Geometry of \(\mathbb{Z}^ d\) and the central limit theorem for weakly dependent random fields

DOI10.1023/A:1022693309359zbMath0884.60022OpenAlexW2915064169MaRDI QIDQ1366721

Gonzalo Perera

Publication date: 23 March 1998

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022693309359

zbMATH Keywords

central limit theoremsmixing random fields

Mathematics Subject Classification ID

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

Related Items (7)

Exponential inequalities and functional central limit theorems for random fields ⋮ Asymptotic normality of the Nadaraya–Watson estimator for nonstationary functional data and applications to telecommunications ⋮ Kernel density estimators for random fields satisfying an interlaced mixing condition ⋮ On the behavior of the covariance matrices in a multivariate central limit theorem under some mixing conditions ⋮ On optimal spatial subsample size for variance estimation ⋮ A central limit theorem for functions of stationary max-stable random fields on \(\mathbb{R}^d\) ⋮ On the simultaneous behavior of the dependence coefficients associated with three mixing conditions

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