Some remarks on coupling of dependent random variables
type: Item
instance of: scholarly article
title: Some remarks on coupling of dependent random variables
zbMATH Open document ID: 1020.60022
DOI: 10.1016/S0167-7152(02)00318-8
author: Magda Peligrad
published in: Statistics \& Probability Letters
publication date: 2003-05-07T00:00:00Z
review text: The paper considers the coupling of a dependent random vector with an independent one, having the same marginals. The author provides an \(L_1\)-distance in terms of mixing coefficients. The coupling method is applied to prove a uniform law of large numbers for a sequence of weakly dependent random variables.
reviewed by: Ulrich Horst
Mathematics Subject Classification ID: 60G07
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1906996
zbMATH Keywords: coupling
zbMATH Keywords: weakly dependent sequences
zbMATH Keywords: mixing
zbMATH Keywords: uniform law of large numbers
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1906996