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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 1, Pages 214–219 (Mi tvp2787)  
Short Communications

On the power of one-sided Kolmogorov's test when the sample size is small

V. A. Epanechnikov

Moscow
Full-text PDF (355 kB)
Abstract: We obtain a recurrent relation for the power $P_n$ of one-sided Kolmogorov's test useful when the sample size $n$ is small. In some simple cases exact lower bounds for the power are found. The power $P_n$ for two biased normal distribution functions is tabulated ($n=5,10,20$).
Received: 17.01.1972
English version:
Theory of Probability and its Applications, 1974, Volume 19, Issue 1, Pages 207–212
DOI: https://doi.org/10.1137/1119024
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Epanechnikov, “On the power of one-sided Kolmogorov's test when the sample size is small”, Teor. Veroyatnost. i Primenen., 19:1 (1974), 214–219; Theory Probab. Appl., 19:1 (1974), 207–212
Citation in format AMSBIB
\Bibitem{Epa74}
\by V.~A.~Epanechnikov
\paper On the power of one-sided Kolmogorov's test when the sample size is small
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 1
\pages 214--219
\mathnet{http://mi.mathnet.ru/tvp2787}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=336898}
\zmath{https://zbmath.org/?q=an:0301.62026}
\transl
\jour Theory Probab. Appl.
\yr 1974
\vol 19
\issue 1
\pages 207--212
\crossref{https://doi.org/10.1137/1119024}
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