On the skewness of order statistics with applications |
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| Authors: | Subhash Kochar Maochao Xu |
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| Affiliation: | 1. Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR, USA
2. Department of Mathematics, Illinois State University, Normal, IL, USA
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| 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. |
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