On Necessary and Sufficient Conditions for the Strong Law of Large Numbers

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Next article On Necessary and Sufficient Conditions for the Strong Law of Large NumbersS. V. NagaevS. V. Nagaevhttps://doi.org/10.1137/1117072PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Yu. V. Prokhorov, Strong stability of sums and infinitely divisible distributions, Theory Prob. Applications, 3 (1958), 141–153 10.1137/1103013 LinkGoogle Scholar[2] Yu. V. Prohorov, On the strong law of large numbers, Izvestiya Akad. Nauk SSSR. Ser. Mat., 14 (1950), 523–536, (In Russian.) MR0038592 (12,425c) Google Scholar[3] Yu. V. Prokhorov, Some remarks on the strong law of large numbers, Theor. Probability Appl., 4 (1959), 204–208 10.1137/1104018 MR0121858 (22:12588) 0089.13903 LinkGoogle Scholar[4] Pál Révész, The laws of large numbers, Probability and Mathematical Statistics, Vol. 4, Academic Press, New York, 1968, 176–, London MR0245079 (39:6391) 0203.50403 Google Scholar[5] Michel Loève, Probability theory, Third edition, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1963xvi+685 MR0203748 (34:3596) 0108.14202 Google Scholar Next article FiguresRelatedReferencesCited byDetails A Generalization of the Kolmogorov Theorem on the Law of the Iterated LogarithmL. V. Rozovskii17 February 2012 | Theory of Probability & Its Applications, Vol. 42, No. 1AbstractPDF (121 KB)Limit Theorems for Independent Random Variables Cross Ref Almost sure behaviour ofF-valued random fieldsProbability Theory and Related Fields, Vol. 93, No. 3 Cross Ref The Strong Law of Large Numbers Cross Ref A Note on the Strong Law of Large Numbers for Partial Sums of Independent Random Vectors**Most of this paper has been written while the author was working at the Fachbereich Mathematik WE 1, Freie Universität Berlin. Cross Ref The Work of A. N. Komogorov on Strong Limit TheoremsN. H. Bingham17 July 2006 | Theory of Probability & Its Applications, Vol. 34, No. 1AbstractPDF (1280 KB)Sur la loi des grands nombres de Nagaev en dimension infinie Cross Ref A Law of Large Numbers for Random Vectors having Large Norms Cross Ref Limit Theorems for Independent Random Variables Cross Ref Book Reviews28 June 2008 | Australian Journal of Statistics, Vol. 23, No. 1 Cross Ref On Necessary and Sufficient Conditions for the Strong Law of Large NumbersA. I. Martikainen17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (726 KB)A Remark on the Strong Law of Large NumbersN. A. Volodin and S. V. Nagaev17 July 2006 | Theory of Probability & Its Applications, Vol. 22, No. 4AbstractPDF (333 KB)Limit Theorems for Independent Random Variables Cross Ref On the Strong Law of Large NumbersS. V. Nagaev and N. A. Volodin17 July 2006 | Theory of Probability & Its Applications, Vol. 20, No. 3AbstractPDF (402 KB)The Behavior of Sums of Independent Random VariablesV. M. Kruglov28 July 2006 | Theory of Probability & Its Applications, Vol. 19, No. 2AbstractPDF (506 KB) Volume 17, Issue 4| 1973Theory of Probability & Its Applications History Submitted:12 April 1971Published online:28 July 2006 InformationCopyright © 1973 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1117072Article page range:pp. 573-581ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics