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Some results involving HNBUE distributions

Published online by Cambridge University Press:  24 August 2016

A. P. Basu  and
S. N. U. A. Kirmani
A. P. Basu*
Affiliation:
University of Missouri — Columbia
S. N. U. A. Kirmani*
Affiliation:
University of Northern Iowa
*
∗Postal address: Department of Statistics, University of Missouri, 222 Math. Sci. Building, Columbia, MO 65201, USA.
∗∗Postal address: Department of Mathematics and Computer Science, University of Northern Iowa, Cedar Falls, IA 50614, USA.
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Abstract

A characterization of the exponential distribution in the class of all distributions which are HNBUE or HNWUE is proved. An upper (a lower) bound is obtained on the renewal function of a renewal process when the underlying distribution is HNBUE (HNWUE).

Keywords

CHARACTERIZATIONEXPONENTIAL DISTRIBUTIONRENEWAL FUNCTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 4 , December 1986 , pp. 1038 - 1044
Copyright
Copyright © Applied Probability Trust 1986 

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Footnotes

This research was supported in part by a Weldon Spring Grant and in part by the Research Council of the Graduate School, University of Missouri — Columbia.

References

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