A note on the stochastic domination condition and uniform integrability with applications to the strong law of large numbers

DOI10.1016/j.spl.2021.109181zbMath1489.60034OpenAlexW3175864155MaRDI QIDQ2244593

Andrew Rosalsky, Le Van Thanh

Publication date: 12 November 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2021.109181

zbMATH Keywords

strong law of large numbersuniform integrabilitystochastic dominationde la Vallée Poussin criterionsequence of pairwise independent random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

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• Stochastic convergence of weighted sums of random elements in linear spaces
• Convergence of weighted sums of tight random elements
• On the Baum-Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants
• The von Bahr-Esseen moment inequality for pairwise independent random variables and applications
• Probability theory. A comprehensive course
• Probability: A Graduate Course

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