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

Published online by Cambridge University Press:  14 July 2016

Chin-Yuan Hu*
Affiliation:
National Changhua University of Education
Gwo Dong Lin*
Affiliation:
Academia Sinica, Taiwan
*
Postal address: Department of Business Education, National Changhua University of Education, Changhua, 50058, Taiwan, Republic of China. Email address: buhuua@cc.ncue.edu.tw
∗∗Postal address: Institute of Statistical Science, Academia Sinica, Taipei, 11529, Taiwan, Republic of China. Email address: gdlin@stat.sinica.edu.tw
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Abstract

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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.

Type
Short Communications
Copyright
© Applied Probability Trust 2005 

References

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