利用两两NQD列的Kolmogorov型不等式,在更广泛的条件下,讨论了两两NQD列的完全收敛性,获得了完全收敛性的一系列等价条件,推广和改进了一些文献中相应的结果,同时还得到了任意随机变量序列的完全收敛速度.
The complete convergence for sequences of pairwise NQD random variables is discussed under general- ized condition by utilizing the Kolmogorov type inequality for pairwise NQD random variables. A series of equivalence relations of the complete convergence are obtained, which improves and extends the related known works in the litera- ture. Furthermore, we obtain a complete convergence rate theorem for arbitrary random variables.