On the Chebyshev-Cramér Asymptotic Expansions
Il'dar Abdullovich Ibragimov · Theory of Probability and Its Applications · 1967
Previous article Next article On the Chebyshev-Cramér Asymptotic ExpansionsI. A. IbragimovI. A. Ibragimovhttps://doi.org/10.1137/1112055PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. V. Gnedenko and , A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Company, Inc., Cambridge, Mass., 1954ix+264 MR0062975 0056.36001 Google Scholar[2] I. A. Ibragimov, On the accuracy of Gaussian approximation to the distribution functions of sums of independent variables, Theory Prob. Applications, 11 (1966), 559–579 10.1137/1111061 0161.15207 LinkGoogle Scholar[3] B. V. Gnedenko, The theory of probability, Translated from the fourth Russian edition by B. D. Seckler, Chelsea Publishing Co., New York, 1967, 529– MR0217824 Google Scholar[4] C. G. Esseen, Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law, Acta Math., 77 (1945), 1–125 MR0014626 0060.28705 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Distributed statistical estimation and rates of convergence in normal approximationElectronic Journal of Statistics, Vol. 13, No. 2 | 1 Jan 2019 Cross Ref Toward the History of the Saint Petersburg School of Probability and Statistics. I. Limit Theorems for Sums of Independent Random VariablesVestnik St. Petersburg University, Mathematics, Vol. 51, No. 2 | 16 June 2018 Cross Ref Theorems of Large Deviations for the Sums of a Random Number of Independent Random Variables1 Jan 2013 Cross Ref On the Asymptotic Equivalence of L p Metrics for Convergence to NormalitySelected Works of C.C. 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