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On Strong Law of Large Numbers for pairwise independent random variables

Probability 2025-03-27 v5

Abstract

A new version of a Strong Law of Large Numbers is proposed in this note for pairwise independent random variables. The main goal is to relax the assumption on a finite expectation for each term.

Keywords

Cite

@article{arxiv.2211.04435,
  title  = {On Strong Law of Large Numbers for pairwise independent random variables},
  author = {Alina Akhmiarova and Alexander Veretennikov},
  journal= {arXiv preprint arXiv:2211.04435},
  year   = {2025}
}

Comments

14 pages, 30 references