Generalization of the Prokhorov multidimensional analog of the Chebyshev inequality

  • N. V. Sokolov

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.
Published
25.04.2006
How to Cite
SokolovN. 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.
Section
Short communications