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

Jialiang Fu

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arXiv · 2504.07706

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

Jialiang Fu

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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 $m$-dependent random variables, and another is for orthogonal random variables. Both are the generalizations of SLLN for independent random variables in sublinear expectation spaces.

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Jialiang Fu. 2025-04-10. Strong laws of large numbers for sequences of blockwise $m$-dependent and orthogonal random variables under sublinear expectations. https://arxiv.org/abs/2504.07706

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