Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

Abstract

Let {Xn,n�1} be a sequence of negatively superadditive dependent (NSD, in short) random variables and {ank,1� kn,n�1} be an array of real numbers. Un- der some suitable conditions, we present some results on complete convergence for weighted sums a n=1 ankXk of NSD random variables by using the Rosenthal type in- equality. The results obtained in the paper generalize some corresponding ones for independent random variables and negatively associated random variables.