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Refinements of classical probability estimates
Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 2, pp. 398-400 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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N. V. Sokolov. Refinements of classical probability estimates. Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 2, pp. 398-400. http://geodesic.mathdoc.fr/item/TVP_2013_58_2_a11/

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