Previous article Next article Exact Exponential Bounds for Sums of Independent Random VariablesI. S. Pinelis and S. A. UtevI. S. Pinelis and S. A. Utevhttps://doi.org/10.1137/1134032PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. V. Nagaev, Large deviations of sums of independent random variables, Ann. Probab., 7 (1979), 745–789 80i:60032 0418.60033 CrossrefGoogle Scholar[2] I. F. Pinelis and , A. I. Sakhanenko, Remarks on inequalities for large deviation probabilities, Theory Probab. Appl., 30 (1985), 143–145 10.1137/1130013 0583.60023 LinkGoogle Scholar[3] I. F. Pinelis and , S. S. Utev, Exact probabilitiy inequalities, Fourth International Vil'nyus Conference on Probability Theory and Mathematical Statistics, Abstracts V, IV, Inst. Math.-Cyber. Acad. Sci. Lith., Vil'nyus, 1985, 229–231 Google Scholar[4] I. F. Pinelis and , S. S. Utev, Exact bounds for exponential moments, Theory Probab. 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Assoc., 58 (1963), 13–30 26:1908 0127.10602 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On the Nonuniform Berry–Esseen BoundInequalities and Extremal Problems in Probability and Statistics | 1 Jan 2017 Cross Ref On the extreme points of moments setsMathematical Methods of Operations Research, Vol. 83, No. 3 | 9 January 2016 Cross Ref Optimal-order bounds on the rate of convergence to normality in the multivariate delta methodElectronic Journal of Statistics, Vol. 10, No. 1 | 1 Jan 2016 Cross Ref Exact Rosenthal-type boundsThe Annals of Probability, Vol. 43, No. 5 | 1 Sep 2015 Cross Ref On the Bennett–Hoeffding inequalityAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, Vol. 50, No. 1 | 1 Feb 2014 Cross Ref Exact Lower Bounds on the Exponential Moments of Truncated Random VariablesJournal of Applied Probability, Vol. 48, No. 2 | 14 July 2016 Cross Ref Some Bounds on the Deviation Probability for Sums of Nonnegative Random Variables Using Upper Polynomials, Moment and Probability Generating FunctionsMissouri Journal of Mathematical Sciences, Vol. 22, No. 1 | 1 Feb 2010 Cross Ref A General Class of Exponential Inequalities for Martingales and RatiosThe Annals of Probability, Vol. 27, No. 1 | 1 Jan 1999 Cross Ref Optimal Tail Comparison Based on Comparison of MomentsHigh Dimensional Probability | 1 Jan 1998 Cross Ref Approximation of partial sums of arbitrary i.i.d. random variables and the precision of the usual exponential upper boundThe Annals of Probability, Vol. 25, No. 3 | 1 Jul 1997 Cross Ref Sharp Exponential Inequalities for the Martingales in the 2-Smooth Banach Spaces and Applications to “Scalarizing” DecouplingProbability in Banach Spaces, 9 | 1 Jan 1994 Cross Ref Volume 34, Issue 2| 1990Theory of Probability & Its Applications207-383 History Submitted:04 November 1986Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1134032Article page range:pp. 340-346ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics