Şchiopu-Kratina, Ioana; Daffer, Peter Tightness and the law of large numbers in \(D[0,1]\). (English) Zbl 0995.60006 Rev. Roum. Math. Pures Appl. 44, No. 3, 473-480 (1999). Summary: We prove that \(J^1\)-tightness is the main sufficient condition for the strong law of large numbers to hold for independent sequences of random functions in \(D[0,1]\). MSC: 60B10 Convergence of probability measures 60B12 Limit theorems for vector-valued random variables (infinite-dimensional case) Keywords:weighted sum; Skorokhod topology; law of large numbers PDFBibTeX XMLCite \textit{I. Şchiopu-Kratina} and \textit{P. Daffer}, Rev. Roum. Math. Pures Appl. 44, No. 3, 473--480 (1999; Zbl 0995.60006)