Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 4, pp. 839-844
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G. I. Ivchenko. Wating time and testing hypotheses in a multinomial scheme. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 4, pp. 839-844. http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a14/
@article{TVP_1974_19_4_a14,
author = {G. I. Ivchenko},
title = {Wating time and testing hypotheses in a~multinomial scheme},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {839--844},
year = {1974},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a14/}
}
TY - JOUR
AU - G. I. Ivchenko
TI - Wating time and testing hypotheses in a multinomial scheme
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 839
EP - 844
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a14/
LA - ru
ID - TVP_1974_19_4_a14
ER -
%0 Journal Article
%A G. I. Ivchenko
%T Wating time and testing hypotheses in a multinomial scheme
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 839-844
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_4_a14/
%G ru
%F TVP_1974_19_4_a14
There are two hypotheses about probabilities $p_1,\dots,p_N$ in a multinomial scheme. These hypotheses are approaching each other as $N$ increases. To distinguish between them, statistical tests based on $\nu_m(k)$ are considered, where $\nu_m(k)$ is the number of trials after which $k$ cells will contain for the first time more than $m$ particles each.