On sample ranges in multiple-outlier models

JOURNAL OF MULTIVARIATE ANALYSIS

卷:111

Article

Zhao, Peng^1,2  Zhang, Yiying² 

[1] Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

关键词: Usual stochastic order;    Reversed hazard rate order;    Likelihood ratio order;    Majorization;    p-larger;   

DOI  :  10.1016/j.jmva.2012.04.010

来源: Elsevier

【 摘 要 】

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 sample ranges. Under the setup of a proportional hazard rate (PHR) model, we prove that the majorizaton order between two parameter vectors implies the usual stochastic order between sample ranges. The results established here strengthen and generalize some of the results known in the literature. Some numerical examples are provided to illustrate the theoretical results. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free