Previous article Next article A Lower Bound for the Convergence Rate in the Central Limit TheoremV. K. MatskyavichyusV. K. Matskyavichyushttps://doi.org/10.1137/1128054PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. Kh. Sirazhdinov and , M. O. Mamatov, A local theorem for densities, Dokl. Akad. Nauk SSSR, 142 (1962), 1036–1037, (In Russian.) 25:593 Google Scholar[2] I. A. Ibragimov and , Yu. V. Linnik, Independent and stationary sequences of random variables, Wolters-Noordhoff Publishing, Groningen, 1971, 443– 48:1287 0219.60027 Google Scholar[3] C. C. Heyde, On the influence of moments on the rate of convergence to the normal distribution, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 8 (1967), 12–18 35:6185 0149.14001 CrossrefGoogle Scholar[8] C. C. Heyde, On the uniform metric in the context of convergence to normality, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 25 (1972/73), 83–95 48:12627 0256.60010 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Estimates of the Rate of Convergence in the Limit Theorem for Negative Binomial Random Sums15 October 2022 | Journal of Mathematical Sciences, Vol. 267, No. 2 Cross Ref Definitions and Preliminary Facts17 June 2016 Cross Ref Lower Estimates17 June 2016 Cross Ref Heinrich’s Method for m-Dependent Variables17 June 2016 Cross Ref Other Methods17 June 2016 Cross Ref The Method of Convolutions17 June 2016 Cross Ref Local Lattice Estimates17 June 2016 Cross Ref Uniform Lattice Estimates17 June 2016 Cross Ref Близость вероятностных распределений в терминах преобразований Фурье - СтилтьесаУспехи математических наук, Vol. 71, No. 6(432) Cross Ref On the Accuracy of the Normal Approximation to Compound Poisson DistributionsI. G. Shevtsova10 March 2014 | Theory of Probability & Its Applications, Vol. 58, No. 1AbstractPDF (277 KB)Rate of convergence and Edgeworth-type expansion in the entropic central limit theoremThe Annals of Probability, Vol. 41, No. 4 Cross Ref On the Asymptotically Exact Constants in the Berry–Esseen–Katz InequalityI. G. Shevtsova2 June 2011 | Theory of Probability & Its Applications, Vol. 55, No. 2AbstractPDF (327 KB)On the Accuracy of the Normal Approximation. IV. Yu. Korolev and I. G. Shevtsova25 July 2006 | Theory of Probability & Its Applications, Vol. 50, No. 2AbstractPDF (197 KB)On the Accuracy of the Normal Approximation. IIV. Yu. Korolev and I. G. Shevtsova15 August 2006 | Theory of Probability & Its Applications, Vol. 50, No. 3AbstractPDF (152 KB)On a Lower Bound for the Convergence Rate in a Local Limit TheoremV. K. Matskyavichyus28 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 4AbstractPDF (325 KB)Addendum: A Lower Bound for the Convergence Rate in the Central Limit TheoremV. K. Matskyavichus17 July 2006 | Theory of Probability & Its Applications, Vol. 29, No. 1PDF (132 KB) Volume 28, Issue 3| 1984Theory of Probability & Its Applications History Submitted:28 December 1982Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1128054Article page range:pp. 596-601ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics