LARGE SAMPLE AND ROBUST PROPERTIES OF (L)over-tilde(2)-MEDIAN

doi:10.1007/s11424-010-8423-z

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	LARGE SAMPLE AND ROBUST PROPERTIES OF (L)over-tilde(2)-MEDIAN
	Xie, Tianfa 1; Li, Guoying 2
	2010-12-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	23 期号:6 页码:1133-1142
摘要	As a competitive depth, (L) over tilde (2)-depth is modified from L-2-depth. Its induced median is called (L) over tilde (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) over tilde (2)-median has both good large-sample and robust properties. Simulation studies are also given to compare the breakdown point of (L) over tilde (2)-median with that of other depth-induced medians.
关键词	Breakdown point consistency data depth influence function multivariate median
DOI	10.1007/s11424-010-8423-z
语种	英语
资助项目	National Natural Science Foundation of China[10971007] ; Higher Education[20091103120012] ; research fund of BJUT[X0006013200904]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000286095100007
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10978
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, Tianfa
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xie, Tianfa,Li, Guoying. LARGE SAMPLE AND ROBUST PROPERTIES OF (L)over-tilde(2)-MEDIAN[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2010,23(6):1133-1142.
APA	Xie, Tianfa,&Li, Guoying.(2010).LARGE SAMPLE AND ROBUST PROPERTIES OF (L)over-tilde(2)-MEDIAN.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,23(6),1133-1142.
MLA	Xie, Tianfa,et al."LARGE SAMPLE AND ROBUST PROPERTIES OF (L)over-tilde(2)-MEDIAN".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 23.6(2010):1133-1142.