On the type hypothesis for the strong law of large numbers

Victor Hernández and Juan J. Romo

Statistics & Probability Letters, 1987, vol. 5, issue 3, 193-195

Abstract: If B is a separable Banach space, we prove that, for every sequence of B-valued independent identically distributed random vectors, the generalizations of the Pyke-Root, Baum-Katz and Marcinkiewicz-Zygmund theorems are equivalent.

Keywords: strong; law; of; large; number; of; Marcinkiewicz; and; Zygmund; spaces; of; Rademacher; type; [alpha] (search for similar items in EconPapers)
Date: 1987
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