Strong laws of large numbers for sequences of blockwise $m$-dependent and orthogonal random variables under sublinear expectations
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917986614378496 |
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| author | Fu, Jialiang |
| author_facet | Fu, Jialiang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong laws of large numbers for sequences of blockwise $m$-dependent and orthogonal random variables under sublinear expectations Fu, Jialiang Probability 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. |
| title | Strong laws of large numbers for sequences of blockwise $m$-dependent and orthogonal random variables under sublinear expectations |
| topic | Probability |
| url | https://arxiv.org/abs/2504.07706 |