行为两两NQD阵列加权和的L^2收敛性

Convergence properties of weighted sums for rowwise and pairwise NQD random Arrays

两两NQD列是一类非常广泛的随机变量列,后来的许多负相关联列都是由此繁衍来的。该文研究了行为两两NQD阵列加权和在弱于Cesàro一致可积和h-可积条件下的L2收敛性,改进并推广了前人的结果。

Pairwise NQD random sequence is a class of random variable sequence, which is very widespread, many of the negative dependence sequences are derived from it later. In this paper, the author discusses the L2-Convergence properties of weighted sums for rowwise and pairwise NQD random arrays under conditions weaker than Cesaro uniformly integrable conditions and h-integrability. Extended and improved the corresponding results in previous papers.