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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.

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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:72:y:2005:i:2:p:179-185
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    References listed on IDEAS

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    1. 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.
    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. 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.
    4. 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.
    5. 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.
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