Teoriâ veroâtnostej i ee primeneniâ, Tome 7 (1962) no. 3, pp. 344-346
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V. V. Petrov. Local Limit Theorems for Non-Identical Lattice Distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 7 (1962) no. 3, pp. 344-346. http://geodesic.mathdoc.fr/item/TVP_1962_7_3_a8/
@article{TVP_1962_7_3_a8,
author = {V. V. Petrov},
title = {Local {Limit} {Theorems} for {Non-Identical} {Lattice} {Distributions}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {344--346},
year = {1962},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1962_7_3_a8/}
}
TY - JOUR
AU - V. V. Petrov
TI - Local Limit Theorems for Non-Identical Lattice Distributions
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1962
SP - 344
EP - 346
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1962_7_3_a8/
LA - ru
ID - TVP_1962_7_3_a8
ER -
%0 Journal Article
%A V. V. Petrov
%T Local Limit Theorems for Non-Identical Lattice Distributions
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1962
%P 344-346
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1962_7_3_a8/
%G ru
%F TVP_1962_7_3_a8
Asymptotic expansions are obtained in a local limit theorem for the sum of non-identically distributed independent random variables having lattice distributions with finite moments of integer order $k\geq3$. The theorem stated is a generalization of a result by Esseen.
