Bulletin of the
Korean Mathematical Society BKMS

For double arrays of constants $\{a_{ni},~1\leq i \leq k_n,~n \geq 1\}$ and sequences $\{X_n, n\geq 1\}$ of asymptotically almost negatively associated (AANA) random variables the almost sure convergence of $\sum_{i=1}^{k_n}a_{ni}X_i$ is derived.

Keywords: almost sure convergence, double arrays, asymptotically almost negatively associated, weighted sums

MSC numbers: 60F15