Variance upper bounds and convolutions of \(\alpha\)-unimodal distributions
type: Item
instance of: scholarly article
title: Variance upper bounds and convolutions of \(\alpha\)-unimodal distributions
zbMATH Open document ID: 0809.60023
DOI: 10.1016/0167-7152(94)00017-4
author: A. M. Abouammoh
author: A. F. Mashhour
published in: Statistics \& Probability Letters
publication date: 1995-01-09T00:00:00Z
review text: The authors revisit the field of discrete \(\alpha\)-unimodal distributions, analogues to distributions of random variables of the form \(YU^{1/\alpha}\), where \(U\) is uniform on (0,1) and independent of \(Y\). These distributions were first considered by the first author [Stat. Neerl. 41, No. 4, 239-244 (1987; Zbl 0691.60009)]. Section 2 provides definitions, Section 3 upper bounds and other inequalities for variances, and Section 4 results about the \(\alpha\)-unimodality of convolutions of \(\alpha\)-unimodal distributions. Similar results by the same authors have appeared in a recent paper [Stat. Papers 35, 151-161 (1989)].
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 706902
zbMATH Keywords: unimodality
zbMATH Keywords: convolutions
reviewed by: Fred W. Steutel
MaRDI profile type: Publication
full work available at URL: 0167-7152(94)00017-4
OpenAlex ID: W2093849874
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description: scientific article; zbMATH DE number 706902