On convergence rates in the Marcinkiewicz-Zygmund strong law of large numbers

DOI10.1007/s00025-021-01487-2zbMath1470.60094OpenAlexW3193014922WikidataQ114852550 ScholiaQ114852550MaRDI QIDQ2044621

Fakhreddine Boukhari

Publication date: 10 August 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01487-2

zbMATH Keywords

tail probabilitiesMarcinkiewicz-Zygmund lawsBaum-Katz lawsgeneral limit theorems

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (2)

On a class of linear regression methods ⋮ On a Spitzer-type law of large numbers for partial sums of m-negatively associated random variables

Cites Work

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• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• On the Marcinkiewicz-Zygmund strong laws for arbitrary dependent sequences
• Maximal inequalities of weak type
• Convergence rates of the strong law for stationary mixing sequences
• Convergence Rates in the Law of Large Numbers
• An $L^p$-Convergence Theorem
• Probability: A Graduate Course

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