Complete Moment Convergence for Sung’s Type Weighted Sums of ρ* -Mixing Random Variables

Abstract

In this paper, the authors study a complete moment convergence result for Sung's type weighted sums of $\rho^*$-mixing random variables. This result extends and improves the corresponding theorem of Sung [S.H. Sung,  Complete convergence for weighted sums of $\rho^*$-mixing random variables, Discrete Dyn. Nat. Soc. 2010 (2010), Article ID 630608, 13 pages].