Journal of the
Korean Mathematical Society JKMS

For double arrays of constants $\{a_{ni}, ~ 1\leq i \leq k_n,~n\geq 1 \}$ and sequences of negatively orthant dependent random variables $\{X_n,~ n\geq 1\}$, the conditions for strong law of large number of $\sum_{i=1}^{k_n} a_{ni} X_i $ are given. Both cases $k_n \uparrow \infty$ and $k_n=\infty$ are treated.

Keywords: negatively quadrant dependent, negatively orthant dependent, strong law of large number, weighted sum, double array, stochastically dominated

MSC numbers: 60F15