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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 3, Pages 543–563 (Mi tvp2600)  
This article is cited in 124 scientific papers (total in 124 papers)

Necessary and sufficient conditions for the uniform convergence of empirical means to their true values

V. N. Vapnik, A. Ja. Červonenkis

Moscow
Full-text PDF (1010 kB) Citations (124)
Abstract: The convergence of empirical means to their true values is studied. Using the properties of $\varepsilon$-entropy we find the necessary and sufficient conditions for the uniformity of this convergence.
Received: 28.07.1978
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 3, Pages 532–553
DOI: https://doi.org/10.1137/1126059
Bibliographic databases:
Language: Russian
Citation: V. N. Vapnik, A. Ja. Červonenkis, “Necessary and sufficient conditions for the uniform convergence of empirical means to their true values”, Teor. Veroyatnost. i Primenen., 26:3 (1981), 543–563; Theory Probab. Appl., 26:3 (1982), 532–553
Citation in format AMSBIB
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\by V.~N.~Vapnik, A.~Ja.~{\v C}ervonenkis
\paper Necessary and sufficient conditions for the uniform convergence of empirical means to their true values
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 3
\pages 543--563
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\zmath{https://zbmath.org/?q=an:0487.60036|0471.60041}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 3
\pages 532--553
\crossref{https://doi.org/10.1137/1126059}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981PA76400008}
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  • https://www.mathnet.ru/eng/tvp/v26/i3/p543
    • This publication is cited in the following 124 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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