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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 510–526 (Mi tvp3066)  

This article is cited in 7 scientific papers (total in 7 papers)

On the probabilities of large deviations for sums of independent random vectors

L. V. Osipov

Leningrad State University
Abstract: We obtain an asymptotic formula for the probabilities of large deviations for sums of independent Hilbert-space-valued random vectors. As a consequence a result on the probabilities of large deviations for the statictics $\omega^2$ is given.
Received: 18.04.1977
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 3, Pages 490–506
DOI: https://doi.org/10.1137/1123059
Bibliographic databases:
Language: Russian
Citation: L. V. Osipov, “On the probabilities of large deviations for sums of independent random vectors”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 510–526; Theory Probab. Appl., 23:3 (1979), 490–506
Citation in format AMSBIB
\Bibitem{Osi78}
\by L.~V.~Osipov
\paper On the probabilities of large deviations for sums of independent random vectors
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 3
\pages 510--526
\mathnet{http://mi.mathnet.ru/tvp3066}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509726}
\zmath{https://zbmath.org/?q=an:0437.60005}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 3
\pages 490--506
\crossref{https://doi.org/10.1137/1123059}
Linking options:
  • https://www.mathnet.ru/eng/tvp3066
  • https://www.mathnet.ru/eng/tvp/v23/i3/p510
  • This publication is cited in the following 7 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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