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Strong unimodality

Published online by Cambridge University Press:  01 July 2016

Chris A. J. Klaassen
Chris A. J. Klaassen*
Affiliation:
University of Leiden
*
∗Postal address: Department of Mathematics and Computer Science, University of Leiden, Wassenaarseweg 80, Postbus 9512, 2300 RA Leiden, The Netherlands.
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Abstract

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It is proved that a distribution F is strongly unimodal iff any two quantiles of the convolution of F with any other distribution are further apart than the corresponding quantiles of F itself. Some related characterizations of strong unimodality are also given.

Keywords

SPREADCONVOLUTIONJENSEN’S INEQUALITY
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 17 , Issue 4 , December 1985 , pp. 905 - 907
Copyright
Copyright © Applied Probability Trust 1985 

References

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