Invariance principle for estimating the correlation function of a homogeneous isotropic random field

DOI10.1007/BF01085561zbMath0484.60044OpenAlexW2077354382MaRDI QIDQ5905091

Nikolai N. Leonenko, Alexander V. Ivanov

Publication date: 1982

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01085561

zbMATH Keywords

spectralinvariance principleisotropic random fieldmixing and moment conditions

Mathematics Subject Classification ID

Random fields (60G60) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Inference from stochastic processes and spectral analysis (62M15) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

Cites Work

• Limit theorems for multiply indexed mixing random variables, with application to Gibbs random fields
• Convergence of distributions of functionals of measurable random fields
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