2017
Том 69
№ 9

All Issues

Generalization of the Prokhorov multidimensional analog of the Chebyshev inequality

Sokolov N. V.

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Abstract

We prove two theorems on upper and lower bounds for probabilities in the multidimensional case. We generalize and improve the Prokhorov multidimensional analog of the Chebyshev inequality and establish a multidimensional analog of the generalized Kolmogorov probability estimate.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 4, pp 645-650.

Citation Example: Sokolov N. V. Generalization of the Prokhorov multidimensional analog of the Chebyshev inequality // Ukr. Mat. Zh. - 2006. - 58, № 4. - pp. 573–576.

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