Geodesic
Refinements of classical probability estimates
Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 2, pp. 398-400

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TVP_2013_58_2_a11,
     author = {N. V. Sokolov},
     title = {Refinements of classical probability estimates},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {398--400},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2013_58_2_a11/}
}
TY  - JOUR
AU  - N. V. Sokolov
TI  - Refinements of classical probability estimates
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2013
SP  - 398
EP  - 400
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2013_58_2_a11/
LA  - ru
ID  - TVP_2013_58_2_a11
ER  - 
%0 Journal Article
%A N. V. Sokolov
%T Refinements of classical probability estimates
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2013
%P 398-400
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2013_58_2_a11/
%G ru
%F TVP_2013_58_2_a11
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/