On the Effectiveness of Distinguished Detween Normal and Uniform Distributions on the Basis of Small Samples

Ts. G. Khakhubiya · Theory of Probability and Its Applications · 1966

Previous article Next article On the Effectiveness of Distinguished Detween Normal and Uniform Distributions on the Basis of Small SamplesTs. G. KhakhubiyaTs. G. Khakhubiyahttps://doi.org/10.1137/1111014PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. A. Petrov, Verification of statistical hypotheses on the type of distribution based on small samples, Theory Prob. Applications, 1 (1956), 223–245, (English translation.) 10.1137/1101018 LinkGoogle Scholar[2] L. N. Bol'shev, On the question of distinguishing normal and uniform distributions from small samples, Theory Prob. Applications, 10 (1965), 694–696, (English translation.) Google Scholar[3] E. S. Pearson and , M. A. Stephens, The ratio of range to standrd deviation in the same normal sample, Biometrika, 51 (1964), 484–487 MR0178524 0127.10706 CrossrefGoogle Scholar[4] Yu. V. Prokhorov, On a characterization of a class of probability distributions by distributions of some statistics, Theory Prob. Applications, 10 (1965), 438–445, (English translation.) 10.1137/1110051 LinkGoogle Scholar[5] Abraham Wald, Sequential Analysis, John Wiley & Sons Inc., New York, 1947xii+212 MR0020764 0029.15805 Google Scholar[6] Harald Cramér, Mathematical Methods of Statistics, Princeton Mathematical Series, vol. 9, Princeton University Press, Princeton, N. J., 1946xvi+575 MR0016588 0063.01014 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Характеризующие статистики и их применения22 July 2021 | Теория вероятностей и ее применения, Vol. 66, No. 3 Cross Ref Characterizing Statistics and Their ApplicationsA. V. Prokhorov and A. V. Savitskii2 November 2021 | Theory of Probability & Its Applications, Vol. 66, No. 3AbstractPDF (445 KB)A Test to Identify the Uniform Distribution, with Applications to Probability Plotting and Other DistributionsIEEE Transactions on Reliability, Vol. R-36, No. 1 Cross Ref Testing normality and exponentiality in multi-sample situations27 June 2007 | Communications in Statistics, Vol. 3, No. 8 Cross Ref Moments of Random DeterminantsI. G. Zhurbenko17 July 2006 | Theory of Probability & Its Applications, Vol. 13, No. 4AbstractPDF (409 KB) Volume 11, Issue 1| 1966Theory of Probability & Its Applications History Submitted:12 November 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1111014Article page range:pp. 166-172ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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