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引用本文:������,������,�. ������Multiple-Outlierģ�͵���С����ͳ����������[J]. 应用概率统计, 2017, 34(3): 317-330. DOI: 10.3969/j.issn.1001-4268.2017.03.009
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Ordering Properties of Minima from Multiple-Outlier Models
CHENG MeiFang,FANG LongXiang,YANG Fang. Ordering Properties of Minima from Multiple-Outlier Models[J]. Chinese Journal of Applied Probability and Statisties, 2017, 34(3): 317-330. DOI: 10.3969/j.issn.1001-4268.2017.03.009
Authors:CHENG MeiFang  FANG LongXiang  YANG Fang
Affiliation:School of Mathematics and Computer Science, Anhui Normal University
Abstract:??In this paper, we compare the smallest order statisticsarising from multiple-outlier models when the numbers of independent andidentically distributed random variables are different. Let and denote the smallest order statistics among, and,respectively, whereand. We then prove that $and are ordered in terms of the usual stochastic order,hazard rate order and likelihood ratio order under the majorization relationshipbetween and.
Keywords:multiple-outlier model  usual stochastic order  hazard
rate order
  likelihood ratio order  smallest order statistics  proportional
hazard rate model
  
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