Strong convergence for weighted sums of Negatively Dependent Random Variables

Abstract: In this paper, we obtain some results on strong convergence of weighted sums k=1 ankXk for sequence {Xn, n ≥ 1} of negatively dependent(ND) uniformly bounded random variables, where ank n ≥ 1, k ≥ 1 is an array of real numbers such that ∑∞j=k a2nj = O(k−β) for every β> 0. Key Words:Weighted sums, Strong Law of Large Numbers,Exponential bounds. 1