Kolmogorov's Strong Law of Large Numbers Holds for Pairwise Uncorrelated Random Variables

DOI10.1137/S0040585X97T990381zbMath1470.60099arXiv2005.03967OpenAlexW3157393745WikidataQ114073925 ScholiaQ114073925MaRDI QIDQ5005711

Maximilian Janisch

Publication date: 10 August 2021

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03967

zbMATH Keywords

strong law of large numbersKolmogorov conditionEtemadi theorempairwise uncorrelated random variablesquasi-uncorrelated random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (2)

On Rio's proof of limit theorems for dependent random fields ⋮ Permutation invariant strong law of large numbers for exchangeable sequences

Cites Work

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• On the strong law of large numbers for pairwise independent random variables
• On the strong law of large numbers for sequences of pairwise independent random variables
• An elementary proof of the strong law of large numbers
• Probability-2

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