Complete convergence for weighted sums of widely orthant-dependent random variables

被引：0
作者：
Pingyan Chen
Soo Hak Sung
机构：
[1] Jinan University,Department of Mathematics
[2] Pai Chai University,Department of Applied Mathematics
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Complete convergence; Strong law of large numbers; Weighted sum; Widely orthant-dependent random variable; 60F15;
D O I：
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摘要：
The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize some results of Chen and Sung (J. Inequal. Appl. 2018:121, 2018), Zhang et al. (J. Math. Inequal. 12:1063–1074, 2018), Chen and Sung (Stat. Probab. Lett. 154:108544, 2019), Lang et al. (Rev. Mat. Complut., 2020, https://doi.org/10.1007/s13163-020-00369-5), and Liang (Stat. Probab. Lett. 48:317–325, 2000).
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