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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 3, Pages 563–578 (Mi tvp3966)  
This article is cited in 10 scientific papers (total in 10 papers)

The central limit theorem for generalized $U$-statistics for weakly dependent vectors

Sh. A. Khashimov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (2166 kB) Citations (10)
Abstract: In this paper the central limit theorem for generalized $U$-statistics for weakly dependent vectors is established. It is proved that normalization is essential for the dependence or nondegenerate of the generalized $U$-statistics.The results obtained are applied to some problems on dependent observations in the theory of nonparametric estimation.
Keywords: generalized $U$-statistic, absolute regularity, kernel estimations.
Received: 20.07.1989
Revised: 23.05.1991
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 3, Pages 456–469
DOI: https://doi.org/10.1137/1138042
Bibliographic databases:
Language: Russian
Citation: Sh. A. Khashimov, “The central limit theorem for generalized $U$-statistics for weakly dependent vectors”, Teor. Veroyatnost. i Primenen., 38:3 (1993), 563–578; Theory Probab. Appl., 38:3 (1993), 456–469
Citation in format AMSBIB
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\by Sh.~A.~Khashimov
\paper The central limit theorem for generalized $U$-statistics for weakly dependent vectors
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 3
\pages 563--578
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1404665}
\zmath{https://zbmath.org/?q=an:0813.60019}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 3
\pages 456--469
\crossref{https://doi.org/10.1137/1138042}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993PJ74300005}
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  • https://www.mathnet.ru/eng/tvp/v38/i3/p563
    • This publication is cited in the following 10 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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