Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 468-475
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L. V. Osipov. On asymptotic expansions of the distribution function of the sum of independent lattice random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 468-475. http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a5/
@article{TVP_1969_14_3_a5,
author = {L. V. Osipov},
title = {On asymptotic expansions of the distribution function of the sum of independent lattice random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {468--475},
year = {1969},
volume = {14},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a5/}
}
TY - JOUR
AU - L. V. Osipov
TI - On asymptotic expansions of the distribution function of the sum of independent lattice random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1969
SP - 468
EP - 475
VL - 14
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a5/
LA - ru
ID - TVP_1969_14_3_a5
ER -
%0 Journal Article
%A L. V. Osipov
%T On asymptotic expansions of the distribution function of the sum of independent lattice random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1969
%P 468-475
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a5/
%G ru
%F TVP_1969_14_3_a5
This paper considers the problem of remainder estimation in asymptotic expansions of the distribution function $F_n(x)$ of the normalized sum of independent lattice random variables. The results obtained is a generalization of a theorem due to Esseen [1], p. 61.
