1982•Theory of Probability and Its ApplicationsRequires access
Weak Law of Large Numbers for Random Fields of Random Elements
R. De Dominicis
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Abstract
Previous article Next article Weak Law of Large Numbers for Random Fields of Random ElementsR. De DominicisR. De Dominicishttps://doi.org/10.1137/1126090PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Patrick Billingsley, Convergence of probability measures, John Wiley & Sons Inc., New York, 1968xii+253 38:1718 0172.21201 Google Scholar[2] K. L. Chung, A Course in Probability Theory, Academic Press, New York, 1971 Google Scholar[3] C. Miranda, Instituzioni di Analisi Funzionzle Lineare ,V. I., U.M.I., Bologna, 1976 Google Scholar[4] W. J. Padgett and , R. L. Taylor, Laws of large numbers for normed linear spaces and certain Fréchet spaces, Springer-Verlag, Berlin, 1973vi+111 54:14060 0275.60010 CrossrefGoogle Scholar[5] W. J. Padgett and , R. L. Taylor, Almost sure convergence of weighted sums of random elements in Banach spacesProbability in Banach spaces (Proc. First Internat. Conf., Oberwolfach, 1975), Springer, Berlin, 1976, 187–202. Lecture Notes in Math., Vol. 526 56:13305 0342.60008 CrossrefGoogle Scholar[6] Robert Lee Taylor, Weak laws of large numbers in normed linear spaces, Ann. Math. Statist., 43 (1972), 1267–1274 46:10042 0241.60007 CrossrefGoogle Scholar[7] D. Wei and , R. L. Taylor, Geometrical consideration of weighted sums convergence and random weighting, Bull. Inst. Math. Acad. Sinica, 6 (1978), 49–59 58:18645 0376.60007 Google Scholar[8] E. Wong, Stochastic Processes in Information and Dynamical Systems, McGraw-Hill, New York, 1971 0245.60001 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 26, Issue 4| 1982Theory of Probability & Its Applications History Submitted:09 December 1980Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1126090Article page range:pp. 820-822ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics