A central limit theorem for nonuniform \(\varphi\)-mixing random fields with infinite variance

DOI10.1016/S0167-7152(00)00175-9zbMath0988.60009OpenAlexW2058067556MaRDI QIDQ5933621

Alberto L. Maltz

Publication date: 1 November 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00175-9

zbMATH Keywords

Brownian motionmixinginfinite variancepartial sums processrandom fields

Mathematics Subject Classification ID

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

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Cites Work

• Characterisations of set-indexed Brownian motion and associated conditions for finite-dimensional convergence
• Variance of set-indexed sums of mixing random variables and weak convergence of set-indexed processes
• A remark on Dobrushin's uniqueness theorem
• On the central limit theorem for stationary mixing random fields
• On the spectral density and asymptotic normality of weakly dependent random fields
• On the central limit theorem for nonuniform \(\varphi\)-mixing random fields
• A central limit theorem for stationary random fields
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