Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 499-507
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A. Bikelis. Asymptotic expansions of the distribution functions of the sums of independent equally distributed lattice random vectors. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 499-507. http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a8/
@article{TVP_1969_14_3_a8,
author = {A. Bikelis},
title = {Asymptotic expansions of the distribution functions of the sums of independent equally distributed lattice random vectors},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {499--507},
year = {1969},
volume = {14},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a8/}
}
TY - JOUR
AU - A. Bikelis
TI - Asymptotic expansions of the distribution functions of the sums of independent equally distributed lattice random vectors
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1969
SP - 499
EP - 507
VL - 14
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a8/
LA - ru
ID - TVP_1969_14_3_a8
ER -
%0 Journal Article
%A A. Bikelis
%T Asymptotic expansions of the distribution functions of the sums of independent equally distributed lattice random vectors
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1969
%P 499-507
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a8/
%G ru
%F TVP_1969_14_3_a8
Let $$ S_n=\frac1{\sqrt n}\sum_{j=1}^n(\xi_j-\mathbf M\xi_j) $$ be the normalized sum of independent equally distributed lattice random vectors $\xi_1,\xi_2,\dots,\xi_n$. In this paper, asymptotic expansions of the probability function $P_n(A)$, $A$ being a Borel set, of $S_n$ are considered.
