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On the residual lifelengths of the remaining components in a coherent system

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  • M. Kelkin Nama
  • M. Asadi
  • Z. Zhang

Abstract

In this note, we consider a coherent system with the property that, upon failure of the system, some of its components remain unfailed in the system. Under this condition, we study the residual lifetime of the live components of the system. Signature based mixture representation of the joint and marginal reliability functions of the live components are obtained. Various stochastic and aging properties of the residual lifetime of such components are investigated. Some characterization results on exponential distributions are also provided. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • M. Kelkin Nama & M. Asadi & Z. Zhang, 2013. "On the residual lifelengths of the remaining components in a coherent system," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(7), pages 979-996, October.
    • Handle: RePEc:spr:metrik:v:76:y:2013:i:7:p:979-996
    DOI: 10.1007/s00184-012-0427-3
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    References listed on IDEAS

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    1. Eryilmaz, Serkan, 2011. "Estimation in coherent reliability systems through copulas," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 564-568.
    2. Xiaohu Li & Zhengcheng Zhang, 2008. "Some stochastic comparisons of conditional coherent systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(6), pages 541-549, November.
    3. Navarro, Jorge & Ruiz, Jose M. & Sandoval, Carlos J., 2005. "A note on comparisons among coherent systems with dependent components using signatures," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 179-185, April.
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    Cited by:

    1. S. Ashrafi & M. Asadi, 2015. "On the stochastic and dependence properties of the three-state systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(3), pages 261-281, April.

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