Wang, Dingcheng; Zhao, Wu Moment complete convergence for sums of a sequence of NA random variables. (Chinese. English summary) Zbl 1137.60320 Appl. Math., Ser. A (Chin. Ed.) 21, No. 4, 445-450 (2006). Summary: The moment complete convergence for sums of a sequence of NA random variables is discussed, and the sufficient and necessary condition for moment complete convergence of a NA sequence is obtained under certain conditions. This result shows the equivalent relationship between the rates of moment convergence and the moment condition of random variables. This result is consistent with that for a sequence of independent random variables. Cited in 13 Documents MSC: 60F15 Strong limit theorems Keywords:NA sequence; sum of random variables; moment complete convergence PDF BibTeX XML Cite \textit{D. Wang} and \textit{W. Zhao}, Appl. Math., Ser. A (Chin. Ed.) 21, No. 4, 445--450 (2006; Zbl 1137.60320)