This article is cited in 3 papers

Short Communications

On a method of proving of theorems on the law of the iterated logarithm

V. A. Egorov

Leningrad

Abstract: Let $\{X_n\}$ be a sequence of independent Banach-spacevalued random variables. The connection between the law of the iterated logarithm for $\{X_n\}$ and the law of large numbers for $\{\|X_n\|^2\}$ is investigated.

Received: 25.03.1980

 English version: Theory of Probability and its Applications, 1985, 29:1, 126–132

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