Asymptotic expansions for potential functions of I.I.D. random fields

DOI10.1007/BF00339992zbMath0659.60035OpenAlexW2095343993MaRDI QIDQ1112428

Friedrich Götze, Christian Hipp

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00339992

zbMATH Keywords

central limit theoremEdgeworth expansionsrandom fieldsm-dependencefinite range potential functionsmixture of lattice distributions

Mathematics Subject Classification ID

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

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Cites Work

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• Stable Limit Theorems for Sums of Multiply Indexed m-Dependent Random Variables
• Asymptotic Expansions in the Central Limit Theorem for a Special Class ofm-Dependent Random Fields. I
• A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent random fields
• A method for the derivation of limit theorems for sums of m-dependent random variables
• Asymptotic expansions for sums of weakly dependent random vectors
• On the rates in the central limit theorem for weakly dependent random fields

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