A maximal inequality for dependent random variables

Lita da Silva, João

http://hdl.handle.net/10362/184283

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Autores

Lita da Silva, João

Resumo(s)

For a sequence {Xn,n⩾1} of random variables satisfying E|Xn|<∞ for all n⩾1, a maximal inequality is established, and used to obtain strong law of large numbers for dependent random variables.

Descrição

Funding Information: This work is funded by national funds through the FCT—Fundação para a Ciência e a Tecnologia, I.P., under the scope of projects UIDB/04035/2020 (GeoBioTec). Publisher Copyright: © The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2025.

Palavras-chave

Dependent random variables Maximal inequality Strong law of large numbers Analysis Algebra and Number Theory Geometry and Topology Computational Mathematics Applied Mathematics