Convergence of asymptotically almost negatively associated random variables with random coefficients

Abstract

In this paper, we investigate the complete convergence and complete moment convergence of asymptotically almost negatively associated random variables with random coefficients. The obtained results extend and improve the ones of Li, Rao, and Wang (1992), Characiejus and Račkauskas (2016) and Zhang, Chen, and Sung (2017) to the case of AANA random variables with random coefficients.

Keywords:

• AANA random variables
• complete convergence
• complete moment convergence
• random coefficients

MSC:

• 60F15

Additional information

Funding

This research is supported by the National Natural Science Foundation of China (11661029), the Support Program of the Guangxi China Science Foundation (2018GXNSFAA281011).