On the Strong Convergence forWeighted Sums of Negatively Superadditive Dependent Random Variables

Abstract

In this paper, we present some results on the
complete convergence for arrays of rowwise negatively superadditive
dependent (NSD) random variables by using the Rosenthal-type maximal
inequality, Kolmogorov exponential inequality and the truncated
method. The results obtained in the paper extend the corresponding
ones for weighted sums of negatively associated random variables
with identical distribution to the case of arrays of rowwise NSD
random variables without identical distribution.