On asymptotic behaviors and convergence rates related to weak limiting distributions of geometric random sums

Tran Loc Hung; Phan Tri Kien; Nguyen Tan Nhut

Displaying similar documents to “On asymptotic behaviors and convergence rates related to weak limiting distributions of geometric random sums”

On complete convergence for randomly indexed sums for a case without identical distributions.

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

Haiwu Huang, Linyan Li, Xuewen Lu (2020)

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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.

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Strong Convergence for weighed sums of negatively superadditive dependent random variables

Zhiyong Chen, Haibin Wang, Xuejun Wang, Shuhe Hu (2016)

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In this paper, the strong law of large numbers for weighted sums of negatively superadditive dependent (NSD, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng ([2]) for independent and identically distributed random variables to the case of NSD random variables.