A maximal inequality for dependent random variables

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.

Publication Details

Journal
Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)
Published
2025-02-20
Primary Topic
Probability and Risk Models
Type
article
Field-Weighted Citation Impact
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article

A maximal inequality for dependent random variables

Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)
Probability and Risk Models
article

A maximal inequality for dependent random variables

article en

Abstract

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.

Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)
Openalex Percentile: Top 32%
Probability and Risk Models
Open Access PDFOpenAlex
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A maximal inequality for dependent random variables · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) (2025) | TGRS Research Map | TGRS