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Problemy Peredachi Informatsii, 2003, Volume 39, Issue 1, Pages 24–35 (Mi ppi155)  

This article is cited in 11 scientific papers (total in 11 papers)

Kolmogorov's Contributions to the Foundations of Probability

V. G. Vovk, G. R. Shafer
References:
Abstract: Andrei Nikolaevich Kolmogorov was the foremost contributor to the mathematical and philosophical foundations of probability in the twentieth century, and his thinking on the topic is still potent today. In this article we first review the three stages of Kolmogorov's work on the foundations of probability: (1) his formulation of measure-theoretic probability, 1933; (2) his frequentist theory of probability, 1963; and (3) his algorithmic theory of randomness, 1965–1987. We also discuss another approach to the foundations of probability, based on martingales, which Kolmogorov did not consider.
English version:
Problems of Information Transmission, 2003, Volume 39, Issue 1, Pages 21–31
DOI: https://doi.org/10.1023/A:1023674330295
Bibliographic databases:
UDC: 621.391:519.2
Language: Russian
Citation: V. G. Vovk, G. R. Shafer, “Kolmogorov's Contributions to the Foundations of Probability”, Probl. Peredachi Inf., 39:1 (2003), 24–35; Problems Inform. Transmission, 39:1 (2003), 21–31
Citation in format AMSBIB
\Bibitem{VovSha03}
\by V.~G.~Vovk, G.~R.~Shafer
\paper Kolmogorov's Contributions to the Foundations of Probability
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 1
\pages 24--35
\mathnet{http://mi.mathnet.ru/ppi155}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101342}
\zmath{https://zbmath.org/?q=an:1095.01011}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 1
\pages 21--31
\crossref{https://doi.org/10.1023/A:1023674330295}
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  • https://www.mathnet.ru/eng/ppi155
  • https://www.mathnet.ru/eng/ppi/v39/i1/p24
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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