Limit theorems for negatively superadditive-dependent random variables with infinite or finite means

Yongfeng Wu; Yongfeng Wu

doi:10.3934/math.20231291

AIMS Mathematics

2023, Volume 8, Issue 11: 25311-25324. doi: 10.3934/math.20231291

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Research article

Limit theorems for negatively superadditive-dependent random variables with infinite or finite means

Yongfeng Wu ^{1,2
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1.
School of Mathematics and Computer Science, Tongling University, Tongling 244000, China
2.
School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, China

Received: 09 July 2023 Revised: 09 August 2023 Accepted: 22 August 2023 Published: 30 August 2023
MSC : 60F05, 60F15

The author studies the laws of large numbers for weighted sums of negatively superadditive-dependent random variables. The obtained results in this paper extend and improve the corresponding theorems of Yang et al. [Commun. Stat. Theor. M., 48 (2019), 3044-3054]. Moreover, the author obtains a new theorem of mean convergence for weighted sums of negatively superadditive-dependent random variables, which was not considered in Yang et al. (2019).
- law of large numbers,
- mean convergence,
- negatively superadditive-dependent
Citation: Yongfeng Wu. Limit theorems for negatively superadditive-dependent random variables with infinite or finite means[J]. AIMS Mathematics, 2023, 8(11): 25311-25324. doi: 10.3934/math.20231291

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Abstract

The author studies the laws of large numbers for weighted sums of negatively superadditive-dependent random variables. The obtained results in this paper extend and improve the corresponding theorems of Yang et al. [Commun. Stat. Theor. M., 48 (2019), 3044-3054]. Moreover, the author obtains a new theorem of mean convergence for weighted sums of negatively superadditive-dependent random variables, which was not considered in Yang et al. (2019).

References

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