Complete moment convergence for randomly weighted sums of negatively superadditive dependent random variables

Abstract

In this article, the complete moment convergence for randomly weighted sums of negatively superadditive dependent (NSD, for short) random variables is studied. Several sufficient conditions of the complete moment convergence for randomly weighted sums of NSD random variables are presented. The results obtained in the article extend some corresponding ones in the literature.

Keywords:

• Complete convergence
• Complete moment convergence
• NSD random variables
• Randomly weighted sums

MSC:

• 60F15

Acknowledgments

The authors are most grateful to the Editor and anonymous referee for carefully reading the manuscript and for valuable suggestions which helped in improving an earlier version of this article.

Additional information

Funding

This work was funded by Supported by the National Natural Science Foundation of China (11871072) and the Natural Science Foundation of Anhui Province (2108085MA06).