Almost sure convergence theorems for arrays under sub-linear expectations
In this work, inspired by the extended negatively dependent arrays, we want to obtain a limit theorem on almost sure convergence relying on non-additive probabilities. Meanwhile, we offer two appropriate upper integration conditions as an application, allowing us to derive deterministic bounds based...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-08-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022978?viewType=HTML |
| _version_ | 1828749673870917632 |
|---|---|
| author | Li Wang Qunying Wu |
| author_facet | Li Wang Qunying Wu |
| author_sort | Li Wang |
| collection | DOAJ |
| description | In this work, inspired by the extended negatively dependent arrays, we want to obtain a limit theorem on almost sure convergence relying on non-additive probabilities. Meanwhile, we offer two appropriate upper integration conditions as an application, allowing us to derive deterministic bounds based on logarithm. Furthermore, these results extend the limit theorems in classical probability space. |
| first_indexed | 2024-12-10T20:26:38Z |
| format | Article |
| id | doaj.art-192f1065635b4eca9acaa59e37c91031 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T20:26:38Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-192f1065635b4eca9acaa59e37c910312022-12-22T01:34:50ZengAIMS PressAIMS Mathematics2473-69882022-08-01710177671778410.3934/math.2022978Almost sure convergence theorems for arrays under sub-linear expectationsLi Wang0Qunying Wu 1College of Science, Guilin University of Technology, Guilin 541006, ChinaCollege of Science, Guilin University of Technology, Guilin 541006, ChinaIn this work, inspired by the extended negatively dependent arrays, we want to obtain a limit theorem on almost sure convergence relying on non-additive probabilities. Meanwhile, we offer two appropriate upper integration conditions as an application, allowing us to derive deterministic bounds based on logarithm. Furthermore, these results extend the limit theorems in classical probability space.https://www.aimspress.com/article/doi/10.3934/math.2022978?viewType=HTMLsub-linear expectationalmost sure convergenceextended negative dependencelaw of the logarithmweakly mean dominated |
| spellingShingle | Li Wang Qunying Wu Almost sure convergence theorems for arrays under sub-linear expectations AIMS Mathematics sub-linear expectation almost sure convergence extended negative dependence law of the logarithm weakly mean dominated |
| title | Almost sure convergence theorems for arrays under sub-linear expectations |
| title_full | Almost sure convergence theorems for arrays under sub-linear expectations |
| title_fullStr | Almost sure convergence theorems for arrays under sub-linear expectations |
| title_full_unstemmed | Almost sure convergence theorems for arrays under sub-linear expectations |
| title_short | Almost sure convergence theorems for arrays under sub-linear expectations |
| title_sort | almost sure convergence theorems for arrays under sub linear expectations |
| topic | sub-linear expectation almost sure convergence extended negative dependence law of the logarithm weakly mean dominated |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022978?viewType=HTML |
| work_keys_str_mv | AT liwang almostsureconvergencetheoremsforarraysundersublinearexpectations AT qunyingwu almostsureconvergencetheoremsforarraysundersublinearexpectations |