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Relative behavior of a coherent system with respect to another coherent system

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Abstract

In this paper, two independent coherent systems with different structures, and different types of components are considered. The remaining lifetime and the remaining number of working components of system I after the failure of the system II when we know that the system II fails before the system I are studied. In particular, signature-based expressions are obtained for the distribution of these conditional random variables. Illustrative examples are provided.

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Acknowledgments

The authors thank referees for their useful comments and suggestions, which improved the article.

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Authors and Affiliations

  1. Department of Industrial Engineering, Atilim University, Ankara, Turkey

    Serkan Eryilmaz

  2. Department of Mathematics, Izmir University of Economics, Izmir, Turkey

    G. Yazgi Tutuncu

Authors
  1. Serkan Eryilmaz
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  2. G. Yazgi Tutuncu
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Correspondence to Serkan Eryilmaz.

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Eryilmaz, S., Tutuncu, G.Y. Relative behavior of a coherent system with respect to another coherent system. Stat Papers 56, 519–529 (2015). https://doi.org/10.1007/s00362-014-0595-5

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  • DOI: https://doi.org/10.1007/s00362-014-0595-5

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