Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 4, pp. 826-831
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N. К. Arenbaev. Asymptotic behaviour of a multinomial distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 4, pp. 826-831. http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a10/
@article{TVP_1976_21_4_a10,
author = {N. {\CYRK}. Arenbaev},
title = {Asymptotic behaviour of a~multinomial distribution},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {826--831},
year = {1976},
volume = {21},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a10/}
}
TY - JOUR
AU - N. К. Arenbaev
TI - Asymptotic behaviour of a multinomial distribution
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 826
EP - 831
VL - 21
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a10/
LA - ru
ID - TVP_1976_21_4_a10
ER -
%0 Journal Article
%A N. К. Arenbaev
%T Asymptotic behaviour of a multinomial distribution
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 826-831
%V 21
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a10/
%G ru
%F TVP_1976_21_4_a10
Let $P_n(m_1,\dots,m_k)$ be the probability of a multinomial distribution and $\Pi_1$ , $\Pi_2$ and $\Pi_3$ be multidimensional distributions: Poisson, Gaussian and a combination of them respectively. Asymptotic estimates for the sums $$ \sum_{m_1+\dots+m_k=n}|P_n-\Pi_i|\qquad(i=1,2,3) $$ are obtained.
