Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 380-382
Citer cet article
A. V. Pechinkin. On Convergence of Random Sums of Random Variables to the Normal Law. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 380-382. http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a16/
@article{TVP_1973_18_2_a16,
author = {A. V. Pechinkin},
title = {On {Convergence} of {Random} {Sums} of {Random} {Variables} to the {Normal} {Law}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {380--382},
year = {1973},
volume = {18},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a16/}
}
TY - JOUR
AU - A. V. Pechinkin
TI - On Convergence of Random Sums of Random Variables to the Normal Law
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1973
SP - 380
EP - 382
VL - 18
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a16/
LA - ru
ID - TVP_1973_18_2_a16
ER -
%0 Journal Article
%A A. V. Pechinkin
%T On Convergence of Random Sums of Random Variables to the Normal Law
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1973
%P 380-382
%V 18
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a16/
%G ru
%F TVP_1973_18_2_a16
In this paper, sums of a random number of independent random symmetric variables with the same distribution are investigated. Necessary and sufficient conditions for convergence of these sums to the normal law are given.