×

Tightness and the law of large numbers in \(D[0,1]\). (English) Zbl 0995.60006

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)
PDFBibTeX XMLCite