Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 1, pp. 83-91
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V. G. Mikhaǐlov. Asymptotic normality of the number of empty cells for group. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 1, pp. 83-91. http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a6/
@article{TVP_1980_25_1_a6,
author = {V. G. Mikhaǐlov},
title = {Asymptotic normality of the number of empty cells for group},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {83--91},
year = {1980},
volume = {25},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a6/}
}
TY - JOUR
AU - V. G. Mikhaǐlov
TI - Asymptotic normality of the number of empty cells for group
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1980
SP - 83
EP - 91
VL - 25
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a6/
LA - ru
ID - TVP_1980_25_1_a6
ER -
%0 Journal Article
%A V. G. Mikhaǐlov
%T Asymptotic normality of the number of empty cells for group
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1980
%P 83-91
%V 25
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a6/
%G ru
%F TVP_1980_25_1_a6
Let $n$ groups of particles ($s$ particles in group) be placed independently in $N$ cells and probabilities of all dispositions are equal. Let $\mu_0$ be the number of empty cells. Convergence of moments of distribution of $(D\mu_0)^{-1/2}(\mu_0-E\mu_0)$ to the moments of standard normal distribution is proved.
