Abstract:
The Lévy inequality for independent Banach-space-valued random variables is proved, its applications to convergence of series of independent Gaussian variables in a Banach space are given.
Citation:
V. V. Buldygin, “On the Lévy inequality for random variables in a Banach space”, Teor. Veroyatnost. i Primenen., 19:1 (1974), 154–158; Theory Probab. Appl., 19:1 (1974), 156–159