Hostname: page-component-7dd5485656-zlgnt Total loading time: 0 Render date: 2025-10-28T20:59:21.348Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 42 , Issue 1 , March 2005 , pp. 279 - 286
Copyright
© Applied Probability Trust 2005 

References

Belzunce, F., Ortega, E. and Ruiz, J. M. (1999). The Laplace order and ordering of residual lives. Statist. Prob. Lett. 42, 145–156.CrossRefGoogle Scholar
Belzunce, F., Ortega, E. and Ruiz, J. M. (2001). A note on stochastic comparisons of excess lifetimes of renewal processes. J. Appl. Prob. 38, 747–753.CrossRefGoogle Scholar
Desphande, J. V., Kochar, S. C. and Singh, H. (1986). Aspects of positive ageing. J. Appl. Prob. 23, 748–758.Google Scholar
Klefsjö, B. (1982). The HNBUE and HNWUE classes of life distributions. Naval Res. Logistics Quart. 29, 331–344.Google Scholar
Li, X. and Zuo, J. (2002). On the behaviour of some new ageing properties based upon the residual life of k-out-of-n systems. J. Appl. Prob. 39, 426–433.CrossRefGoogle Scholar
Shaked, M. and Shanthikumar, J. G. (1994). Stochastic Orders and Their Applications. Academic Press, New York.Google Scholar