On a Problem of Kolmogorov Concerning the Normal Distribution

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Previous article Next article On a Problem of Kolmogorov Concerning the Normal DistributionH. -J. RossbergH. -J. Rossberghttps://doi.org/10.1137/1119085PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Eugene Lukacs, Characteristic functions, Hafner Publishing Co., New York, 1970x+350, 2nd edition MR0346874 (49:11595) 0201.20404 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Continuation theorems of the extremes under power normalizationJournal of Applied Mathematics and Computing, Vol. 10, No. 1-2 Cross Ref Limit Theorems Involving Restricted ConvergenceH.-J. Rossberg28 July 2006 | Theory of Probability & Its Applications, Vol. 39, No. 2AbstractPDF (2035 KB)Mixtures of Probability Distributions Uniquely Determined by Their Behavior on a Half-LineV. M. Kruglov and A. M. Ulanovskii17 July 2006 | Theory of Probability & Its Applications, Vol. 32, No. 4AbstractPDF (688 KB)Characterization of Power-Mixtures by Means of Their One-Sided Asymptotic BehaviorJ. Bethmann28 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 1AbstractPDF (447 KB)On Uniqueness Conditions for Functions of Bounded Variation and Distribution Functions with Values on the Half-LineN. M. Blank17 July 2006 | Theory of Probability & Its Applications, Vol. 27, No. 4AbstractPDF (329 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)On Determining the Convolution of Identical Distribution Functions by its Values on the Half-AxisA. N. Titov17 July 2006 | Theory of Probability & Its Applications, Vol. 26, No. 3PDF (182 KB)On the Unique Determination of Lévy’s Spectral Functions and Parameters of Infinitely Divisible DistributionsB. Jesiak17 July 2006 | Theory of Probability & Its Applications, Vol. 26, No. 1AbstractPDF (473 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 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)Continuation of Convergence in the Central Limit TheoremH.-J. Rossberg and G. Siegel17 July 2006 | Theory of Probability & Its Applications, Vol. 20, No. 4AbstractPDF (224 KB) Volume 19, Issue 4| 1975Theory of Probability & Its Applications History Submitted:14 November 1973Published online:28 July 2006 InformationCopyright © 1975 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1119085Article page range:pp. 795-798ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics