Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces

ABSTRACT

In this article, we study the complete convergence for sequences of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. We also investigate that some related results for coordinatewise negatively associated random vectors in Huan, Quang, and Thuan (2014) still hold under this concept.

KEYWORDS:

• Asymptotically negative association
• complete convergence
• coordinatewise asymptotically negative association
• coordinatewise weakly bounded
• Hilbert space.

MATHEMATICS SUBJECT CLASSIFICATION:

• 60F15

Acknowledgments

The author would like to sincerely thank the referees for their valuable comments and suggestions on previous draft, which resulted in the present version of this paper. This paper was supported by Wonkwang University in 2017.