ON FUNCTIONAL CENTRAL LIMIT THEOREMS FOR LINEAR RANDOM FIELDS WITH DEPENDENT INNOVATIONS

DOI10.1017/S1446181108000217zbMath1152.60319OpenAlexW2012249941MaRDI QIDQ3542097

Tae-Sung Kim, Hyun-Chull Kim, Mi-Hwa Ko

Publication date: 28 November 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181108000217

zbMATH Keywords

functional central limit theoremdecompositionrandom fieldlinear random fieldsmartingale differenceassociated

Mathematics Subject Classification ID

Gaussian processes (60G15) Functional limit theorems; invariance principles (60F17)

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Cites Work

• Central limit theorems for associated random variables and the percolation model
• Variance of set-indexed sums of mixing random variables and weak convergence of set-indexed processes
• An invariance principle for associated random fields
• A uniform central limit theorem for nonuniform \(\phi\)-mixing random fields
• Asymptotics for linear processes
• Distribution function inequalities for martingales
• Invariance principle for martingale-difference random fields
• Invariance principle for associated random fields
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
• Asymptotics for linear random fields

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