Stability of characterization of a degenerate distribution
type: Item
instance of: scholarly article
title: Stability of characterization of a degenerate distribution
zbMATH Open document ID: 0635.62009
DOI: 10.1007/BF00972024
published in: Lithuanian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: It is evident that if \(F=F^ 2\) and \(F\) is a distribution function, then \(F\) is degenerate. Now let the Lévy distance between the distribution functions \(F\) and \(F^ 2\) not exceed \(\varepsilon\). Then the distance between F and the class of all degenerate distributions does not exceed \(c\varepsilon\ln 1/\varepsilon\), where \(c\) is some absolute constant. The order of this estimate cannot be improved.
Mathematics Subject Classification ID: 62E10
zbMATH DE Number: 4034846
zbMATH Keywords: stability of characterization
zbMATH Keywords: Lévy distance
zbMATH Keywords: degenerate distributions
author: J. J. Mačys
reviewed by: Romanas Yanushkevichius
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00972024
OpenAlex ID: W2027204075
description: scientific article; zbMATH DE number 4034846