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Teoriya Veroyatnostei i ee Primeneniya, 2013, Volume 58, Issue 2, Pages 398–400
DOI: https://doi.org/10.4213/tvp4514 (Mi tvp4514) 		 
Short Communications

Refinements of classical probability estimates

N. V. Sokolov

St. Tikhon's Orthodox University, Moscow
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DOI: https://doi.org/10.4213/tvp4514
Abstract: In this paper we obtain several refinements of the classical probability estimates of Kolmogorov, Prokhorov, and Chebyshev using a generalization of the Prokhorov multidimensional analogue of the Chebyshev inequality.
Keywords: Chebyshev inequality; Kolmogorov inequality; Prokhorov inequality; specified upper and lower probability estimates; function discontinuity; discreteness of a random variable; discrete probability.
Received: 01.11.2012
English version:
Theory of Probability and its Applications, 2014, Volume 58, Issue 2, Pages 331–333
DOI: https://doi.org/10.1137/S0040585X97986588
Bibliographic databases:
Document Type: Article
MSC: 60
Language: Russian
Citation: N. V. Sokolov, “Refinements of classical probability estimates”, Teor. Veroyatnost. i Primenen., 58:2 (2013), 398–400; Theory Probab. Appl., 58:2 (2014), 331–333
Citation in format AMSBIB
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