Limit distributions of certain functionals of homogeneous isotropic Gaussian fields with strong dependency

DOI10.1007/BF01095079zbMath0673.60053MaRDI QIDQ1120899

Nikolai N. Leonenko

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

limit distributionsGaussian homogeneous isotropic random fields

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05)

Cites Work

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• High level sojourns for strongly dependent Gaussian processes
• On the Invariance Principle for Homogeneous and Isotropic Random Fields
• Some sojourn time problems for strongly dependent Gaussian processes
• Some limit theorems for sojourn times of strongly dependent Gaussian processes
• Convergence of integrated processes of arbitrary Hermite rank
• Non-central limit theorems for non-linear functional of Gaussian fields

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