讨论了NOD随机变量序列加权和的矩完全收敛性,获得了NOD随机变量序列加权和的矩完全收敛性的充要条件.这些结论显示了矩完全收敛性和矩条件之间的等价关系,同时推广了Wu Qunying(2011)的结果.
In this paper, the complete moment convergence for weighted sums of sequences of NOD random variables is discussed, and the sufficient and necessary conditions for complete moment convergence of weighted sums of sequences of NOD random variables are obtained. These results show the equivalent relationship between the complete moment convergence and the moment condition, and improve the conclusions in Wu Qunying(2011).