Remarks on estimates in the total-variation metric
type: Item
instance of: scholarly article
title: Remarks on estimates in the total-variation metric
zbMATH Open document ID: 0961.62013
DOI: 10.1007/BF02465121
author: Vydas Čekanavičius
published in: Lithuanian Mathematical Journal
publication date: 2001-06-05T00:00:00Z
review text: The author considers the approximation of convolutions of lattice distributions by suitably choosen binomial, negative binomial and Poisson distributions replacing the usual normal approximation. This allows to approximate the distributions in terms of the total variation metric in comparison to several weaker metrics considered in the literature. In a second part of the paper, mixtures of distributions are approximated by a convolution of the normal and the Poisson law.
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 1551506
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: convolutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1551506