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Finite sample breakdown point of Tukey's halfspace median

文献类型：期刊论文

作者Liu, XiaoHui1,2; Zuo, YiJun3; Wang, QiHua4,5
刊名SCIENCE CHINA-MATHEMATICS
出版日期2017-05-01
卷号60期号:5页码:861-874
关键词Tukey depth Tukey median breakdown point in general position
ISSN号1674-7283
DOI10.1007/s11425-016-0285-1
英文摘要Tukey's halfspace median (HM), servicing as the multivariate counterpart of the univariate median, has been introduced and extensively studied in the literature. It is supposed and expected to preserve robustness property (the most outstanding property) of the univariate median. One of prevalent quantitative assessments of robustness is finite sample breakdown point (FSBP). Indeed, the FSBP of many multivariate medians have been identified, except for the most prevailing one-the Tukey's halfspace median. This paper presents a precise result on FSBP for Tukey's halfspace median. The result here depicts the complete prospect of the global robustness of HM in the finite sample practical scenario, revealing the dimension effect on the breakdown point robustness and complimenting the existing asymptotic breakdown point result.
资助项目National Natural Science Foundation of China[11601197] ; National Natural Science Foundation of China[11461029] ; National Natural Science Foundation of China[71463020] ; National Natural Science Foundation of China[61263014] ; National Natural Science Foundation of China[61563018] ; National Natural Science Foundation of China[11171331] ; National Natural Science Foundation of China[11331011] ; National Science Foundation of Jiangxi Province[20161BAB201024] ; National Science Foundation of Jiangxi Province[20142BAB211014] ; National Science Foundation of Jiangxi Province[20143ACB21012] ; National Science Foundation of Jiangxi Province[20151BAB211016] ; Key Science Fund Project of Jiangxi Provincial Education Department[GJJ150439] ; Key Science Fund Project of Jiangxi Provincial Education Department[KJLD13033] ; Key Science Fund Project of Jiangxi Provincial Education Department[KJLD14034] ; National Science Fund for Distinguished Young Scholars in China[10725106] ; Key Lab of Random Complex Structure and Data Science, Chinese Academy of Sciences ; Natural Science Foundation of Shenzhen University
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000400086700006
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26033]  
专题应用数学研究所
通讯作者Liu, XiaoHui
作者单位1.Jiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China
2.Jiangxi Univ Finance & Econ, Res Ctr Appl Stat, Nanchang 330013, Jiangxi, Peoples R China
3.Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48823 USA
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
5.Shenzhen Univ, Inst Stat Sci, Shenzhen 518006, Peoples R China
推荐引用方式
GB/T 7714		 Liu, XiaoHui,Zuo, YiJun,Wang, QiHua. Finite sample breakdown point of Tukey's halfspace median[J]. SCIENCE CHINA-MATHEMATICS,2017,60(5):861-874.
APA Liu, XiaoHui,Zuo, YiJun,&Wang, QiHua.(2017).Finite sample breakdown point of Tukey's halfspace median.SCIENCE CHINA-MATHEMATICS,60(5),861-874.
MLA Liu, XiaoHui,et al."Finite sample breakdown point of Tukey's halfspace median".SCIENCE CHINA-MATHEMATICS 60.5(2017):861-874.

入库方式： OAI收割

来源：数学与系统科学研究院

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