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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 4, Pages 832–838
DOI: https://doi.org/10.4213/tvp2617 (Mi tvp2617) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Short Communications

Some refinements of probabilistic and moment inequalities

S. V. Nagaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (303 kB) Citations (15)
DOI: https://doi.org/10.4213/tvp2617
Abstract: The probabilistic inequality established for sums of independent random variables refines one of the estimates given in the paper by D. H. Fuk and S. V. Nagaev, [Theory Probab. Appl., 16 (1971), pp. 660–675. This inequality entails, in particular, the recent results of I. Pinelis, [Ann. Probab., 7 (1979), pp. 745–789, on estimation of constants in the Rosenthal inequality.
Keywords: Euler function, Rosenthal inequality, Chebysh evinequality, absolute constants, absolute moments.
Received: 12.05.1996
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 4, Pages 707–713
DOI: https://doi.org/10.1137/S0040585X9797657X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Nagaev, “Some refinements of probabilistic and moment inequalities”, Teor. Veroyatnost. i Primenen., 42:4 (1997), 832–838; Theory Probab. Appl., 42:4 (1998), 707–713
Citation in format AMSBIB
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\paper Some refinements of probabilistic and moment inequalities
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\pages 832--838
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\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 4
\pages 707--713
\crossref{https://doi.org/10.1137/S0040585X9797657X}
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  • https://www.mathnet.ru/eng/tvp/v42/i4/p832
    • This publication is cited in the following 15 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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