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Smoothed estimator of quantile residual lifetime for right censored data

文献类型：期刊论文

作者Zhang Li1; Liu Peng2; Zhou Yong1,2
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2015-12-01
卷号28期号:6页码:1374-1388
关键词Empirical process estimating equation influence curve Kaplan-Meier estimator kernel smoothing quantile residual lifetime right censored data
ISSN号1009-6124
DOI10.1007/s11424-015-3067-7
英文摘要It is of great interest to estimate quantile residual lifetime in medical science and many other fields. In survival analysis, Kaplan-Meier (K-M) estimator has been widely used to estimate the survival distribution. However, it is well-known that the K-M estimator is not continuous, thus it can not always be used to calculate quantile residual lifetime. In this paper, the authors propose a kernel smoothing method to give an estimator of quantile residual lifetime. By using modern empirical process techniques, the consistency and the asymptotic normality of the proposed estimator are provided neatly. The authors also present the empirical small sample performances of the estimator. Deficiency is introduced to compare the performance of the proposed estimator with the naive unsmoothed estimator of the quantile residaul lifetime. Further simulation studies indicate that the proposed estimator performs very well.
资助项目National Natural Science Foundation of China[71271128] ; State Key Program of National Natural Science Foundation of China[71331006] ; NCMIS ; Key Laboratory of RCSDS, CAS ; IRTSHUFE, PCSIRT[IRT13077] ; Graduate Innovation Fund of Shanghai University of Finance and Economics[CXJJ-2011-429]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000365875400010
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21439]  
专题应用数学研究所
通讯作者Zhang Li
作者单位1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Zhang Li,Liu Peng,Zhou Yong. Smoothed estimator of quantile residual lifetime for right censored data[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(6):1374-1388.
APA Zhang Li,Liu Peng,&Zhou Yong.(2015).Smoothed estimator of quantile residual lifetime for right censored data.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(6),1374-1388.
MLA Zhang Li,et al."Smoothed estimator of quantile residual lifetime for right censored data".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.6(2015):1374-1388.

入库方式： OAI收割

来源：数学与系统科学研究院

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