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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 2, Pages 264–279 (Mi tvp2146)  
This article is cited in 1941 scientific papers (total in 1941 papers)

On uniform convergence of the frequencies of events to their probabilities

V. N. Vapnik, A. Ya. Červonenkis

Moscow
Full-text PDF (816 kB) Citations (1941)
Abstract: The paper considers the problem of uniform (over a class of events) convergence in probability of the frequences of events to their probabilities. Some sufficient conditions of the convergence are found which are expressed in terms of the class of events considered only. Necessary and sufficient conditions are also obtained which take into account thebasic probability measure properties.
Received: 07.05.1969
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 2, Pages 264–280
DOI: https://doi.org/10.1137/1116025
Bibliographic databases:
Language: Russian
Citation: V. N. Vapnik, A. Ya. Červonenkis, “On uniform convergence of the frequencies of events to their probabilities”, Teor. Veroyatnost. i Primenen., 16:2 (1971), 264–279; Theory Probab. Appl., 16:2 (1971), 264–280
Citation in format AMSBIB
\Bibitem{VapChe71}
\by V.~N.~Vapnik, A.~Ya.~{\v C}ervonenkis
\paper On uniform convergence of the frequencies of events to their probabilities
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 2
\pages 264--279
\mathnet{http://mi.mathnet.ru/tvp2146}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=288823}
\zmath{https://zbmath.org/?q=an:0247.60005}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 2
\pages 264--280
\crossref{https://doi.org/10.1137/1116025}
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  • https://www.mathnet.ru/eng/tvp/v16/i2/p264
    • This publication is cited in the following 1941 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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