Approximation of the Distribution of Multidimensional Randomized Divisible Statistics by Normal Distributions (Multinomial Scheme)
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Previous article Next article Approximation of the Distribution of Multidimensional Randomized Divisible Statistics by Normal Distributions (Multinomial Scheme)Sh. A. MirakhmedovSh. A. Mirakhmedovhttps://doi.org/10.1137/1132102PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Sh. A. Mirakhmedov, Estimates of the closeness of the distribution of a randomized separable statistic to the normal law in a multinomial scheme, Theory Probab. Appl., 30 (1985), 192–195 10.1137/1130025 0658.62015 LinkGoogle Scholar[2] Yu. I. Medvedev, Some theorems on the asymptotic distribution of the $\chi \sp{2}$ statistic, Dokl. Akad. Nauk SSSR, 192 (1970), 987–989 42:1263 0212.22803 Google Scholar[3] V. A. Ivanov, , G. I. Ivchenko and , Yu. I. Medvedev, Discrete problems in probability theoryProbability theory. Mathematical statistics. Theoretical cybernetics, Vol. 22, Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. 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Appl., 31 (1986), 81–87 10.1137/1131007 0602.60029 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributionsCommunications in Statistics - Theory and Methods, Vol. 1 | 30 April 2021 Cross Ref The probabilities of large deviations for a certain class of statistics associated with multinomial distributionESAIM: Probability and Statistics, Vol. 24 | 9 October 2020 Cross Ref On Edgeworth Expansions in Generalized Urn ModelsJournal of Theoretical Probability, Vol. 27, No. 3 | 17 October 2012 Cross Ref On Tests of Fit Based on Grouped DataAdvances in Directional and Linear Statistics | 27 September 2010 Cross Ref Asymptotic normality associated with generalized occupancy problemsStatistics & Probability Letters, Vol. 77, No. 15 | 1 Sep 2007 Cross Ref Probabilities of Large Deviations for Randomized Divisible Statistics in the Multinomial SchemeS. Kh. Sirazhdinov, Sh. A. Mirakhmedov, and Sh. A. IsmatullaevTheory of Probability & Its Applications, Vol. 34, No. 4 | 17 July 2006AbstractPDF (1080 KB) Volume 32, Issue 4| 1988Theory of Probability & Its Applications573-758 History Submitted:24 October 1985Published online:17 July 2006 InformationCopyright © 1987 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1132102Article page range:pp. 696-706ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics