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A note on comparisons among coherent systems with dependent components using signatures

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  • Navarro, Jorge
  • Ruiz, Jose M.
  • Sandoval, Carlos J.
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    Abstract

    We extend some ordering properties for coherent systems with independent and identically distributed components given by Kochar et al. (Naval Res. Logist. 46 (1999) 507) to coherent systems with (possibly) dependent components by using the concept of Samaniego's signatures.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 72 (2005)
    Issue (Month): 2 (April)
    Pages: 179-185

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    Handle: RePEc:eee:stapro:v:72:y:2005:i:2:p:179-185

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    Related research

    Keywords: Ordering Coherent systems k-out-of-n systems Order statistics Signatures;

    References

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    1. Rychlik, Tomasz, 1994. "Distributions and expectations of order statistics for possibly dependent random variables," Journal of Multivariate Analysis, Elsevier, vol. 48(1), pages 31-42, January.
    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. Rychlik, Tomasz, 1995. "Bounds for order statistics based on dependent variables with given nonidentical distributions," Statistics & Probability Letters, Elsevier, vol. 23(4), pages 351-358, June.
    4. Hu, Taizhong & Hu, Jinjin, 1998. "Comparison of order statistics between dependent and independent random variables," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 1-6, January.
    5. Papadatos, Nickos, 2001. "Distribution and expectation bounds on order statistics from possibly dependent variates," Statistics & Probability Letters, Elsevier, vol. 54(1), pages 21-31, August.
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    Cited by:
    1. Serkan Eryılmaz, 2013. "On residual lifetime of coherent systems after the rth failure," Statistical Papers, Springer, vol. 54(1), pages 243-250, February.
    2. 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.
    3. Hon Ng & Jorge Navarro & Narayanaswamy Balakrishnan, 2012. "Parametric inference from system lifetime data under a proportional hazard rate model," Metrika, Springer, vol. 75(3), pages 367-388, April.
    4. 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.
    5. Jorge Navarro & Pedro Hernandez, 2008. "Mean residual life functions of finite mixtures, order statistics and coherent systems," Metrika, Springer, vol. 67(3), pages 277-298, April.
    6. da Costa Bueno, Vanderlei, 2013. "A multistate monotone system signature," Statistics & Probability Letters, Elsevier, vol. 83(11), pages 2583-2591.
    7. Asadi, Majid & Berred, Alexandre, 2012. "On the number of failed components in a coherent operating system," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2156-2163.
    8. Eryilmaz, Serkan, 2011. "The behavior of warm standby components with respect to a coherent system," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1319-1325, August.
    9. Parvardeh, A. & Balakrishnan, N., 2013. "Conditional residual lifetimes of coherent systems," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2664-2672.

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