Convergence rates in the strong law of large numbers for Hilbert valued dependent variables

DOI10.1016/J.CRMA.2004.10.018zbMath1058.60018OpenAlexW1992773022MaRDI QIDQ1764098

Florence Merlevède, Jérôme Dedecker

Publication date: 23 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.10.018

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

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• Convergence rates in the strong law for bounded mixing sequences
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• A law of large numbers for identically distributed martingale differences
• Martingales with values in uniformly convex spaces
• A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws
• Asymptotic theory of weakly dependent stochastic processes
• Convergence Rates in the Law of Large Numbers for Banach-Valued Dependent Variables

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