Estimate of the rate of convergence in the central limit theorem for weakly dependent random fields
type: Item
instance of: scholarly article
title: Estimate of the rate of convergence in the central limit theorem for weakly dependent random fields
zbMATH Open document ID: 0628.60032
DOI: 10.1007/BF01049468
published in: Lithuanian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author considers random fields defined over the integer-valued lattice of Euclidean space \(R^ d\). He obtains upper bounds for the convergence rate in the central limit theorem for strong mixing, uniformly strong mixing and m-dependent random fields which satisfy additional restrictions for the absolute moments.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 4022262
zbMATH Keywords: rate of convergence
zbMATH Keywords: random fields
zbMATH Keywords: central limit theorem
zbMATH Keywords: strong mixing
author: Jonas Kazys Sunklodas
MaRDI profile type: Publication
cites work: Q5560061
cites work: Vitesse de convergence du th�or�me de la limite centrale pour des champs faiblement d�pendants
cites work: Q5563145
cites work: On Berry-Esseen approximation and a functional LIL for a class of dependent random fields
cites work: Q5576569
cites work: \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
cites work: Stable Limit Theorems for Sums of Multiply Indexed m-Dependent Random Variables
cites work: Convergence rates of the strong law for stationary mixing sequences
cites work: An \(L_p\) bound for the remainder in a combinatorial central limit theorem
cites work: Q5535438
cites work: Estimate of the rate of convergence in the central limit theorem for m- dependent random fields
cites work: Some limit theorems for random fields
cites work: A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent random fields
cites work: Q3865209
cites work: Q4404195
cites work: Q3959195
cites work: Rate of convergence in the central limit theorem for random variables with strong mixing
cites work: On the rates in the central limit theorem for weakly dependent random fields
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description: scientific article; zbMATH DE number 4022262