Complete convergence theorems for arrays of row-wise extended negatively dependent random variables under sub-linear expectations

Abstract

The goal of this paper is to establish complete convergence theorems for an array of row-wise END random variables under sub-linear expectation space. As applications of the exponential inequalities, we extend some complete convergence theorems from the traditional probability space to the sub-linear expectation space and our results generalize corresponding results obtained by Hu.

Keywords:

• complete convergence
• END random variables
• sub-linear expectation

2010/2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 60F15

Acknowledgements

The authors are grateful to the editors and referees for their helpful comments and suggestions.

Data availability

No data were used to support this study.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (12061028) and the Support Program of the Guangxi China Science Foundation (2018GXNSFAA281011).