%0 Journal Article %A CHENG MeiFang %A FANG LongXiang %A YANG Fang %T Ordering Properties of Minima from Multiple-Outlier Models %D 2017 %R 10.3969/j.issn.1001-4268.2017.03.009 %J CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS %P 317-330 %V 33 %N 3 %X
In this paper, we compare the smallest order statistics
arising from multiple-outlier models when the numbers of independent and
identically distributed random variables are different. Let and
denote the smallest order statistics among , and ,
respectively, where and . We then prove that $
and are ordered in terms of the usual stochastic order,
hazard rate order and likelihood ratio order under the majorization relationship
between and .