English

Strong laws of large numbers for sequences of blockwise $m$-dependent and orthogonal random variables under sublinear expectations

Probability 2025-04-17 v2

Abstract

In this paper, we establish some strong laws of large numbers (SLLN) for non-independent random variables under the framework of sublinear expectations. One of our main results is for blockwise mm-dependent random variables, and another is for orthogonal random variables. Both are the generalizations of SLLN for independent random variables in sublinear expectation spaces.

Keywords

Cite

@article{arxiv.2504.07706,
  title  = {Strong laws of large numbers for sequences of blockwise $m$-dependent and orthogonal random variables under sublinear expectations},
  author = {Jialiang Fu},
  journal= {arXiv preprint arXiv:2504.07706},
  year   = {2025}
}