LARGE SAMPLE AND ROBUST PROPERTIES OF L^2-MEDIAN

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	LARGE SAMPLE AND ROBUST PROPERTIES OF L^2-MEDIAN
其他题名	LARGE SAMPLE AND ROBUST PROPERTIES OF L^2-MEDIAN
	Xie Tianfa 1; Li Guoying 2
	2010
发表期刊	系统科学与复杂性：英文版
ISSN	1009-6124
卷号	000 期号:006 页码:1133-1142
摘要	As a competitive depth, L^2-depth is modified from L^2-depth. Its induced median is called L^2-median. Basic properties of the median and its sample version are provided. Especially, the strong consistency of sample median is gained under weaker condition. Robustness of the median and its sample version is discussed. Besides ease of computation, it is shown that L^2-median has both good large-sample and robust properties. Simulation studies are also given to compare the breakdown point of L^2-median with that of other depth-induced medians.
其他摘要	As a competitive depth, L^2-depth is modified from L^2-depth. Its induced median is called L^2-median. Basic properties of the median and its sample version are provided. Especially, the strong consistency of sample median is gained under weaker condition. Robustness of the median and its sample version is discussed. Besides ease of computation, it is shown that L^2-median has both good large-sample and robust properties. Simulation studies are also given to compare the breakdown point of L^2-median with that of other depth-induced medians.
关键词	中位数鲁棒性能大样本强相合性弱条件稳健性崩溃点诱导
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:4077088
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54229
专题	中国科学院数学与系统科学研究院
作者单位	1.北京工业大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Xie Tianfa,Li Guoying. LARGE SAMPLE AND ROBUST PROPERTIES OF L^2-MEDIAN[J]. 系统科学与复杂性：英文版,2010,000(006):1133-1142.
APA	Xie Tianfa,&Li Guoying.(2010).LARGE SAMPLE AND ROBUST PROPERTIES OF L^2-MEDIAN.系统科学与复杂性：英文版,000(006),1133-1142.
MLA	Xie Tianfa,et al."LARGE SAMPLE AND ROBUST PROPERTIES OF L^2-MEDIAN".系统科学与复杂性：英文版 000.006(2010):1133-1142.