Statistical Papers

, Volume 56, Issue 2, pp 519–529 | Cite as

Relative behavior of a coherent system with respect to another coherent system

Regular Article
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Abstract

In this paper, two independent coherent systems with different structures, and different types of components are considered. The remaining lifetime and the remaining number of working components of system I after the failure of the system II when we know that the system II fails before the system I are studied. In particular, signature-based expressions are obtained for the distribution of these conditional random variables. Illustrative examples are provided.

Keywords

Reliability Residual lifetime Signature 
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Notes

Acknowledgments

The authors thank referees for their useful comments and suggestions, which improved the article.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Industrial EngineeringAtilim UniversityAnkaraTurkey
  2. 2.Department of MathematicsIzmir University of EconomicsIzmirTurkey

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