ON THE STRONG LAW OF LARGE NUMBERS FOR SEQUENCES OF PAIRWISE INDEPENDENT RANDOM VARIABLES

摘要

We establish new sufficient conditions for the applicability of the strong law of large numbers (SLLN) for sequences of pairwise independent, nonidentically distributed random variables. These results generalize Etemadi's extension of Kolmogorov's SLLN for identically distributed random variables. Some of the obtained results hold with an arbitrary norminq sequence in place of the classical normalization.