On the Strong Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

Lulu Zheng, Xuejun Wang, Wenzhi Yang

In this paper, we present some results on the complete convergence for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables by using the Rosenthal-type maximal inequality, Kolmogorov exponential inequality and the truncation 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.