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On the skewness of order statistics with applications

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  • Subhash Kochar
  • Maochao Xu

Abstract

Order statistics from heterogeneous samples have been extensively studied in the literature. However, most of the work focused on the effect of heterogeneity on the magnitude or dispersion of order statistics. In this paper, we study the skewness of order statistics from heterogeneous samples according to star ordering. The main results extend the corresponding results in Kochar and Xu (J. Appl. Probab. 46:342–352, 2009 ; J. Appl. Probab. 48:271–284, 2011 ). Examples and applications are highlighted as well. Copyright Springer Science+Business Media, LLC 2014

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  • Subhash Kochar & Maochao Xu, 2014. "On the skewness of order statistics with applications," Annals of Operations Research, Springer, vol. 212(1), pages 127-138, January.
    • Handle: RePEc:spr:annopr:v:212:y:2014:i:1:p:127-138:10.1007/s10479-012-1212-4
    DOI: 10.1007/s10479-012-1212-4
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    References listed on IDEAS

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    1. Kochar, Subhash, 2006. "Lorenz ordering of order statistics," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1855-1860, November.
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    Cited by:

    1. Ebrahim Amini-Seresht & Jianfei Qiao & Yiying Zhang & Peng Zhao, 2016. "On the skewness of order statistics in multiple-outlier PHR models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(7), pages 817-836, October.

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