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Sharp reliability bounds for the ℒ-like distributions, a class in which ageing is based on Laplace transform inequalities
Part of
Chin-Yuan Hu, Gwo Dong Lin
Journal:

Journal of Applied Probability / Volume 42 / Issue 4 / December 2005

Published online by Cambridge University Press:

14 July 2016, pp. 1204-1208

Print publication:

December 2005
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We establish Klar's (2002) conjecture about sharp reliability bounds for life distributions in the ℒα-class in reliability theory. The key idea is to construct a set of two-point distributions whose support points satisfy a certain system of equalities and inequalities.

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Sharp reliability bounds for the ℒ-like distributions, a class in which ageing is based on Laplace transform inequalities