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Stochastic and ageing properties of coherent systems with dependent identically distributed components

Author

Listed:
  • M. Kelkinnama

    (Isfahan University of Technology)

  • M. Asadi

    (University of Isfahan
    Institute of Research in Fundamental Sciences (IPM))

Abstract

In the study of reliability and stochastic properties of technical systems a realistic assumption is to consider the dependency between the components of the system. We investigate the reliability and stochastic properties of a coherent system where the component lifetimes of the system are identically distributed and the structural dependency of the components is expressed using a copula. We use the notion of distortion function to explore several ageing and stochastic properties of the residual and inactivity time of coherent systems and order statistics. Some illustrative examples are also provided.

Suggested Citation

  • M. Kelkinnama & M. Asadi, 2019. "Stochastic and ageing properties of coherent systems with dependent identically distributed components," Statistical Papers, Springer, vol. 60(3), pages 805-821, June.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:3:d:10.1007_s00362-016-0850-z
    DOI: 10.1007/s00362-016-0850-z
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    References listed on IDEAS

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    Cited by:

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    2. Krzysztof Jasiński, 2021. "The number of failed components in a coherent working system when the lifetimes are discretely distributed," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(7), pages 1081-1094, October.
    3. Davies, Katherine & Dembińska, Anna, 2024. "On the residual lifetimes of dependent components upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    4. Elham Khaleghpanah Noughabi & Majid Chahkandi & Majid Rezaei, 2022. "On the Mean and Variance Residual Life Comparisons of Coherent Systems with Identically Distributed Components," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2801-2822, December.

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