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- W2019174247 abstract "Previous article Next article Comparison Theorems for Random Series in Banach Spaces and Some Schemes of SummationV. V. Buldygin and N. A. PidsukhaV. V. Buldygin and N. A. Pidsukhahttps://doi.org/10.1137/1123002PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Jørgen Hoffmann-Jørgensen, Sums of independent Banach space valued random variables, Studia Math., 52 (1974), 159–186 MR0356155 0265.60005 CrossrefGoogle Scholar[2] V. V. Buldygin, On the Lévy inequality for random variables in a Banach space, Theory Prob. Applications, 19 (1974), 156–159 10.1137/1119013 0325.60004 LinkGoogle Scholar[3] Kiyosi Itô and , Makiko Nisio, On the convergence of sums of independent Banach space valued random variables, Osaka J. Math., 5 (1968), 35–48 MR0235593 0177.45102 Google Scholar[4] V. V. Buldygin, The convergence of random sequences with values in a Banach space, Dokl. Akad. Nauk SSSR, 213 (1973), 1012–1014, (In Russian.) MR0336773 Google Scholar[5] Naresh C. Jain and , M. B. Marcus, Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions, Ann. Inst. Fourier (Grenoble), 24 (1974), vi, 117–141 MR0413239 0283.60041 CrossrefGoogle Scholar[6] Jean-Pierre Kahane, Some random series of functions, D. C. Heath and Co. Raytheon Education Co., Lexington, Mass., 1968viii+184 MR0254888 0192.53801 Google Scholar[7] V. V. Buldygin, Certain properties of random series in Banach spaces, Teor. Verojatnost. i Mat. Statist., (1973), 37–46, 174, (In Russian.) MR0413214 Google Scholar[8] V. V. Buldygin, On random series in a Banach space, Theory Prob. Applications, 18 (1973), 464–475 10.1137/1118061 0303.60004 LinkGoogle Scholar[9] N. N. Vakhaniya, Probability Distributions in Linear Spaces, Metsniereba, Tbilisi, 1971, (In Russian.) Google Scholar[10] R. M. Dudley, The sizes of compact subsets of Hilbert space and continuity of Gaussian processes, J. Functional Analysis, 1 (1967), 290–330 10.1016/0022-1236(67)90017-1 MR0220340 0188.20502 CrossrefGoogle Scholar[11] V. V. Buldygin, Sub-Gaussian processes and the convergence of random series in function spaces, Ukrain. Mat. Ž., 29 (1977), 443–454, 563, (In Russian.) MR0482906 0419.60037 Google Scholar[12] W. Fleisher, On Glavk's theorem, Ber. Forshungsinst. Oberwolfach, 5 (1974), 41–45 Google Scholar[13] W. Linde and , A. Pietsch, Mappings of Gaussian cylindrical measures in Banach spaces, Theory Prob. Applications, 19 (1974), 445–460 10.1137/1119054 0312.60005 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails The Contraction Principle and the Strong Law of Large Numbers for Weighted SumsV. V. Buldygin and S. A. SolntsevTheory of Probability & Its Applications, Vol. 31, No. 3 | 28 July 2006AbstractPDF (1191 KB) Volume 23, Issue 1| 1978Theory of Probability & Its Applications1-226 History Submitted:13 September 1976Published online:17 July 2006 InformationCopyright © 1978 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1123002Article page range:pp. 22-35ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics" @default.
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