Empirical process of long memory Gaussian subordinated random fields.

DOI10.1016/j.crma.2005.12.029zbMath1090.60049OpenAlexW2068330946MaRDI QIDQ817922

Frédéric Lavancier

Publication date: 20 March 2006

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.2005.12.029

zbMATH Keywords

Gaussian random field

Mathematics Subject Classification ID

Random fields (60G60)

Related Items (3)

Parametric estimation of long memory multivariate Gaussian random fields ⋮ Asymptotic results for spatial causal ARMA models ⋮ Empirical process of long memory Gaussian subordinated random fields.

Cites Work

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• Empirical process of long memory Gaussian subordinated random fields.
• The empirical process of some long-range dependent sequences with an application to U-statistics
• Functional limit theorem for the empirical process of a class of Bernoulli shifts with long memory
• On the asymptotic expansion of the empirical process of long-memory moving averages
• Asymptotics of weighted empirical processes of linear fields with long-range dependence
• Invariance principles for non-isotropic long memory random fields
• Non-central limit theorems for non-linear functional of Gaussian fields

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