On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables

摘要

In this paper,we investigate the complete moment convergence and com-plete convergence for randomly weighted sums of negatively superadditive depen-dent(NSD,in short)random variables.The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables.In addition,strong law of large numbers for NSD se-quence is obtained.