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AIMS Mathematics
Article . 2023 . Peer-reviewed
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AIMS Mathematics
Article . 2023
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The convergence rate for the laws of logarithms under sub-linear expectations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 8, pages 24,786-24,801 (issn: 2473-6988, Copyright policy )
Authors: Qunying Wu;

doi: 10.3934/math.20231264

The convergence rate for the laws of logarithms under sub-linear expectations

Abstract

<abstract><p>Let $ \{X_n; n\geq1\} $ be a sequence of independent and identically distributed random variables in a sub-linear expectation space $ (\Omega, \mathcal{H}, \hat{\mathbb{E}}) $. The necessary and sufficient conditions for the convergence rate on the laws of the logarithms and the law of the iterated logarithm are obtained.</p></abstract>

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Keywords

convergence rate, QA1-939, sub-linear expectation, laws of logarithms, Mathematics, law of the iterated logarithm

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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