On Multidimensional Analogues of S. N. Bernstein’s Inequalities

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Previous article Next article On Multidimensional Analogues of S. N. Bernstein’s InequalitiesA. V. ProkhorovA. V. Prokhorovhttps://doi.org/10.1137/1113030PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Yu. V. Prokhorov, An extension of S. N. Bernstein's inequalities to multidimensional distributions, Theory Prob. Applications, 13 (1968), 260–267 10.1137/1113029 0167.46903 LinkGoogle Scholar[2] W. Hoeffding, On a theorem of V. M. Zolotarev, Theory Prob. Applications, 9 (1964), 89–91 10.1137/1109008 LinkGoogle Scholar[3] Wassily Hoeffding, Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc., 58 (1963), 13–30 MR0144363 (26:1908) 0127.10602 CrossrefGoogle Scholar[4] A. V. Prokhorov, On a probability inequality, Mat. Zametki, 3 (1968), , (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On Exponential Bounds for Probabilities of Large DeviationsV. V. Yurinskii28 July 2006 | Theory of Probability & Its Applications, Vol. 37, No. 1PDF (208 KB)Exponential Bounds for the Distribution of the Maximum of a Non-Gaussian Random FieldE. I. Ostrovskii17 July 2006 | Theory of Probability & Its Applications, Vol. 35, No. 3AbstractPDF (1196 KB)The Rate of Convergence of the Distribution of the Smirnov-von Mises StatisticA. I. Orlov28 July 2006 | Theory of Probability & Its Applications, Vol. 19, No. 4AbstractPDF (1852 KB)Exponential Bounds for Large DeviationsV. V. Jurinskii28 July 2006 | Theory of Probability & Its Applications, Vol. 19, No. 1PDF (187 KB)On the S. N. Bernstein InequalityS. L. Blyumin and B. D. Kotlyar17 July 2006 | Theory of Probability & Its Applications, Vol. 16, No. 1AbstractPDF (287 KB)S. N. Bernstein’s Inequalities in the Multidimensional CaseA. V. Prokhorov17 July 2006 | Theory of Probability & Its Applications, Vol. 13, No. 3AbstractPDF (652 KB) Volume 13, Issue 2| 1968Theory of Probability & Its Applications History Submitted:08 February 1968Published online:28 July 2006 InformationCopyright © 1968 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1113030Article page range:pp. 268-280ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics