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A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System

Published online by Cambridge University Press:  30 January 2018

Xiuying Feng*
Affiliation:
Lanzhou University
Shuhong Zhang*
Affiliation:
Lanzhou University
Xiaohu Li*
Affiliation:
Xiamen University
*
Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China.
Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China.
∗∗∗ Postal address: School of Mathematics Sciences, Xiamen University, Xiamen 361005, China.
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Abstract

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This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.

Type
Research Article
Copyright
© Applied Probability Trust 

References

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