本文研究了行为负相依随机变量阵列加权和的$q$阶矩完全收敛性. 利用矩不等式和截尾的方法, 获得了行为负相依随机变量阵列加权和的$q$阶矩完全收敛性的充分条件. 利用这些充分条件, 不仅能推广和深化Baek 等(2008), 吴群英(2012)和梁汉营等(2010)的结论, 而且极大地简化了他们的证明过程.

In this paper, the complete $q$th moment convergence of weighted sums for arrays of rowwise negatively dependent random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete $q$th moment convergence of weighted sums for arrays of rowwise negatively dependent random variables are obtained. By using the sufficient conditions, we not only generalize and extend the corresponding results of Baek, et al. (2008), Wu (2012) and Liang et al. (2010), but also greatly simplify their proofs.