Finite sample breakdown point of Tukey’s halfspace median

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	Finite sample breakdown point of Tukey’s halfspace median
	Liu Xiaohui 1; Zuo Yijun 2; Wang Qihua3
	2017
发表期刊	Science China. Mathematics
ISSN	1674-7283
卷号	60 期号:5 页码:861
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38170
专题	应用数学研究所
作者单位	1.江西财经大学 2.密西根州立大学 3.中国科学院数学与系统科学研究院
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.
APA	Liu Xiaohui,Zuo Yijun,&Wang Qihua.(2017).Finite sample breakdown point of Tukey’s halfspace median.Science China. Mathematics,60(5),861.
MLA	Liu Xiaohui,et al."Finite sample breakdown point of Tukey’s halfspace median".Science China. Mathematics 60.5(2017):861.