Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 757-766
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M. B. Petrovskaya; A. M. Leontovič. A central limit theorem for a sequence of random variables with slowly growing number of dependences. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 757-766. http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a9/
@article{TVP_1982_27_4_a9,
author = {M. B. Petrovskaya and A. M. Leontovi\v{c}},
title = {A~central limit theorem for a~sequence of random variables with slowly growing number of dependences},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {757--766},
year = {1982},
volume = {27},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a9/}
}
TY - JOUR
AU - M. B. Petrovskaya
AU - A. M. Leontovič
TI - A central limit theorem for a sequence of random variables with slowly growing number of dependences
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1982
SP - 757
EP - 766
VL - 27
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a9/
LA - ru
ID - TVP_1982_27_4_a9
ER -
%0 Journal Article
%A M. B. Petrovskaya
%A A. M. Leontovič
%T A central limit theorem for a sequence of random variables with slowly growing number of dependences
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1982
%P 757-766
%V 27
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a9/
%G ru
%F TVP_1982_27_4_a9
We prove a CLT for a sequence of random variables only some of which are dependent. As a consequence we obtain a CLT for random variables characterising the set of the moments of the cell's division in the $m^{th}$ ($m\to\infty$) generation of a specific branching process. The last problem is connected with biological models of cell populations.
