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Distributions of the lifetimes of system components operating under an unknown common environment

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  • Dhaifalla Al-Mutairi
  • Satish Agarwal

Abstract

Families of joint distributions for describing the lifetimes of a system of components that operate under an unknown environment, when the environment follows a Weibull distribution, are derived. The reliability function for this system is calculated and several properties of the aforementioned joint distributions are investigated.

Suggested Citation

  • Dhaifalla Al-Mutairi & Satish Agarwal, 1997. "Distributions of the lifetimes of system components operating under an unknown common environment," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(1), pages 85-96.
    • Handle: RePEc:taf:japsta:v:24:y:1997:i:1:p:85-96
    DOI: 10.1080/02664769723891
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    Cited by:

    1. Xiaoliang Ling & Ping Li, 2013. "Stochastic comparisons for the number of working components of a system in random environment," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(8), pages 1017-1030, November.

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