Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables

ABSTRACT

In this paper, some complete convergence and complete moment convergence results for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables are studied. The obtained theorems not only extend the result of Gan and Chen (2007) to the case of NSD random variables, but also improve them.

KEYWORDS:

• Complete convergence
• complete moment convergence
• negatively superadditive dependent random variables.

MATHEMATICS SUBJECT CLASSIFICATION:

• 60F15

Acknowledgments

The authors greatly appreciate both Prof. N. Balakrishnan and the referees for their valuable comments and some helpful suggestions that improved the clarity and readability of this paper.

Additional information

Funding

This research is supported by the National Natural Science Foundation of China (71271042; 11661029; 11661030; 71501025) and Applied Basic Project of Sichuan Province (2016JY0257).