Moment inequalities for B-valued random vectors with applications to the strong limit theorems

DOI10.1016/J.SPL.2003.11.012zbMath1068.60012OpenAlexW2004432268MaRDI QIDQ1771283

Shixin Gan

Publication date: 7 April 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2003.11.012

zbMATH Keywords

p-smoothable Banach spacesBanach spaces of type p

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

The Baum-Katz theorem for dependent sequences

Cites Work

• Characterization of the law of the iterated logarithm in Banach spaces
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• On the spectral density and asymptotic normality of weakly dependent random fields
• Almost-sure results for a class of dependent random variables
• On the strong law for arrays and for the bootstrap mean and variance
• Moment Conditions for Almost Sure Convergence of Weakly Correlated Random Variables
• Complete Convergence and the Law of Large Numbers
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