On Strong Limit Theorems for Negatively Superadditive Dependent Random Variables

Abstract

In this paper, we obtain strong convergence property for Jamison weighted sums of negatively superadditive dependent (NSD, in short) random variables, which extends the famous Jamison theorem. In addition, some sufficient conditions for complete convergence for weighed sums of NSD random variables are presented. These results generalize the corresponding results for  independent identically distributed random variables to the case of NSD random variables without assumption of identical distribution.