On sample ranges in multiple-outlier models

@article{Zhao2012OnSR,
  title={On sample ranges in multiple-outlier models},
  author={Peng Zhao and Yiying Zhang},
  journal={J. Multivariate Analysis},
  year={2012},
  volume={111},
  pages={335-349}
}
In this paper, we investigate the ordering properties of sample ranges arising from multiple-outlier models in terms of the reversed hazard rate order and the usual stochastic order. Under the setup of an exponential model, it is shown that the weak majorization order between the two hazard rate vectors is equivalent to the reversed hazard rate order between exponential sample ranges; the p-larger order between two hazard rate vectors implies the usual stochastic order between exponential… CONTINUE READING

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