Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 1, pp. 89-94
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I. A. Ibragimov. A Central Limit Theorem for a Class of Dependent Random Variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 1, pp. 89-94. http://geodesic.mathdoc.fr/item/TVP_1963_8_1_a6/
@article{TVP_1963_8_1_a6,
author = {I. A. Ibragimov},
title = {A~Central {Limit} {Theorem} for {a~Class} of {Dependent} {Random} {Variables}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {89--94},
year = {1963},
volume = {8},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1963_8_1_a6/}
}
TY - JOUR
AU - I. A. Ibragimov
TI - A Central Limit Theorem for a Class of Dependent Random Variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1963
SP - 89
EP - 94
VL - 8
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1963_8_1_a6/
LA - ru
ID - TVP_1963_8_1_a6
ER -
%0 Journal Article
%A I. A. Ibragimov
%T A Central Limit Theorem for a Class of Dependent Random Variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1963
%P 89-94
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1963_8_1_a6/
%G ru
%F TVP_1963_8_1_a6
Random variables $x_1,x_2\ldots$ with the conditions $\mathbf{E}\{x_i | x_{j-1},\ldots\}$ are considered and two theorems on the normal convergence of sums $\sum_1^n x_j$ are established.
