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Antistarshapedness, dispersiveness and mixtures

Published online by Cambridge University Press:  14 July 2016

James Lynch
James Lynch*
Affiliation:
University of South Carolina
*
∗Postal address: Department of Statistics, University of South Carolina, Columbia, SC 29208, USA.
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Abstract

Classes of distributions are defined in terms of antistarshapedness or dispersiveness. Necessary and sufficient conditions are given for these classes to be closed under mixtures. These conditions characterize distributions with log-concave densities.

Keywords

MIXTUREQUANTILE PLOTSLOG CONCAVE
Type
Short Communications
Information
Journal of Applied Probability , Volume 24 , Issue 1 , March 1987 , pp. 265 - 269
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

Research carried out in part at The Pennsylvania State University, and supported in part by U.S. Army Research Office Grant No. DAA G29-84K-0007.

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