Complete convergence and complete $f$-moment convergence for $m$-negatively associated random variables

Abstract

In this paper, the complete convergence and complete $f$-moment convergence for arrays of rowwise $m$-negatively associated ($m$-NA, for short) random variables are studied, which generalize and improve the corresponding ones of Hu et al. (2009) and Wang et al. (2023). The complete moment convergence for arrays of rowwise $m$-NA random variables is also obtained as an auxiliary conclusion.