Convergence of distributions of functionals of measurable random fields

DOI10.1007/BF01090462zbMath0453.62072MaRDI QIDQ5904631

Alexander V. Ivanov, Nikolai N. Leonenko

Publication date: 1980

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

zbMATH Keywords

functional central limit theoremrandom fieldstrong mixingGaussian measurecorrelation function estimation

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Non-Markovian processes: estimation (62M09) Convergence of probability measures (60B10)

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Invariance principle for estimating the correlation function of a homogeneous isotropic random field ⋮ On weak convergence of stochastic processes with Lusin path spaces ⋮ Invariant tori of linear extensions of dynamical systems on a torus with a singular matrix of derivatives

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