STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS

Author:

Belzunce Félix,Mercader José-Angel,Ruiz José-María

Abstract

In this article, we give several results on (multivariate and univariate) stochastic comparisons of generalized order statistics. We give conditions on the underlying distributions and the parameters on which the generalized order statistics are based, to obtain stochastic comparisons in the stochastic, dispersive, hazard rate, and likelihood ratio orders. Our results generalize some recent results for order statistics, record values, and generalized order statistics and provide some new results for other models such ask-record values and order statistics under multivariate imperfect repair.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Reference34 articles.

1. Shaked, M. & Shanthikumar, J.G. (1986).Multivariate imperfect repair.Operations Research 34:437–448.

2. Pellerey, F. , Shaked, M. , & Zinn, J. (2000).Nonhomogeneous Poisson processes and logconcavity.Probability in the Engineering and Informational Sciences 14:353–373.

3. Pfeifer, D. (1979).“Record values” in einem stochastischen Modell mitnicht-identischen Verteilungen.Dissertation,Aachen University of Technology.

4. Boland, P.J. , Hu, T. , Shaked, M. , & Shanthikumar, J.G. (2002).Stochastic ordering of order statistics II. In M. Dror , P. L'Ecuyer , & F. Szidarovszky (eds.),Modelling uncertainty: An examination of stochastic theory, methodsand applications.Boston:Kluwer Academic, pp.607–623.

5. Shaked, M. & Szekli, R. (1995).Comparison of replacement policies via point processes.Advances in Applied Probability 27:1079–1103.

Cited by 69 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3