Complete Convergence and Complete Moment Convergence for Extended Negatively Dependent Random Variables

Abstract

In this paper, we provide some probability and moment inequalities (especially the Marcinkiewicz-Zygmund type inequality)
for extended negatively dependent (END, in short) random variables.
By using the Marcinkiewicz-Zygmund type inequality and the truncated
method, we investigate the complete convergence for sums and
weighted sums of arrays of rowwise END random variables. In
addition, the complete moment convergence for END random variables
is obtained. Our results generalize and improve the corresponding
ones of Wang et al. (2013a).