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Letbe sequence of random variables with  EY n= 0. Assume that the Kolmogrov type exponential inequality is satisfied forwith any  x  &gt; 0. In this paper, the law of the logarithm and law of the iterated logarithm for a class of random variables satisfying the Kolmogrov type exponential inequality with non-identical distributions are obtained. The main results not only extend the known results from NA case to a class of random variables satisfying Kolmogrov type exponential inequality, but also weaken the moment assumptions.

Law of the logarithm and law of the iterated logarithm for a class of random variables with non-identical distributions