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

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. Ap...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2021; no. 1; pp. 1 - 16
Main Authors Chen, Pingyan, Sung, Soo Hak
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 06.03.2021
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Complete convergence
Convergence
Dependent variables
Mathematics
Mathematics and Statistics
Numbers
Random variables
Strong law of large numbers
Sums
Weighted sum
Widely orthant-dependent random variable
Widely orthant-dependent random variable
Weighted sum
Complete convergence
Strong law of large numbers
60F15
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Summary: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 ).
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02574-2