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On linearly increasing mean residual lifetimes

Published online by Cambridge University Press:  14 July 2016

Donald G. Morrison
Donald G. Morrison*
Affiliation:
Columbia University
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Abstract

It is shown that the gamma distribution is the unique mixing distribution of exponentials that leads to a linearly increasing mean residual lifetime function. A corollary of this result is that regardless of the mixing process the Pareto distribution is the unique aggregate distribution mixture with this property.

Keywords

GAMMA MIXING OF EXPONENTIALSPARETO DISTRIBUTIONLINEARLY INCREASING MEAN RESIDUAL LIFETIMESRELIABILITY THEORYSOCIAL MOBILITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 15 , Issue 3 , September 1978 , pp. 617 - 620
Copyright
Copyright © Applied Probability Trust 1978 

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