On the Moment Convergence for Weighted Sums of Pairwise NQD Random Variables

Under the condition of h-integrability with respect to an array of weights, the moment convergence for weighted sums of pairwise negative quadrant dependent random variables is studied. The authors obtain a new result, and solve the open problem in Sung et al. ,(2008) and improve the corresponding theorem of Cabrera and Volodin (2005).