Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 2, Pages 264–279 (Mi tvp2146)  
This article is cited in 1968 scientific papers (total in 1968 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 (1968)
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}
Linking options:
  • https://www.mathnet.ru/eng/tvp2146
  • https://www.mathnet.ru/eng/tvp/v16/i2/p264
    • This publication is cited in the following 1968 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
    Statistics & downloads:
    Abstract page:3721
    Full-text PDF :1444
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024