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A useful ageing property based on the Laplace transform
Published online by Cambridge University Press: 14 July 2016
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
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- Copyright © Applied Probability Trust 1983
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