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A note on stochastic comparisons of generalized order statistics

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  • Hu, Taizhong
  • Zhuang, Weiwei
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    Abstract

    The concept of generalized order statistics was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to present some further results on univariate stochastic comparisons of generalized order statistics under the more general assumptions on the parameters of the models.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-4FCSC60-1/2/3402b0398e5ef27525351c45d001e449
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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: 163-170

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    Handle: RePEc:eee:stapro:v:72:y:2005:i:2:p:163-170

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    Related research

    Keywords: Likelihood ratio order Hazard rate order Usual stochastic order Dispersive order Order statistics Generalized order statistics;

    References

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    1. Khaledi, Baha-Eldin & Kochar, Subhash, 2000. "On dispersive ordering between order statistics in one-sample and two-sample problems," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 257-261, February.
    2. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
    3. Erhard Cramer & Udo Kamps, 2003. "Marginal distributions of sequential and generalized order statistics," Metrika, Springer, vol. 58(3), pages 293-310, December.
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    Cited by:
    1. Yashi Wang & Weiwei Zhuang & Taizhong Hu, 2010. "Conditionally stochastic domination of generalized order statistics from two samples," Statistical Papers, Springer, vol. 51(2), pages 369-373, June.
    2. Burkschat, M. & Kamps, U. & Kateri, M., 2010. "Sequential order statistics with an order statistics prior," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1826-1836, September.
    3. Hashemi, Marzieh & Tavangar, Mahdi & Asadi, Majid, 2010. "Some properties of the residual lifetime of progressively Type-II right censored order statistics," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 848-859, May.
    4. Xie, Hongmei & Hu, Taizhong, 2010. "Some new results on multivariate dispersive ordering of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 964-970, April.

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