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A useful ageing property based on the Laplace transform

Published online by Cambridge University Press:  14 July 2016

Bengt Klefsjö
Bengt Klefsjö*
Affiliation:
University of Luleå
*
∗ Postal address: Department of Mathematics, University of Luleå, S-95187 Luleå, Sweden.
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Abstract

The class of life distributions for which , where , and , is studied. We prove that this class is larger than the HNBUE (HNWUE) class (consisting of those life distributions for which for x ≧ 0) and present results concerning closure properties under some usual reliability operations. We also study some shock models and a certain cumulative damage model. The class of discrete life distributions for which for 0 ≦ p ≦ 1, where , is also studied.

Keywords

LIFE DISTRIBUTIONSURVIVAL FUNCTIONHNBUEHNWUELAPLACE TRANSFORMSHOCK MODELPOISSON PROCESSBIRTH PROCESSDAMAGE MODEL
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 615 - 626
Copyright
Copyright © Applied Probability Trust 1983 

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