两两NQD随机场的完全收敛性
The Complete Convergence of Pairwise NQD Random Fields

在同分布两两NQD列的Baum-Katz完全收敛定理的基础上,主要研究并得到两两NQD随机场的完全收敛性,即多指标变量集下两两NQD的随机变量的完全收敛性,其中该指标集是关于坐标方向的偏序“≤”的d-维正整数网格点集.
On the basis of Baum-Katz complete convergence of Pairwise NQD sequences with the same distribution,complete convergence of Pairwise NQD random fields are mainly discussed and gained,namely the complete convergence of Pairwise NQD random variables for multiindexed summands Z+,which is the positive integer d-dimensional lattice points with partial ordering ≤