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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Acknowledgements
The authors are grateful to the anonymous referee for carefully reading the manuscript and giving constructive comments, which led to this improved version of the paper. The second author was supported by NFIG at Illinois State University.
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Kochar, S., Xu, M. On the skewness of order statistics with applications. Ann Oper Res 212, 127–138 (2014). https://doi.org/10.1007/s10479-012-1212-4
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DOI: https://doi.org/10.1007/s10479-012-1212-4