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Finite sample breakdown point of Tukey’s halfspace median
Liu Xiaohui1; Zuo Yijun2; Wang Qihua3
2017
Source PublicationScience China. Mathematics
ISSN1674-7283
Volume60Issue:5Pages:861
AbstractTukey’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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/38170
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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