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On bending (down and up) property of reliability measures in mixtures

Author

Listed:
  • F. G. Badía

    (University of Zaragoza)

  • Ji Hwan Cha

    (Ewha Womans University)

Abstract

In this paper, we study the bending property of the failure rate, reversed hazard rate, mean residual life and mean inactivity time in mixtures. For those four reliability measures, the weak and strong bending properties are studied and discussed, respectively. The results are illustrated with suitable examples, where most of them are relative to the model of proportional reliability measures.

Suggested Citation

  • F. G. Badía & Ji Hwan Cha, 2017. "On bending (down and up) property of reliability measures in mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 455-482, May.
    • Handle: RePEc:spr:metrik:v:80:y:2017:i:4:d:10.1007_s00184-017-0613-4
    DOI: 10.1007/s00184-017-0613-4
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    References listed on IDEAS

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    7. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, September.
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    1. Omid Shojaee & Majid Asadi & Maxim Finkelstein, 2021. "On Some Properties of $$\alpha $$ α -Mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1213-1240, November.

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