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 .
Fund:
The project was supported by the National Natural Science
Foundation of China (Grant No. 11201003), the Provincial Natural Science Research
Project of Anhui Colleges (Grant No. KJ2016A263), the Natural Science Foundation
of Anhui Province (Grant No. 1408085MA07), and the PhD Research Startup Foundation
of Anhui Normal University (Grant No. 2014bsqdjj34).
CHENG MeiFang,FANG LongXiang,YANG Fang. Ordering Properties of Minima from Multiple-Outlier Models[J]. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2017, 34(3): 317-330.
