Almost sure convergence theorems for arrays under sub-linear expectations

Almost sure convergence theorems for arrays under sub-linear expectations

In this work, inspired by the extended negatively dependent arrays, we want to obtain a limit theorem on almost sure convergence relying on non-additive probabilities. Meanwhile, we offer two appropriate upper integration conditions as an application, allowing us to derive deterministic bounds based...

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Bibliographic Details
Main Authors: Li Wang, Qunying Wu
Format: Article
Language:English
Published: AIMS Press 2022-08-01
Series:AIMS Mathematics
Subjects:
sub-linear expectation
almost sure convergence
extended negative dependence
law of the logarithm
weakly mean dominated
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022978?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022978?viewType=HTML

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