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Dynamic IFR concepts for coherent systems

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  • Burkschat, M.
  • Samaniego, F.J.

Abstract

A conditional IFR property for a coherent system with i failed components, and a uniform IFR property, are introduced and studied. The class of mixed systems with the uniform IFR property is characterized. A pair of examples illustrate our findings.

Suggested Citation

  • Burkschat, M. & Samaniego, F.J., 2018. "Dynamic IFR concepts for coherent systems," Statistics & Probability Letters, Elsevier, vol. 142(C), pages 1-7.
    • Handle: RePEc:eee:stapro:v:142:y:2018:i:c:p:1-7
    DOI: 10.1016/j.spl.2018.06.005
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    References listed on IDEAS

    as
    1. Marichal, Jean-Luc & Mathonet, Pierre & Waldhauser, Tamás, 2011. "On signature-based expressions of system reliability," Journal of Multivariate Analysis, Elsevier, vol. 102(10), pages 1410-1416, November.
    2. Subhash Kochar & Hari Mukerjee & Francisco J. Samaniego, 1999. "The “signature” of a coherent system and its application to comparisons among systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 507-523, August.
    3. Jorge Navarro & Francisco J. Samaniego & N. Balakrishnan & Debasis Bhattacharya, 2008. "On the application and extension of system signatures in engineering reliability," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 313-327, June.
    4. Francisco J. Samaniego & N. Balakrishnan & Jorge Navarro, 2009. "Dynamic signatures and their use in comparing the reliability of new and used systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 577-591, September.
    5. Francisco J. Samaniego, 2007. "System Signatures and their Applications in Engineering Reliability," International Series in Operations Research and Management Science, Springer, number 978-0-387-71797-5, December.
    6. Bo H. Lindqvist & Francisco J. Samaniego, 2015. "On the signature of a system under minimal repair," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(3), pages 297-306, May.
    Full references (including those not matched with items on IDEAS)

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