Previous article Next article Continuation of Convergence in the Central Limit TheoremH.-J. Rossberg and G. SiegelH.-J. Rossberg and G. Siegelhttps://doi.org/10.1137/1120095PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. V. Petrov, Sums of independent random variables, Springer-Verlag, New York, 1975x+346, Berlin MR0388499 0322.60043 CrossrefGoogle Scholar[2] H.-J. Rossberg, On a problem of Kolmogorov concerning the normal distribution, Theory Prob. Applications, 19 (1974), 795–798 10.1137/1119085 0323.60026 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Continuability of local weak limits for record valuesStatistics, Vol. 44, No. 3 Cross Ref Limit Theorems Involving Restricted ConvergenceH.-J. Rossberg28 July 2006 | Theory of Probability & Its Applications, Vol. 39, No. 2AbstractPDF (2035 KB)Vague Convergence for Convolutions and for Infinitely Divisible FunctionsG. Siegel1 August 2006 | Theory of Probability & Its Applications, Vol. 31, No. 1AbstractPDF (783 KB)One-Sided Characterization of the Normal Distribution in the Set of Infinitely Divisible DistributionsH.-J. Rossberg and G. Siegel17 July 2006 | Theory of Probability & Its Applications, Vol. 26, No. 2AbstractPDF (665 KB)Limit Theorems on Large Deviations in a Narrow ZoneL. V. Rozovskii17 July 2006 | Theory of Probability & Its Applications, Vol. 26, No. 4AbstractPDF (854 KB)Analytic Distribution Functions Cross Ref Continuation of Distribution Functions Cross Ref Limit Theorems for Identically Distributed Summands Asuming the Convergence of the Distribution Functions on a Half AxisH.-J. Rossberg17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (1398 KB)Uniqueness of Symmetric Distribution Functions Defined on Bounded Sets and Its ApplicationsG. Siegel17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (341 KB)On Moderate Deviation Probabilities for Sums of Independent Random VariablesN. N. Amosova17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (453 KB)On Determining an Infinitely Divisible Distribution Function by Its Values on a Half-LineI. A. Ibragimov17 July 2006 | Theory of Probability & Its Applications, Vol. 22, No. 2AbstractPDF (627 KB) Volume 20, Issue 4| 1976Theory of Probability & Its Applications History Submitted:03 July 1974Published online:17 July 2006 InformationCopyright © 1976 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1120095Article page range:pp. 866-868ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics