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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 6, Pages 1199–1204 (Mi smj928)  
This article is cited in 5 scientific papers (total in 5 papers)

The strong law of large numbers for $L$-statistics with dependent data

E. A. Baklanov

Novosibirsk State University
Full-text PDF (169 kB) Citations (5)
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Abstract: We prove the strong law of large numbers for the linear combinations of functions of order statistics ($L$-statistics) based on weakly dependent random variables. We also establish the Glivenko–Cantelli theorem for $\varphi$-mixing sequences of identically distributed random variables.
Keywords: $L$-statistics, stationary ergodic sequences, $\varphi$-mixing, Glivenko–Cantelli theorem, strong law of large numbers.
Received: 23.03.2006
Revised: 31.05.2006
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 6, Pages 974–979
DOI: https://doi.org/10.1007/s11202-006-0108-4
Bibliographic databases:
UDC: 519.214
Language: Russian
Citation: E. A. Baklanov, “The strong law of large numbers for $L$-statistics with dependent data”, Sibirsk. Mat. Zh., 47:6 (2006), 1199–1204; Siberian Math. J., 47:6 (2006), 974–979
Citation in format AMSBIB
\Bibitem{Bak06}
\by E.~A.~Baklanov
\paper The strong law of large numbers for $L$-statistics with dependent data
\jour Sibirsk. Mat. Zh.
\yr 2006
\vol 47
\issue 6
\pages 1199--1204
\mathnet{http://mi.mathnet.ru/smj928}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2302839}
\zmath{https://zbmath.org/?q=an:1150.60321}
\transl
\jour Siberian Math. J.
\yr 2006
\vol 47
\issue 6
\pages 974--979
\crossref{https://doi.org/10.1007/s11202-006-0108-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845481358}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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