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Ageing Properties and Series System

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Jean-Louis Bon  and
Abbas Illayk
Jean-Louis Bon*
Affiliation:
Polytech' Lille, Université Lille 1
Abbas Illayk*
Affiliation:
Université Lille 1
*
∗Postal address: Laboratoire CNRS Paul Painlevé, UMR 8524, Université Lille 1, 59655 Villeneuve d'Ascq, France.
∗Postal address: Laboratoire CNRS Paul Painlevé, UMR 8524, Université Lille 1, 59655 Villeneuve d'Ascq, France.
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Abstract

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The comparison of lifetimes has been treated extensively during the last decade. A wide variety of mathematical objects have been defined, which, in reliability theory, are used to quantify ageing properties. In this work, using the equilibrium variable, we give a new viewpoint on ageing properties. Moreover, we give new bounds on the moments of series systems.

Keywords

Ageing propertiesstochastic orderseries systemIFRDMRLHNBUE

MSC classification

Secondary: 60K99: None of the above, but in this section
Type
Short Communications
Information
Journal of Applied Probability , Volume 42 , Issue 1 , March 2005 , pp. 279 - 286
Copyright
© Applied Probability Trust 2005 

References

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