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

Journal of inequalities and applications

Soo Hak Sung¹  Pingyan Chen² 

[1] Department of Applied Mathematics, Pai Chai University, 35345, Daejeon, South Korea;Department of Mathematics, Jinan University, 510630, Guangzhou, P.R. China;

关键词: Complete convergence;    Strong law of large numbers;    Weighted sum;    Widely orthant-dependent random variable;    60F15;   

DOI  :  10.1186/s13660-021-02574-2

来源: Springer

【 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).

【 授权许可】

CC BY