Communications of the
Korean Mathematical Society CKMS

In this paper we derive the almost sure convergence of weighted sums of 2-dimensional arrays of random variables which are either pairwise positive quadrant dependent or associated. Our results imply an extension of Etemadi's (1983) strong laws of large numbers for weighted sums of nonnegative random variables to the 2-dimensional case.

Keywords: positive quadrant dependent random variables, associated random variables, almost sure convergence, weighted sums, 2-dimensional array of random variables

MSC numbers: 60F15