Generalization of the Prokhorov multidimensional analog of the Chebyshev inequality
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.Downloads
Published
25.04.2006
Issue
Section
Short communications
How to Cite
Sokolov, N. V. “Generalization of the Prokhorov Multidimensional Analog of the Chebyshev Inequality”. Ukrains’kyi Matematychnyi Zhurnal, vol. 58, no. 4, Apr. 2006, pp. 573–576, https://umj.imath.kiev.ua/index.php/umj/article/view/3476.