Improved convergence rates for tail probabilities for sums of i.i.d. Banach space valued random vectors

DOI10.1016/J.JMAA.2011.07.056zbMath1248.60007OpenAlexW1965052742MaRDI QIDQ640963

Aurel Spătaru

Publication date: 21 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.056

zbMATH Keywords

convergence rates2-smooth Banach spacestail probabilities of sums of i.i.d. random vectors

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Refinement of convergence rate for the strong law of large numbers in Banach space

Cites Work

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• On the maximum sequence in a critical branching process
• Characterization of the law of the iterated logarithm in Banach spaces
• Optimum bounds for the distributions of martingales in Banach spaces
• Strengthening classical results on convergence rates in strong limit theorems
• Refinement of convergence rates for tail probabilities
• A maximum sequence in a critical multitype branching process
• Tail probabilities for sums of independent Banach space valued random variables

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