A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent random fields

DOI10.1007/BF00531565zbMath0465.60028OpenAlexW2000151285MaRDI QIDQ3917242

B. L. S. Prakasa Rao

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00531565

zbMATH Keywords

central limit theoremsestimate of the rate of convergencedependent random fields

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

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Normal approximation under local dependence. ⋮ Estimate of the rate of convergence in the central limit theorem for weakly dependent random fields ⋮ Asymptotic expansions for potential functions of I.I.D. random fields ⋮ On some approximations for sums of \(m\)-dependent random variables ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3313020 Vitesse de convergence du th�or�me de la limite centrale pour des champs faiblement d�pendants] ⋮ Eigenschaften von Polynomidealen in Abhängigkeit von der Charakteristik ⋮ On the rates in the central limit theorem for weakly dependent random fields

Cites Work

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• A functional central limit theorem for stationary random fields
• Estimate of the rate of convergence in the central limit theorem for m- dependent random fields
• An estimate of the remainder term in the central limit theorem for m- dependent random variables
• A note on asymptotic normality of sums of higher-dimensionally indexed random variables