On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 1, pp. 186-192
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Let there be m samples each of the size $n$. The null hypothesis is that the distribution in every sample is of the normal type whereas the alternative hypothesis is that it is of the uniform type. It is shown that the number of observation necessary to distinguish these hypotheses with the prescribed accuracv rapidly decreases as $n$ increases.
@article{TVP_1966_11_1_a13,
author = {Ts. G. Khakhubiya},
title = {On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {186--192},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {1966},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_1_a13/}
}
TY - JOUR AU - Ts. G. Khakhubiya TI - On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1966 SP - 186 EP - 192 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1966_11_1_a13/ LA - ru ID - TVP_1966_11_1_a13 ER -
%0 Journal Article %A Ts. G. Khakhubiya %T On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples %J Teoriâ veroâtnostej i ee primeneniâ %D 1966 %P 186-192 %V 11 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1966_11_1_a13/ %G ru %F TVP_1966_11_1_a13
Ts. G. Khakhubiya. On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 1, pp. 186-192. http://geodesic.mathdoc.fr/item/TVP_1966_11_1_a13/