On weak laws of large numbers for maximal partial sums of pairwise independent random variables

This paper develops Rio’s method [11] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variables. The method allows us to avoid using the Kolmogorov maximal inequality. As an application, a weak law of large numbers for maximal partial sums of pairwise i...

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Bibliographic Details
Main Author: Thành, Lê Vǎn
Format: Article
Language:English
Published: Académie des sciences 2023-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.387/
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