Some strong limit theorems of weighted sums for negatively dependent generalized Gaussian random variables

In this paper, we study strong convergence of weighted sums ∑k=1nankXk, where {Xn,n⩾1}{Xn,n⩾1} is a sequence of negative dependence, generalized Gaussian random variables and ankank, n⩾1n⩾1, k⩾1k⩾1 is an array of real numbers such that, ∑j=k∞anj2=O(k-β) for β>0β>0 and every n⩾1n⩾1.