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Teor. Veroyatnost. i Primenen., 1966, Volume 11, Issue 1, Pages 186–192 (Mi tvp609)  

Short Communications

On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples

Ts. G. Khakhubiyaab

a Moscow
b Tbilisi

Abstract: 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.

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English version:
Theory of Probability and its Applications, 1966, 11:1, 166–172

Bibliographic databases:

Received: 12.11.1965

Citation: Ts. G. Khakhubiya, “On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples”, Teor. Veroyatnost. i Primenen., 11:1 (1966), 186–192; Theory Probab. Appl., 11:1 (1966), 166–172

Citation in format AMSBIB
\Bibitem{Kha66}
\by Ts.~G.~Khakhubiya
\paper On the effectiveness of distinguishing between the normal and the uniform tupes of distributions on the basis of small samples
\jour Teor. Veroyatnost. i Primenen.
\yr 1966
\vol 11
\issue 1
\pages 186--192
\mathnet{http://mi.mathnet.ru/tvp609}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=193709}
\transl
\jour Theory Probab. Appl.
\yr 1966
\vol 11
\issue 1
\pages 166--172
\crossref{https://doi.org/10.1137/1111014}


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