Central limit theorem for nonlinear transforms of Gaussian random vector fields

DOI10.1007/BF01099225zbMath0721.60018OpenAlexW2040223222MaRDI QIDQ2640984

Nikolai N. Leonenko, Victoria N. Parkhomenko

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01099225

zbMATH Keywords

nonlinear transformationscentral limit theoremGaussian homogeneous isotropic random field

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Cites Work

• Central limit theorems for non-linear functionals of Gaussian fields
• CLT and other limit theorems for functionals of Gaussian processes
• Note on N‐dimensional hermite polynomials
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