Journal of Mathematical Sciences

, Volume 244, Issue 5, pp 805–810 | Cite as

On the Strong Law of Large Numbers for Sequences of Pairwise Independent Random Variables

  • V. M. KorchevskyEmail author

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 norming sequence in place of the classical normalization.


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© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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