Central Limit Theorem and Law of Large Numbers in the Mean
Виктор Макарович Круглов · Theory of Probability and Its Applications · 1982
Previous article Next article Central Limit Theorem and Law of Large Numbers in the MeanV. M. KruglovV. M. Kruglovhttps://doi.org/10.1137/1126088PDFBibTexSections 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 16,52d 0056.36001 Google Scholar[2] V. M. Kruglov, Convergence of numerical characteristics of sums of independent random variables with values in Hilbert space, Theory Prob. Appl., 18 (1973), 694–712 0321.60045 LinkGoogle Scholar[3] V. M. Kruglov, The central limit theorem and the law of large numbers, Mat. Zametki, 30 (1981), 583–593, 638, (In Russian.) 83d:60032b 0475.60017 Google Scholar[4] Peter Hall, On the duality between the behaviour of sums of independent random variables and the sums of their squares, Math. Proc. Cambridge Philos. Soc., 84 (1978), 117–121 58:7791 0378.60020 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 26, Issue 4| 1982Theory of Probability & Its Applications History Submitted:10 May 1979Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1126088Article page range:pp. 813-815ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics