Let be a sequence of independent random elements with values in a separable Banach space, and a sequence of nonnegative numbers. There is proved a criterion for the almost sure convergence of the series . The special case is also studied.
Cite this article
Thomas Mikosch, On the Convergence of Some Random Series. Z. Anal. Anwend. 6 (1987), no. 2, pp. 183–187