On the skewness of order statistics in multiple-outlier PHR models

Ebrahim Amini-Seresht, Jianfei Qiao, Yiying Zhang and Peng Zhao ()
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Ebrahim Amini-Seresht: Bu-Ali Sina University
Jianfei Qiao: Lanzhou University
Yiying Zhang: The University of Hong Kong
Peng Zhao: Jiangsu Normal University

Metrika: International Journal for Theoretical and Applied Statistics, 2016, vol. 79, issue 7, No 3, 817-836

Abstract: Abstract In this paper, we investigate the skewness of order statistics stemming from multiple-outlier proportional hazard rates samples in the sense of several variability orderings such as the star order, Lorenz order and dispersive order. It is shown that the more heterogeneity among the multiple-outlier components will lead to a more skewed lifetime of a k-out-of-n system consisting of these components. The results established here generalize the corresponding ones in Kochar and Xu (J Appl Probab 48:271–284, 2011, Ann Oper Res 212:127–138, 2014). Some numerical examples are also provided to illustrate the theoretical results.

Keywords: Star order; Skewness; Order statistic; k-Out-of-n system; Majorization; Primary 90B25; Secondary 60E15 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-016-0579-7

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