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S. N. Bernstein’s Inequalities in the Multidimensional Case

1968; Society for Industrial and Applied Mathematics; Volume: 13; Issue: 3 Linguagem: Inglês

10.1137/1113052

1095-7219

A. V. Prokhorov,

Probability and Statistical Research

Previous article Next article S. N. Bernstein’s Inequalities in the Multidimensional CaseA. V. ProkhorovA. V. Prokhorovhttps://doi.org/10.1137/1113052PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. V. Prokhorov, On multidimensional analogues of S. N. Bernstein's inequalities, Theory Prob. Applications, 13 (1968), 268–280 10.1137/1113030 LinkGoogle Scholar[2] Yu. V. Pokhorov, An extension of S. N. Bernstein's inequalities to multidimensional distributions, Theory Prob. Applications, 13 (1968), 260–267 10.1137/1113029 LinkGoogle Scholar[3] V. M. Zolotarev, Concerning a certain probability problem, Theory Prob. Applications, 6 (1961), 201–204 10.1137/1106025 0109.36404 LinkGoogle Scholar[4] W. Hoeffding, On a theorem of V. M. Zolotarev, Theory Prob. Applications, 9 (1964), 89–91 10.1137/1109008 LinkGoogle Scholar[5] S. N. Bernstein, Theory of Probability, Gostekhizdat, Moscow-Leningrad, 1946 Google Scholar[6] A. V. Prohorov, A certain probabilistic inequality, Mat. Zametki, 3 (1968), 731–738, (In Russian.) MR0231424 Google Scholar[7] G. M. Fikhtengol'ts, A Course on Differential and Integral Calculus, Vol. III, Gostekhizdat, Moscow-Leningrad, 1949 Google Scholar[8] A. V. Prokhorov, Inequalities for Bessel functions of a pure imaginary argument, Theory Prob. Applications, 13 (1968), 496–501 10.1137/1113063 0177.22102 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On Exponential Bounds for Probabilities of Large DeviationsV. V. YurinskiiTheory of Probability & Its Applications, Vol. 37, No. 1 | 28 July 2006PDF (208 KB)Lower Bounds for the Probabilities of Large Deviations in the Multidimensional CaseA. N. Arkhangel’skiiTheory of Probability & Its Applications, Vol. 32, No. 2 | 17 July 2006AbstractPDF (532 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)Exponential Bounds for Large DeviationsV. V. JurinskiiTheory of Probability & Its Applications, Vol. 19, No. 1 | 28 July 2006PDF (187 KB)On Sums of Random VectorsA. V. ProhorovTheory of Probability & Its Applications, Vol. 18, No. 1 | 28 July 2006AbstractPDF (267 KB)On the S. N. Bernstein InequalityS. L. Blyumin and B. D. KotlyarTheory of Probability & Its Applications, Vol. 16, No. 1 | 17 July 2006AbstractPDF (287 KB) Volume 13, Issue 3| 1968Theory of Probability & Its Applications359-546 History Submitted:05 May 1968Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1113052Article page range:pp. 438-447ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics