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Non-parametric prediction intervals for the lifetime of coherent systems

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  • M. Chahkandi
  • Jafar Ahmadi
  • S. Baratpour

Abstract

In this paper, nonparametric methods are proposed to construct prediction intervals for the lifetime of a coherent system with known signatures. An explicit expression for the coverage probability of the prediction intervals is presented based on Samaniego’s signature. The existence and optimality of these intervals are discussed. In our derivation, we also obtain an exact expression for the marginal distribution of the $$i$$ i th order statistic from a pooled sample. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • M. Chahkandi & Jafar Ahmadi & S. Baratpour, 2014. "Non-parametric prediction intervals for the lifetime of coherent systems," Statistical Papers, Springer, vol. 55(4), pages 1019-1034, November.
    • Handle: RePEc:spr:stpapr:v:55:y:2014:i:4:p:1019-1034
    DOI: 10.1007/s00362-013-0549-3
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    References listed on IDEAS

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    6. Narayanaswamy Balakrishnan & Hon Ng & Jorge Navarro, 2011. "Exact nonparametric inference for component lifetime distribution based on lifetime data from systems with known signatures," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 23(3), pages 741-752.
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    Cited by:

    1. M. G. Kulkarni & M. B. Rajarshi, 2020. "Estimation of parameters of component lifetime distribution in a coherent system," Statistical Papers, Springer, vol. 61(1), pages 403-421, February.

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