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Stochastic comparisons for the number of working components of a system in random environment

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  • Xiaoliang Ling
  • Ping Li

Abstract

In terms of stochastic orders, the purpose of this paper is to show how the random environment can affect the number of working components of a system with heterogeneous components sharing a common random environment. Applications to a class of semiparametric mixture models, stress-strength model and warm standby system are presented. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:76:y:2013:i:8:p:1017-1030
    DOI: 10.1007/s00184-012-0429-1
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    References listed on IDEAS

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    1. Belzunce, Félix & Mercader, José-Angel & Ruiz, José-María & Spizzichino, Fabio, 2009. "Stochastic comparisons of multivariate mixture models," Journal of Multivariate Analysis, Elsevier, vol. 100(8), pages 1657-1669, September.
    2. 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.
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    Cited by:

    1. Maryam Kelkinnama & Serkan Eryilmaz, 2023. "Some reliability measures and maintenance policies for a coherent system composed of different types of components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 57-82, January.

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