Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 1, pp. 155-159
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A. A. Borovkov. Some inequalities for sums of multidimensional random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 1, pp. 155-159. http://geodesic.mathdoc.fr/item/TVP_1968_13_1_a12/
@article{TVP_1968_13_1_a12,
author = {A. A. Borovkov},
title = {Some inequalities for sums of multidimensional random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {155--159},
year = {1968},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_1_a12/}
}
TY - JOUR
AU - A. A. Borovkov
TI - Some inequalities for sums of multidimensional random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1968
SP - 155
EP - 159
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1968_13_1_a12/
LA - ru
ID - TVP_1968_13_1_a12
ER -
%0 Journal Article
%A A. A. Borovkov
%T Some inequalities for sums of multidimensional random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1968
%P 155-159
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1968_13_1_a12/
%G ru
%F TVP_1968_13_1_a12
A sequence of $k$-dimensional independent identically distributed random variables $\xi_1,\xi_2,\dots$ is considered and probabilities $$ \mathbf P(s_n\in D_n), $$ where $s_n=\sum_{i=1}^n\xi_i$, $D_n$ is a sequence of regions of the $k$-dimensional space, are estimated.
