On the central limit theorem for nonuniform \(\varphi\)-mixing random fields

DOI10.1023/A:1021619613916zbMath0948.60013OpenAlexW1604167640MaRDI QIDQ1303904

Alberto L. Maltz

Publication date: 7 November 2000

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

Full work available at URL: https://doi.org/10.1023/a:1021619613916

zbMATH Keywords

Brownian motionmetric entropypartial-sum processuniform central limit theoremGibbs fieldsnonuniform \(\varphi\)-mixingrandom fields on integer lattice

Mathematics Subject Classification ID

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

Related Items (4)

Central limit theorems for stationary random fields under weak dependence with application to ambit and mixed moving average fields ⋮ On a CLT for Gibbs fields and its functional version. ⋮ Limit theorems for the empirical distribution function in the spatial case. ⋮ A central limit theorem for nonuniform \(\varphi\)-mixing random fields with infinite variance

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