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A note on the characterization of a U-shaped probability density function

Published online by Cambridge University Press:  14 July 2016

P. Ghosh  and
D. N. Shanbhag
P. Ghosh
Affiliation:
Federal City College, Washington, D.C.
D. N. Shanbhag
Affiliation:
University of Sheffield
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Abstract

In this note a characterization for a U-shaped probability density function is given using a well-known result for unimodal distributions due to Khinchine. As a corollary of this result, a characteristic property based on moments is found.

Keywords

CHARACTERIZATIONCHARACTERISTIC FUNCTIONPROBABILITY DENSITYUNIMODALU-SHAPEDUNIFORM DISTRIBUTIONMIXTURE
Type
Short Communications
Information
Journal of Applied Probability , Volume 9 , Issue 3 , June 1972 , pp. 684 - 685
Copyright
Copyright © Applied Probability Trust 1972 

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References

Lukacs, E., (1970) Characteristic Functions. Griffin, London.Google Scholar