On complete moment convergence of weighted sums for arrays of rowwise negatively associated random variables (Q454801)

Summary: The complete moment convergence of weighted sums for arrays of rowwise negatively associated random variables is investigated. Some sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise negatively associated random variables are established. Moreover, the results of \textit{J.-I. Baek} et al. [J. Korean Stat. Soc. 37, No. 1, 73--80 (2008; Zbl 1298.60039)], are complemented. As an application, the complete moment convergence of moving average processes based on a negatively associated random sequences is obtained, which improves the result of \textit{Y.-X. Li} and \textit{L.-X. Zhang} [ Stat. Probab. Lett. 70, No. 3, 191--197 (2004; Zbl 1056.62100)].