COMPLETE CONVERGENCE FOR SEQUENCES OF PAIRWISE M-DEPENDENT RANDOM VARIABLES

Abstract

In this paper, we establish the complete convergence for maximum  partial sums and strong law of large numbers for sequences of pairwise m-dependent random variables with uniformly integrable in the sense of Cesàro. Our result extends a result in  [1] of  the complete convergence for maximum  partial sums and strong law of large numbers for sequences of pairwise independent random variables.