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Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 1, Pages 159–164 (Mi tvp357)  

This article is cited in 44 scientific papers (total in 44 papers)

Short Communications

On the Limit Distributions of Order Statistics

D. M. Čibisov

Moscow
Abstract: The limit distribution of the $k$-th order statistic in a sample of size $n$ is considered when $k$ increases as $n^\alpha$, $0<\alpha<1$, namely when the condition (7) on $k$ is satisfied. The possible types of limit distributions and their domains of attraction are derived.
Received: 17.01.1963
English version:
Theory of Probability and its Applications, 1964, Volume 9, Issue 1, Pages 142–148
DOI: https://doi.org/10.1137/1109021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. M. Čibisov, “On the Limit Distributions of Order Statistics”, Teor. Veroyatnost. i Primenen., 9:1 (1964), 159–164; Theory Probab. Appl., 9:1 (1964), 142–148
Citation in format AMSBIB
\Bibitem{Chi64}
\by D.~M.~{\v C}ibisov
\paper On the Limit Distributions of Order Statistics
\jour Teor. Veroyatnost. i Primenen.
\yr 1964
\vol 9
\issue 1
\pages 159--164
\mathnet{http://mi.mathnet.ru/tvp357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=165633}
\zmath{https://zbmath.org/?q=an:0132.13507}
\transl
\jour Theory Probab. Appl.
\yr 1964
\vol 9
\issue 1
\pages 142--148
\crossref{https://doi.org/10.1137/1109021}
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  • https://www.mathnet.ru/eng/tvp/v9/i1/p159
  • This publication is cited in the following 44 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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