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On the Law of Large Numbers for non-equally distributed weakly dependent random variables

Probability 2025-10-07 v2

Abstract

Three versions of the Weak Law of Large Numbers are proposed for weakly dependent and generally speaking non-equally distributed random variables, with finite or possibly infinite expectations.

Keywords

Cite

@article{arxiv.2405.17850,
  title  = {On the Law of Large Numbers for non-equally distributed weakly dependent random variables},
  author = {Alina Akhmiarova and Alexander Veretennikov},
  journal= {arXiv preprint arXiv:2405.17850},
  year   = {2025}
}

Comments

13 pages, 16 references, in Russian