The convergence rate for the laws of logarithms under sub-linear expectations
Let $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $. The necessary and sufficient conditions for the convergence rate on the laws of the logarithms and the law of the iterated...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231264?viewType=HTML |
| _version_ | 1827820014831403008 |
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| author | Qunying Wu |
| author_facet | Qunying Wu |
| author_sort | Qunying Wu |
| collection | DOAJ |
| description | Let $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $. The necessary and sufficient conditions for the convergence rate on the laws of the logarithms and the law of the iterated logarithm are obtained. |
| first_indexed | 2024-03-12T01:22:14Z |
| format | Article |
| id | doaj.art-2f610629e22f4e778eeb486cf5a248ef |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T01:22:14Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2f610629e22f4e778eeb486cf5a248ef2023-09-13T01:13:17ZengAIMS PressAIMS Mathematics2473-69882023-08-01810247862480110.3934/math.20231264The convergence rate for the laws of logarithms under sub-linear expectationsQunying Wu 0College of Science, Guilin University of Technology, Guilin 541004, ChinaLet $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $. The necessary and sufficient conditions for the convergence rate on the laws of the logarithms and the law of the iterated logarithm are obtained.https://www.aimspress.com/article/doi/10.3934/math.20231264?viewType=HTMLsub-linear expectationconvergence ratelaws of logarithmslaw of the iterated logarithm |
| spellingShingle | Qunying Wu The convergence rate for the laws of logarithms under sub-linear expectations AIMS Mathematics sub-linear expectation convergence rate laws of logarithms law of the iterated logarithm |
| title | The convergence rate for the laws of logarithms under sub-linear expectations |
| title_full | The convergence rate for the laws of logarithms under sub-linear expectations |
| title_fullStr | The convergence rate for the laws of logarithms under sub-linear expectations |
| title_full_unstemmed | The convergence rate for the laws of logarithms under sub-linear expectations |
| title_short | The convergence rate for the laws of logarithms under sub-linear expectations |
| title_sort | convergence rate for the laws of logarithms under sub linear expectations |
| topic | sub-linear expectation convergence rate laws of logarithms law of the iterated logarithm |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231264?viewType=HTML |
| work_keys_str_mv | AT qunyingwu theconvergencerateforthelawsoflogarithmsundersublinearexpectations AT qunyingwu convergencerateforthelawsoflogarithmsundersublinearexpectations |