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On the residual lifetime of coherent systems with heterogeneous components

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Abstract

The residual lifetime is of significant interest in reliability and survival analysis. In this article, we obtain a mixture representation for the reliability function of the residual lifetime of a coherent system with heterogeneous components in terms of the reliability functions of residual lifetimes of order statistics. Some stochastic comparisons are made on the residual lifetimes of the systems. Some examples are also given to illustrate the main results.

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Acknowledgments

The authors express their sincere thanks to the anonymous reviewer for the constructive comments and useful suggestions that improved the presentation of the paper considerably.

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Authors and Affiliations

  1. Department of Statistics, University of Birjand, Birjand, Iran

    P. Samadi, M. Rezaei & M. Chahkandi

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  1. P. Samadi
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  2. M. Rezaei
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  3. M. Chahkandi
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Correspondence to M. Chahkandi.

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Samadi, P., Rezaei, M. & Chahkandi, M. On the residual lifetime of coherent systems with heterogeneous components. Metrika 80, 69–82 (2017). https://doi.org/10.1007/s00184-016-0591-y

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  • DOI: https://doi.org/10.1007/s00184-016-0591-y

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