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On the application and extension of system signatures in engineering reliability

Author

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  • Jorge Navarro
  • Francisco J. Samaniego
  • N. Balakrishnan
  • Debasis Bhattacharya

Abstract

Following a review of the basic ideas in structural reliability, including signature‐based representation and preservation theorems for systems whose components have independent and identically distributed (i.i.d.) lifetimes, extensions that apply to the comparison of coherent systems of different sizes, and stochastic mixtures of them, are obtained. It is then shown that these results may be extended to vectors of exchangeable random lifetimes. In particular, for arbitrary systems of sizes m

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:4:p:313-327
    DOI: 10.1002/nav.20285
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    References listed on IDEAS

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    1. Navarro, Jorge & Ruiz, Jose M. & Sandoval, Carlos J., 2005. "A note on comparisons among coherent systems with dependent components using signatures," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 179-185, April.
    2. Shaked, Moshe & Suarez-Llorens, Alfonso, 2003. "On the Comparison of Reliability Experiments Based on the Convolution Order," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 693-702, January.
    3. 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, April.
    4. Jorge Navarro, 2007. "Tail hazard rate ordering properties of order statistics and coherent systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(8), pages 820-828, December.
    5. Michael R. Dugas & Francisco J. Samaniego, 2007. "On optimal system designs in reliability‐economics frameworks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 568-582, August.
    6. Navarro, Jorge & Rychlik, Tomasz, 2007. "Reliability and expectation bounds for coherent systems with exchangeable components," Journal of Multivariate Analysis, Elsevier, vol. 98(1), pages 102-113, January.
    7. Jorge Navarro & Jose Ruiz & Carlos Sandoval, 2008. "Properties of systems with two exchangeable Pareto components," Statistical Papers, Springer, vol. 49(2), pages 177-190, April.
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