Complete and complete integral convergence for arrays of row wise widely negative dependent random variables under the sub-linear expectations

Abstract

In this article, complete and complete integral convergence theorems are obtained for arrays of row wise widely negative dependent random variables under the sub-linear expectations. We improve the results by (Lin and Feng 2019) and extend some complete moment convergence theorems in (Wu, Wang, and Rosalsky 2018) from the classical probability space to the sub-linear expectation space.

Keywords:

• Complete convergence
• complete integral convergence
• sub-linear expectation
• widely negative dependence

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 60F15
• 60F20
• 60F25

Additional information

Funding

The research of the first author was supported by the National Natural Science Foundation of China (Grant No. 11571058), the Fundamental Research Funds for the Central Universities (Grant No. DUT18LK18).