Previous article Next article Inequalities for the Probabilities of Large Deviations in the Multidimensional CaseSh. S. EbralidzeSh. S. Ebralidzehttps://doi.org/10.1137/1116087PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. Kh. Fuk and , S. V. Nagaev, Probability inequalities for sums of independent random variables, Theory Prob. Applications, 16 (1971), 643–660 10.1137/1116071 0259.60024 LinkGoogle Scholar[2] A. Bikyalis, Estimates of the remainder term in the central limit theorem, Lit. Mat. Sbornik, VI (1966), 321–346, (In Russian.) Google Scholar[3] V. I. Rotar', On the speed of convergence in the multidimensional central limit theorem, Theory Prob. Applications, 15 (1970), 354–355 10.1137/1115044 0227.60018 LinkGoogle Scholar[4] V. V. Yurinskii, On an infinite-dimensional version of S. N. Bernstein's inequality, Theory Prob. Applications, 15 (1970), 108–109 10.1137/1115008 0216.46601 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Statistical Aspects of Wasserstein DistancesAnnual Review of Statistics and Its Application, Vol. 6, No. 1 | 7 Mar 2019 Cross Ref An invariance principle for the stochastic heat equationStochastics and Partial Differential Equations: Analysis and Computations, Vol. 6, No. 4 | 7 May 2018 Cross Ref Bounds for the Rate of Strong Approximation in the Multidimensional Invariance PrincipleF. Götze and A. Yu. ZaitsevTheory of Probability & Its Applications, Vol. 53, No. 1 | 27 February 2009AbstractPDF (249 KB)Probabilistic Inequalities for Sums of Independent RandomVariables in Terms of Truncated PseudomomentsS. V. NagaevTheory of Probability & Its Applications, Vol. 42, No. 3 | 17 February 2012AbstractPDF (265 KB)Summary of Papers Presented at Sessions of the Probability and Statistics Section of the Moscow Mathematical Society (February–October 1974)Theory of Probability & Its Applications, Vol. 20, No. 2 | 17 July 2006AbstractPDF (1740 KB)On the Rate of Convergence for the Invariance PrincipleA. A. BorovkovTheory of Probability & Its Applications, Vol. 18, No. 2 | 17 July 2006AbstractPDF (1373 KB) Volume 16, Issue 4| 1971Theory of Probability & Its Applications575-746 History Submitted:27 June 1971Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1116087Article page range:pp. 733-737ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics