The invariance principle for associated random fields

DOI10.1216/rmjm/1181071997zbMath0880.60005OpenAlexW1985843119MaRDI QIDQ1360208

O. Diekmann

Publication date: 3 February 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

invariance principlerandom measureassociated random fields

Mathematics Subject Classification ID

Random fields (60G60) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Properties of the parabolic Anderson model and the Anderson polymer model ⋮ Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities ⋮ A strong invariance principle for associated random fields

Cites Work

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• Scaling limits for point random fields
• The invariance principle for associated processes
• An invariance principle for associated random fields
• An invariance principle for certain dependent sequences
• A functional central limit theorem for stationary random fields
• Associated random variables and martingale inequalities
• Association of Random Variables, with Applications
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

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