Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 310-322
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V. V. Petrov. On the probabilities of large deviations for sums of independent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 310-322. http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a7/
@article{TVP_1965_10_2_a7,
author = {V. V. Petrov},
title = {On the probabilities of large deviations for sums of independent random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {310--322},
year = {1965},
volume = {10},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a7/}
}
TY - JOUR
AU - V. V. Petrov
TI - On the probabilities of large deviations for sums of independent random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 310
EP - 322
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a7/
LA - ru
ID - TVP_1965_10_2_a7
ER -
%0 Journal Article
%A V. V. Petrov
%T On the probabilities of large deviations for sums of independent random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 310-322
%V 10
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a7/
%G ru
%F TVP_1965_10_2_a7
Some limit theorems on the large deviations of a sum of independent random variables are proved. It is supposed that the moment generating function of each summand is finite in some non-degenerate interval $(0,B)$.