讨论了NOD随机变量序列加权和的矩完全收敛性.利用矩不等式和截尾法,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.既然NA随机变量序列是NOD随机变量序列的特殊情形,因此,也建立了NA随机变量序列加权和的矩完全收敛性的充要条件.  这些结果深化并推广了相关文献已有的结果.

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. Since NA random variables are a special case of NOD random variables, the sufficient and necessary conditions for complete moment con- vergence of weighted sums of sequences of NA random variables are also established. These results promote and improve some conclusions in related literatures.