利用ρ-混合序列的Rosenthal型最大值不等式,讨论了ρ-混合随机变量阵列加权和的完全收敛性,所得结果,推广了行独立随机变量阵列相应的结果,且得到了NA,ρ+混合随机变量阵列加权和完全收敛性的一些推论。
Using a Rosenthal-type inequality of partial sums for ρ-mixing random variables, the complete convergence of weighted sums for arrays of rowwise ρ -mixing random variables was studied. The results obtained can extend the corresponding results of arrays of row-wise independent random variables, and some complete convergence corollaries for weighted sums for arrays of row-wise NA and p + -mixing random variables.