an:06014514
Zbl 1235.60026
Wang, Xuejun; Hu, Shuhe; Yang, Wenzhi
Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables
EN
Discrete Dyn. Nat. Soc. 2011, Article ID 717126, 11 p. (2011).
00274019
2011
j
60F15
complete convergence; Marcinkiewicz-Zygmund type strong law of large numbers; asymptotically almost negatively associated random variables
Summary: Let \(\{X_{ni}, i \geq 1, n \geq 1\}\) be an array of rowwise asymptotically almost negatively associated random variables. Sufficient conditions for complete convergence for arrays of rowwise asymptotically almost negatively associated random variables are presented without the assumption of identical distribution. As an application, a Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of asymptotically almost negatively associated random variables is obtained.