On an Estimate of the Remainder in Lindeberg’s Theorem

Previous article Next article On an Estimate of the Remainder in Lindeberg’s TheoremI. A. Ibragimov and L. V. OsipovI. A. Ibragimov and L. V. Osipovhttps://doi.org/10.1137/1111008PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. V. Gnedenko, Limit theorems for sums of independent summands and for Markov chains, Ukrain. Mat. Ž., 6 (1954), 5–20, (In Russian.) MR0077009 Google Scholar[2] I. A. Ibragimov, On the rate of convergence to the normal distribution, Dokl. Akad. Nauk SSSR, 161 (1965), 1267–1269, (In Russian.) MR0177434 Google Scholar[3] Yu. P. Studnev, On the problem of the behavior of the remainder in the conditions of Lyapunov's theorem, Nauchn. Zap. Uzhgorodsk. Gos. Un-ta, XVIII (1957), 183–189, (In Russian.) Google Scholar[4] A. Bikyalis, Ph.D. Thesis, Limit theorems for sums of independent random vectors, Vil'nyus, 1965, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On Natural Convergence Rate Estimates in the Lindeberg Theorem15 August 2020 | Sankhya A, Vol. 84, No. 2 Cross Ref On Modifications of the Lindeberg and Rotar' Conditions in the Central Limit TheoremI. A. Ibragimov, E. L. Presman, and Sh. K. Formanov5 February 2021 | Theory of Probability & Its Applications, Vol. 65, No. 4AbstractPDF (293 KB)О модификациях условий Линдеберга и Ротаря в центральной предельной теореме22 October 2020 | Теория вероятностей и ее применения, Vol. 65, No. 4 Cross Ref On Lindeberg–Feller Limit Theorem19 June 2019 | Doklady Mathematics, Vol. 99, No. 2 Cross Ref On the Estimates in the Lindeberg-Feller’s Limit Theorem21 December 2017 Cross Ref On Estimates of the Rate of Convergence in the Central Limit Theorem for Homogeneous Markov ChainsS. Kh. Sirazhdinov and Sh. K. Formanov17 July 2006 | Theory of Probability & Its Applications, Vol. 28, No. 2AbstractPDF (720 KB)On the Berry-Esseen theoremZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 10, No. 3 Cross Ref Volume 11, Issue 1| 1966Theory of Probability & Its Applications History Submitted:03 July 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1111008Article page range:pp. 125-128ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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