Displaying similar documents to “A note on convergence of weighted sums of random variables.”

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

Haiwu Huang, Linyan Li, Xuewen Lu (2020)

Kybernetika

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