Teoriâ veroâtnostej i ee primeneniâ, Tome 2 (1957) no. 2, pp. 275-281
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Yu. A. Rozanov. On a Local Limit Theorem for Lattice Distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 2 (1957) no. 2, pp. 275-281. http://geodesic.mathdoc.fr/item/TVP_1957_2_2_a7/
@article{TVP_1957_2_2_a7,
author = {Yu. A. Rozanov},
title = {On a {Local} {Limit} {Theorem} for {Lattice} {Distributions}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {275--281},
year = {1957},
volume = {2},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1957_2_2_a7/}
}
TY - JOUR
AU - Yu. A. Rozanov
TI - On a Local Limit Theorem for Lattice Distributions
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1957
SP - 275
EP - 281
VL - 2
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1957_2_2_a7/
LA - ru
ID - TVP_1957_2_2_a7
ER -
%0 Journal Article
%A Yu. A. Rozanov
%T On a Local Limit Theorem for Lattice Distributions
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1957
%P 275-281
%V 2
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1957_2_2_a7/
%G ru
%F TVP_1957_2_2_a7
Let sequence (1) of independent random variables assuming only integral values satisfy conditions (A) and (B). The following proposition is proved: In order for correlation (2) to hold true for a sequence differing from (1) only by a finite number of terms, it is necessary and sufficient for (3) to be satisfied.