Complete moment convergence of extended negatively dependent random variables

Abstract

Abstract In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu et al. (Acta Math. Appl. Sin. 40(3):436–448, 2017) under some weaker conditions. Our results also improve and extend the related known works in the literature.

Keywords

• END random variables
• Weighted sums
• Complete convergence
• Complete moment convergence