Bull. Korean Math. Soc. 2006; 43(1): 169-178
Printed March 1, 2006
Copyright © The Korean Mathematical Society.
Mi-Hwa Ko, Dae-Hee Ryu, and Tae-Sung Kim
Seoul National University, ChungWoon University, WonKwang University
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
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