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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 1, Pages 154–158 (Mi tvp2766)  
This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

On the Lévy inequality for random variables in a Banach space

V. V. Buldygin

Kiev
Full-text PDF (283 kB) Citations (4)
Abstract: The Lévy inequality for independent Banach-space-valued random variables is proved, its applications to convergence of series of independent Gaussian variables in a Banach space are given.
Received: 18.12.1972
English version:
Theory of Probability and its Applications, 1974, Volume 19, Issue 1, Pages 156–159
DOI: https://doi.org/10.1137/1119013
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Buldygin, “On the Lévy inequality for random variables in a Banach space”, Teor. Veroyatnost. i Primenen., 19:1 (1974), 154–158; Theory Probab. Appl., 19:1 (1974), 156–159
Citation in format AMSBIB
\Bibitem{Bul74}
\by V.~V.~Buldygin
\paper On the L\'evy inequality for random variables in a~Banach space
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 1
\pages 154--158
\mathnet{http://mi.mathnet.ru/tvp2766}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=341543}
\zmath{https://zbmath.org/?q=an:0325.60004}
\transl
\jour Theory Probab. Appl.
\yr 1974
\vol 19
\issue 1
\pages 156--159
\crossref{https://doi.org/10.1137/1119013}
Linking options:
  • https://www.mathnet.ru/eng/tvp2766
  • https://www.mathnet.ru/eng/tvp/v19/i1/p154
    • This publication is cited in the following 4 articles:
    1. H. Luschgy, “Linear estimators and radonifying operators”, Theory Probab. Appl., 40:1 (1995), 167–175  mathnet  mathnet  crossref  isi
    2. A. I. Sahanenko, “On Levy–Kolmogorov inequalities for random variables with values in a Banach space”, Theory Probab. Appl., 29:4 (1985), 830–836  mathnet  mathnet  crossref  isi
    3. V. V. Buldygin, N. A. Pidsuha, “Comparison theorems for random series in Banach spaces and some schemes of summation”, Theory Probab. Appl., 23:1 (1978), 22–35  mathnet  mathnet  crossref
    4. I. F. Pinelis, “On the distribution of sums of independent Banach-space-valued random variables”, Theory Probab. Appl., 23:3 (1978), 608–615  mathnet  mathnet  crossref
    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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