On the Uniform Approximation of Distributions of Sums of Independent Random Variables

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Previous article Next article On the Uniform Approximation of Distributions of Sums of Independent Random VariablesA. Yu. ZaitsevA. Yu. Zaitsevhttps://doi.org/10.1137/1132003PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] T. V. Arak, On the convergence rate in Kolmogorov's uniform limit theorem, Theory Probab. Appl., 26 (1981), 221–239, 437–451 0456.60012 Google Scholar[2] T. V. Arak and , A. Yu. Zaitsev, An estimate of the rate of convergence in Kolmogorov's second uniform limit theorem, Soviet Math. Dokl., 26 (1982), 509–513 0525.60017 Google Scholar[3] Aloisio Araujo and , Evarist Giné, The central limit theorem for real and Banach valued random variables, John Wiley & Sons, New York-Chichester-Brisbane, 1980xiv+233 83e:60003 Google Scholar[4] A. Bikyalis, Estimates of the remainder term in the central limit theorem, Litovsk. Mat. Sb., 6 (1966), 323–346, (In Russian.) 35:1067 Google Scholar[5] B. V. 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ILithuanian Mathematical Journal, Vol. 32, No. 3 | 1 Jul 1992 Cross Ref The Suzdal International Seminar of 1991 on Stability Problems for Stochastic ModelsTheory of Probability & Its Applications, Vol. 36, No. 4 | 17 July 2006AbstractPDF (5581 KB)Multidimensional Version of the Second Uniform Limit Theorem of KolmogorovA. Yu. ZaitsevTheory of Probability & Its Applications, Vol. 34, No. 1 | 17 July 2006AbstractPDF (1762 KB) Volume 32, Issue 1| 1988Theory of Probability & Its Applications1-197 History Submitted:25 May 1985Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1132003Article page range:pp. 40-47ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics