mathscinet  zmath  isi  scopus
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