Survival function and density estimation for truncated dependent data

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	Survival function and density estimation for truncated dependent data
	Sun, LQ; Zhou, X
	2001-03-15
发表期刊	STATISTICS & PROBABILITY LETTERS
ISSN	0167-7152
卷号	52 期号:1 页码:47-57
摘要	In some long-term studies, a series of dependent and possibly truncated lifetimes may be observed. Suppose that the lifetimes have a common marginal distribution function. Under some regularity conditions, we provide a strong representation of the product-limit estimator in the form of an average of random variables plus a remainder term. In addition, we also give asymptotic representations for the kernel estimators of the density and the hazard rate. These representations enable us to obtain the asymptotic normality and the uniform consistency of the estimators. (C) 2001 Elsevier Science B.V. All rights reserved.
关键词	alpha-mixing product-limit estimator kernel density and hazard rate estimation strong representation
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000167311000006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16031
专题	应用数学研究所
作者单位	1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Sun, LQ,Zhou, X. Survival function and density estimation for truncated dependent data[J]. STATISTICS & PROBABILITY LETTERS,2001,52(1):47-57.
APA	Sun, LQ,&Zhou, X.(2001).Survival function and density estimation for truncated dependent data.STATISTICS & PROBABILITY LETTERS,52(1),47-57.
MLA	Sun, LQ,et al."Survival function and density estimation for truncated dependent data".STATISTICS & PROBABILITY LETTERS 52.1(2001):47-57.