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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 4, Pages 725–730 (Mi tvp929)  

This article is cited in 18 scientific papers (total in 18 papers)

Short Communications

The significance level and power of two-sided Kolmogorov's test in case of small sample sizes

V. A. Epanechnikov

Moscow
Abstract: Calculating $n$-dimensional ($1\le n<\infty$) integrals over a domain restricted by $(n+1)$-dimensional hyperplanes, we obtain a recurrent relation for the significance level $\beta_n$ and power $P_n$ of two-sided Kolmogorov's test which can be used to get exact values of $\beta_n$ and $P_n$ in case of small sample sizes.
Received: 01.02.1967
English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 4, Pages 686–690
DOI: https://doi.org/10.1137/1113085
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Epanechnikov, “The significance level and power of two-sided Kolmogorov's test in case of small sample sizes”, Teor. Veroyatnost. i Primenen., 13:4 (1968), 725–730; Theory Probab. Appl., 13:4 (1968), 686–690
Citation in format AMSBIB
\Bibitem{Epa68}
\by V.~A.~Epanechnikov
\paper The significance level and power of two-sided Kolmogorov's test in case of small sample sizes
\jour Teor. Veroyatnost. i Primenen.
\yr 1968
\vol 13
\issue 4
\pages 725--730
\mathnet{http://mi.mathnet.ru/tvp929}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=242333}
\zmath{https://zbmath.org/?q=an:0183.48404|0177.46703}
\transl
\jour Theory Probab. Appl.
\yr 1968
\vol 13
\issue 4
\pages 686--690
\crossref{https://doi.org/10.1137/1113085}
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  • https://www.mathnet.ru/eng/tvp/v13/i4/p725
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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