Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-19T04:33:49.400Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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