Asymptotically efficient product-limit estimators with censoring indicators missing at random

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	Asymptotically efficient product-limit estimators with censoring indicators missing at random
	Wang, Qihua1,2 ; Ng, Kai W.2
	2008-04-01
发表期刊	STATISTICA SINICA
ISSN	1017-0405
卷号	18 期号:2 页码:749-768
摘要	In this paper, we develop methods for estimating a survival function with censoring indicators missing at random. The resulting methods lead to the use of imputation and inverse probability weighting. We give several asymptotically efficient PL estimators. All the estimators are proved to be strongly uniformly consistent and weakly convergent to a Gaussian process. Further, it is shown that these estimators are asymptotically efficient. A simulation study was carried out to evaluate the finite sample performances of the proposed estimators and compare the proposed estimators with van der Laan and McKeague's (1998) estimator under missing at random (MAR.) and missing completely at random (MCAR) assumptions, respectively.
关键词	missing at random product-limit estimator random censorship
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000255885400020
出版者	STATISTICA SINICA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5393
专题	应用数学研究所
通讯作者	Wang, Qihua
作者单位	1.Chinese Acad Sci, 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, Qihua,Ng, Kai W.. Asymptotically efficient product-limit estimators with censoring indicators missing at random[J]. STATISTICA SINICA,2008,18(2):749-768.
APA	Wang, Qihua,&Ng, Kai W..(2008).Asymptotically efficient product-limit estimators with censoring indicators missing at random.STATISTICA SINICA,18(2),749-768.
MLA	Wang, Qihua,et al."Asymptotically efficient product-limit estimators with censoring indicators missing at random".STATISTICA SINICA 18.2(2008):749-768.