On the Limit Behavior of Sums of Random Vectors with Values in Hilbert Space

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Previous article Next article On the Limit Behavior of Sums of Random Vectors with Values in Hilbert SpaceE. R. VvedenskayaE. R. Vvedenskayahttps://doi.org/10.1137/1129086PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. R. Vvedenskaya, Sums of random vectors with values in Hilbert space, Theory Prob. Appl., 28 (1983), 797–800 0544.60016 LinkGoogle Scholar[2] E. R. Vvedenskaya, On the existence of exact upper sequences, Theory Prob. Appl., 29 (1984), 0557.60026 Google Scholar[3] A. N. Kolmogorov, Über das Gesetz des iterierten Logarithmus, Math. Ann., 109 (1928), 26–37 Google Scholar[4] V. V. Yurinskii, On the infinite-dimensional version of S. N. Bernstein's inequalities, Theory Prob. Appl., 15 (1970), 108–109 LinkGoogle Scholar[5] W. Feller, A limit theorem for random variables with infinite moments, Amer. J. Math., 68 (1946), 257–262 8,37a 0060.28704 CrossrefGoogle Scholar[6] C. C. Heyde, A note concerning behaviour of iterated logarithm type, Proc. Amer. Math. Soc., 23 (1969), 85–90 40:4999 0185.46901 CrossrefGoogle Scholar[7] Harry Kesten, Sums of independent random variables—without moment conditions, Ann. Math. Statist., 43 (1972), 701–732 46:941 0267.60053 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On the Monotonicity of Exact Upper Sequences for Sums of Independent Random Vectors in Hilbert SpaceE. R. VvedenskayaTheory of Probability & Its Applications, Vol. 33, No. 1 | 17 July 2006AbstractPDF (330 KB) Volume 29, Issue 3| 1985Theory of Probability & Its Applications427-645 History Submitted:12 April 1984Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1129086Article page range:pp. 620-622ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics