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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
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
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
Linking options:
https://www.mathnet.ru/eng/tvp2617https://doi.org/10.4213/tvp2617 https://www.mathnet.ru/eng/tvp/v42/i4/p832
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