On Estimating the Rate of Convergence in the Central Limit Theorem Over a System of Balls in $R^k $

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Previous article Next article On Estimating the Rate of Convergence in the Central Limit Theorem Over a System of Balls in $R^k $V. V. SenatovV. V. Senatovhttps://doi.org/10.1137/1128042PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. M. Zolotarev, Metric distances in spaces of random variables and their distributions, Math. USSR, 30 (1976), 373–401 0383.60022 CrossrefGoogle Scholar[2] V. V. Senatov, Uniform estimates of the rate of convergence in the multi-dimensional central limit theorem, Theory Prob. Appl., 25 (1980), 745–759 0471.60031 LinkGoogle Scholar[3] L. V. Osipov and , V. I. Rotar', On the rate of convergence in the mufti- and infinite-dimensional central limit theorems, Third International Vil'nyus Conference in Probability Theory and Mathematical Statistics, Summary of Reports. Vol. 2,, Inst. Matematiki i Kibernetiki AN Akad. Nauk. LitSSR, Vil'nyus, 1981, 97–98, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Four Examples of Lower Estimates in the Multi-Dimensional Central Limit TheoremV. V. SenatovTheory of Probability & Its Applications, Vol. 30, No. 4 | 28 July 2006AbstractPDF (828 KB)BibliographyNormal Approximation Cross Ref Volume 28, Issue 2| 1984Theory of Probability & Its Applications219-469 History Submitted:17 December 1982Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1128042Article page range:pp. 463-467ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics