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Comparison of order statistics between dependent and independent random variables

Author

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  • Hu, Taizhong
  • Hu, Jinjin

Abstract

The closeness of distribution functions of order statistics between positively (negatively) associated and independent random variables is compared. One application is presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:37:y:1998:i:1:p:1-6
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    References listed on IDEAS

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    1. Block, Henry W. & Fang, Zhaoben, 1990. "Setwise independence for some dependence structures," Journal of Multivariate Analysis, Elsevier, vol. 32(1), pages 103-119, January.
    2. Shaked, Moshe & Tong, Y. L., 1985. "Some partial orderings of exchangeable random variables by positive dependence," Journal of Multivariate Analysis, Elsevier, vol. 17(3), pages 333-349, December.
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    Cited by:

    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. 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.

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