Almost sure convergence for a class of dependent random variables under sub-linear expectations

Baozhen Wang; Qunying Wu; Baozhen Wang; Qunying Wu

doi:10.3934/math.2024838

AIMS Mathematics

2024, Volume 9, Issue 7: 17259-17275. doi: 10.3934/math.2024838

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Almost sure convergence for a class of dependent random variables under sub-linear expectations

Baozhen Wang ^1,2,
Qunying Wu ^{1,2
,
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1.
School of Mathematics and Statistics, Guilin University of Technology, Guilin 541006, China
2.
Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin 541004, China

Received: 06 February 2024 Revised: 05 April 2024 Accepted: 14 May 2024 Published: 20 May 2024
MSC : 60F15

This article aimed to investigate the almost sure convergence theorem of widely negative orthant dependent (WNOD) random variables under sub-linear expectation space. The conclusions in this essay are an extension of the corresponding conclusions in the classical probability space.
- widely negative orthant dependent,
- almost sure convergence,
- sub-linear expectation
Citation: Baozhen Wang, Qunying Wu. Almost sure convergence for a class of dependent random variables under sub-linear expectations[J]. AIMS Mathematics, 2024, 9(7): 17259-17275. doi: 10.3934/math.2024838

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Abstract

This article aimed to investigate the almost sure convergence theorem of widely negative orthant dependent (WNOD) random variables under sub-linear expectation space. The conclusions in this essay are an extension of the corresponding conclusions in the classical probability space.

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