A moment inequality of the Marcinkiewicz-Zygmund type for some weakly dependent random fields

DOI10.1016/j.spl.2010.07.011zbMath1201.60049OpenAlexW2067232057MaRDI QIDQ1957166

Lionel Truquet

Publication date: 24 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2010.07.011

zbMATH Keywords

moment inequalitiesrandom fieldsweak dependence

Mathematics Subject Classification ID

Random fields (60G60) Limit theorems in probability theory (60F99)

Related Items (2)

Limit theorems for weighted Bernoulli random fields under Hannan's condition ⋮ Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields

Cites Work

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• A general moment inequality for the maximum of the rectangular partial sums of multiple series
• Mixing: Properties and examples
• Strong invariance principles for dependent random variables
• Weak dependence. With examples and applications.
• Non-strong mixing autoregressive processes
• Exponential inequalities and functional central limit theorems for random fields
• Strong invariance principle for dependent random fields
• Nonlinear system theory: Another look at dependence

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