A Berry-Essen inequality for the Kaplan-Meier L-estimator

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	A Berry-Essen inequality for the Kaplan-Meier L-estimator
	Wang, QH; Zhu, LX
	2001
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	17 期号:1 页码:169-180
摘要	Let (F) over cap (n) be the Kaplan-Meier estimator of distribution function F. Let J(.) be a measureable real-valued function. In this paper, a U-statistic representation for the Kaplan-Meier L-estimator, T((F) over cap (n)) = integral xJ((F) over cap (n)(x)) d (F) over cap (n)(x), is derived. Furthermore, the representation is also used to establish a Berry-Essen inequality for T((F) over cap (n)).
关键词	Kaplan-Meier L-estimator U-statistic representation Berry-Essen inequality
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000166696200016
出版者	SPRINGER-VERLAG SINGAPORE PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16331
专题	应用数学研究所
通讯作者	Wang, QH
作者单位	1.Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Wang, QH,Zhu, LX. A Berry-Essen inequality for the Kaplan-Meier L-estimator[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2001,17(1):169-180.
APA	Wang, QH,&Zhu, LX.(2001).A Berry-Essen inequality for the Kaplan-Meier L-estimator.ACTA MATHEMATICA SINICA-ENGLISH SERIES,17(1),169-180.
MLA	Wang, QH,et al."A Berry-Essen inequality for the Kaplan-Meier L-estimator".ACTA MATHEMATICA SINICA-ENGLISH SERIES 17.1(2001):169-180.