A note on an article by Artikis
type: Item
instance of: scholarly article
title: A note on an article by Artikis
zbMATH Open document ID: 0601.60011
DOI: 10.1007/BF01955033
author: B. George
published in: Acta Mathematica Hungarica
publication date: 1985-01-01T00:00:00Z
review text: Let \(p>0\) and \(\phi\) be a characteristic function such that \(\phi (t)=p\int^{1}_{0}\psi (ut)u^{p-1} du\), \(-\infty <t<\infty\), with \(\psi\) as a characteristic function. Further let \(d=\sup \{b>0:\phi\) (t)\(\neq 0\) for all \(t\in (-b,b)\}\). This note identifies the \(\phi\) for which for every \(t\in (-d,d)\), \(\psi\) (t) is a power of \(\phi\) (t), and also discusses some related properties.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62E10
zbMATH DE Number: 3969750
zbMATH Keywords: Khintchine's characterization of unimodality
zbMATH Keywords: characteristic function
reviewed by: Damodar Shanbhag
MaRDI profile type: Publication
cites work: Completeness and self-decomposability of mixtures
cites work: A generalized unimodality
cites work: Unimodality of infinitely divisible distribution functions of class L
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description: scientific article; zbMATH DE number 3969750