Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 432-444
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V. V. Petrov. The asymptotic behavior of large deviation probabilities. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 432-444. http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a2/
@article{TVP_1968_13_3_a2,
author = {V. V. Petrov},
title = {The asymptotic behavior of large deviation probabilities},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {432--444},
year = {1968},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a2/}
}
TY - JOUR
AU - V. V. Petrov
TI - The asymptotic behavior of large deviation probabilities
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1968
SP - 432
EP - 444
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a2/
LA - ru
ID - TVP_1968_13_3_a2
ER -
%0 Journal Article
%A V. V. Petrov
%T The asymptotic behavior of large deviation probabilities
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1968
%P 432-444
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a2/
%G ru
%F TVP_1968_13_3_a2
Some limit theorems are obtained for probabilities of large deviations of sums of independent random variables with unequal distributions. The main result (Theorem 1) is a generalization of the theorems due to Cramer [1] and the author [5].
