Convergence of the tail probability for weighted sums of negatively orthant dependent random variables

摘要

In this research, strong convergence properties of the tail probability for weighted sumsof negatively orthant dependent random variables are discussed. Some sharp theorems forweighted sums of arrays of rowwise negatively orthant dependent random variables are estab-lished. These results not only extend the corresponding ones of Cai [4], Wang et al. [19] andShen [13], but also improve them, respectively.