两两NQD阵列加权和的L^2-收敛性

L^2-convergence properties of weighted sums for pairwise NQD random sequences

利用两两NQD列的Kolmogorov不等式,讨论了两两NQD阵列的加权和在Ces?ro一致可积、(H1)或(H2)条件下的L2-收敛性,改进并推广了鞅差阵列加权和的相应结果.

Extended the Kolmogorov- type inequality to the case of pairwise NQD random sequneces at first. Then,discussed the weighted sums of pairwise NQD random sequences, and studied its L^2 -convergence properties and the condition of Ces No. ro - uniformly integra, （ H1 ） or （ H2 ）. Extended and improved corresponding results of Martingle error.