Journal of the
Korean Mathematical Society JKMS

Let $\{X_{ni}\,|\, 1 \le i \le n,\, n \ge 1 \}$ be an array of rowwise negatively dependent $(ND)$ random variables. We in this paper discuss the conditions of $\sum_{i=1}^{n} a_{ni} X_{ni} \rightarrow 0 $ completely as $n \rightarrow \infty$ under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.

Keywords: complete convergence, Negatively dependent random variables, arrays, uniformly bounded random variable, strong convergence, weak convergence

MSC numbers: Primary 60F05; Secondary 62E10, 45E10