TY  - JOUR
AU  - Wang, Li
AU  - Wu, Qunying
PY  - 2022
TI  - Almost sure convergence theorems for arrays under sub-linear expectations
JO  - AIMS Mathematics
SP  - 17767
EP  - 17784
VL  - 7
IS  - 10
AB  - 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.
UR  - https://doi.org/10.3934/math.2022978
DO  - 10.3934/math.2022978