Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 4, pp. 614-637
Citer cet article
A. A. Zinger. Limit laws for cumulative sums of independent random variables with distributions of a finite number of types. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 4, pp. 614-637. http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a1/
@article{TVP_1971_16_4_a1,
author = {A. A. Zinger},
title = {Limit laws for cumulative sums of independent random variables with distributions of a~finite number of types},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {614--637},
year = {1971},
volume = {16},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a1/}
}
TY - JOUR
AU - A. A. Zinger
TI - Limit laws for cumulative sums of independent random variables with distributions of a finite number of types
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1971
SP - 614
EP - 637
VL - 16
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a1/
LA - ru
ID - TVP_1971_16_4_a1
ER -
%0 Journal Article
%A A. A. Zinger
%T Limit laws for cumulative sums of independent random variables with distributions of a finite number of types
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1971
%P 614-637
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1971_16_4_a1/
%G ru
%F TVP_1971_16_4_a1
Let $Z_n=\frac1{B_n}\sum_{j=1}^nX_j-A_n$ ($n=1,2,\dots$) be a sequence of normalized sums of random variables with a non-degenerate limit distribution function $G(x)$. The paper describes classes $\mathfrak G_r$ of possible $G(x)$ when the distributions of $X_j$ ($j=1,2,\dots$) belong to at most $r$ ($r=1,2,\dots$) different types.
