Finite sample breakdown point of Tukey’s halfspace median
文献类型：期刊论文
| 作者 | Liu Xiaohui1; Zuo Yijun2; Wang Qihua3
|
| 刊名 | Science China. Mathematics
 |
| 出版日期 | 2017 |
| 卷号 | 60期号:5页码:861 |
| ISSN号 | 1674-7283 |
| 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. |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/38169]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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