On linearly increasing mean residual lifetimes
- 1 March 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 15 (03) , 617-620
- https://doi.org/10.1017/s0021900200045988
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
This publication has 4 references indexed in Scilit:
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