Some refinements of probabilistic and moment inequalities

Theory of Probability and its Applications

Volumn 42, Issue 4, 1997, Pages 707-713

  Nagaev, S V ^a  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

Absolute constants; Absolute moments; Chebyshev inequality; Euler function; Rosenthal inequality

Indexed keywords

EID: 0031291895     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0040585x9797657x     Document Type: Article

References (10)

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3. S. V. NAGAEV AND I. F. PINELIS, Some inequalities for the distributions of sums of independent random variables, Theory Probab. Appl., 22 (1972), pp. 243-256.
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9. S. V. NAGAEV, On a new approach to the study of the distribution of a norm of a random element in Hilbert space, Probability Theory and Mathematical Statistics, Proceedings of the Fifth Vilnius Conference, Mosklas/VSP, Vilnius/Utrecht, 1990, pp. 214-226.
10. S. V. NAGAEV, Probabilities of large deviations in Banach spaces, Mat. Zametki, 34 (1983), pp. 309-313 (in Russian).