Complete f-moment convergence for extended negatively dependent random variables

Abstract

In this paper, we study the complete f-moment convergence for arrays of rowwise extended negatively dependent (END) random variables. A general result on the complete moment convergence for arrays of rowwise END random variables is established, which generalizes and improves the corresponding ones of Wu et al. (Glasnik Matematicki 49(69):447–466, 2014) and Hu et al. (Sankhya A 77(1):1–29, 2015). As applications, we present some new results on complete moment convergence for END random variables.