Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 867-871
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S. Ya. Šorgin. Approximation of a generalized binomial distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 867-871. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a19/
@article{TVP_1977_22_4_a19,
author = {S. Ya. \v{S}orgin},
title = {Approximation of a~generalized binomial distribution},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {867--871},
year = {1977},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a19/}
}
TY - JOUR
AU - S. Ya. Šorgin
TI - Approximation of a generalized binomial distribution
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 867
EP - 871
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a19/
LA - ru
ID - TVP_1977_22_4_a19
ER -
%0 Journal Article
%A S. Ya. Šorgin
%T Approximation of a generalized binomial distribution
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 867-871
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a19/
%G ru
%F TVP_1977_22_4_a19
The distribution of \begin{gather*} S_n=X_1+\dots+X_n \\ (\mathbf P\{X_j=1\}=p_j,\quad\mathbf P\{X_j=0\}=1-p_j) \end{gather*} is investigated. Some results are obtained concerning the rate of its convergence to a Poisson law and to some modifications of the Poisson law.
