@article{Liang2023, 
author = {Haiye Liang and Feng Sun},
title = {Exponential inequalities and a strong law of large numbers for END random variables under sub-linear expectations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15585-15599},
keywords = {sub-linear expectation, exponential inequality, strong law of large numbers, convergence rate, END random variables},
url = {https://www.sciopen.com/article/10.3934/math.2023795},
doi = {10.3934/math.2023795},
abstract = {The focus of our work is to investigate exponential inequalities for extended negatively dependent (END) random variables in sub-linear expectations. Through these exponential inequalities, we were able to establish the strong law of large numbers with convergence rate    O      (                  n                  −          1                      /                    2                            ln                  1                      /                    2                    ⁡      n        )  . Our findings in sub-linear expectation spaces have extended the corresponding results previously established in probability space.}
}