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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 218–226 (Mi znsl521)  

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

On a limit relation between order statistics and records

V. B. Nevzorov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (166 kB) Citations (1)
Abstract: Let a distribution function (d.f.) $F$ belong to the domain of minimal attraction of some d.f. $L$. It is shown that a limit distribution of suitably normalized order statistics $X_{k,n}$ corresponding to d.f. $F$ coincides with the distribution of the record value $X(k)$ corresponding to d.f. $L$.
Received: 11.12.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 2, Pages 1149–1153
DOI: https://doi.org/10.1007/BF02673637
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. B. Nevzorov, “On a limit relation between order statistics and records”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 218–226; J. Math. Sci. (New York), 99:2 (2000), 1149–1153
Citation in format AMSBIB
\Bibitem{Nev97}
\by V.~B.~Nevzorov
\paper On a limit relation between order statistics and records
\inbook Probability and statistics. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 244
\pages 218--226
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl521}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700391}
\zmath{https://zbmath.org/?q=an:0955.62052}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 2
\pages 1149--1153
\crossref{https://doi.org/10.1007/BF02673637}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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