This article is cited in 14 papers

The law of iterated logarithm for Cesaro's and Abel's methods of summation

V. F. Gaposhkin

Moscow

Abstract: Let $\{x_k\}$ be a set of independent random variables bounded in common with means 0 and variations 1. The analogues of the law of iterated logarithm for the $(C,\alpha)$ $(\alpha>0)$ and $A$ methods of summation are proved (see theorems 2 and 3).

Received: 25.11.1964

 English version: Theory of Probability and its Applications, 1965, 10:3, 411–420

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