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Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 1, Pages 107–117
DOI: https://doi.org/10.1070/SM1976v028n01ABEH001642 (Mi sm2742) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Asymptotic normality of some variables connected with the cyclic structure of random permutations

Yu. V. Bolotnikov, V. N. Sachkov, V. E. Tarakanov
English version PDF (504 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM1976v028n01ABEH001642
Abstract: Asymptotic normality as $n\to\infty$ is proved for certain random variables connected with the cyclic structure of a random permutation of degree $n$, under a nonuniform probability distribution on the set of all permutations, in particular, the asymptotic normality of the number of all cycles.
Bibliography: 7 titles.
Received: 03.06.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 99(141), Number 1, Pages 121–133
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: Primary 60E05, 60F05; Secondary 62E20
Language: English
Original paper language: Russian
Citation: Yu. V. Bolotnikov, V. N. Sachkov, V. E. Tarakanov, “Asymptotic normality of some variables connected with the cyclic structure of random permutations”, Mat. Sb. (N.S.), 99(141):1 (1976), 121–133; Math. USSR-Sb., 28:1 (1976), 107–117
Citation in format AMSBIB
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\by Yu.~V.~Bolotnikov, V.~N.~Sachkov, V.~E.~Tarakanov
\paper Asymptotic normality of some variables connected with the cyclic structure of random permutations
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 99(141)
\issue 1
\pages 121--133
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=415713}
\zmath{https://zbmath.org/?q=an:0335.60005}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 1
\pages 107--117
\crossref{https://doi.org/10.1070/SM1976v028n01ABEH001642}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EM69000006}
Linking options:
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  • https://doi.org/10.1070/SM1976v028n01ABEH001642
  • https://www.mathnet.ru/eng/sm/v141/i1/p121
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:446
    Russian version PDF:194
    English version PDF:22
    References:72
    First page:2
     
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