Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data

doi:10.1111/sjos.12182

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	Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data
	Qiu, Zhiping 1,2; Qin, Jing 3; Zhou, Yong4
	2016-06-01
发表期刊	SCANDINAVIAN JOURNAL OF STATISTICS
ISSN	0303-6898
卷号	43 期号:2 页码:396-415
摘要	Length-biased sampling data are often encountered in the studies of economics, industrial reliability, epidemiology, genetics and cancer screening. The complication of this type of data is due to the fact that the observed lifetimes suffer from left truncation and right censoring, where the left truncation variable has a uniform distribution. In the Cox proportional hazards model, Huang & Qin (Journal of the American Statistical Association, 107, 2012, p. 107) proposed a composite partial likelihood method which not only has the simplicity of the popular partial likelihood estimator, but also can be easily performed by the standard statistical software. The accelerated failure time model has become a useful alternative to the Cox proportional hazards model. In this paper, by using the composite partial likelihood technique, we study this model with length-biased sampling data. The proposed method has a very simple form and is robust when the assumption that the censoring time is independent of the covariate is violated. To ease the difficulty of calculations when solving the non-smooth estimating equation, we use a kernel smoothed estimation method (Heller; Journal of the American Statistical Association, 102, 2007, p. 552). Large sample results and a re-sampling method for the variance estimation are discussed. Some simulation studies are conducted to compare the performance of the proposed method with other existing methods. A real data set is used for illustration.
关键词	accelerated failure time model composite estimating equation kernel smoothing length-biased sampling data rank estimator
DOI	10.1111/sjos.12182
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[71271128] ; National Natural Science Foundation of China[71331006] ; NCMIS, Key Laboratory of RCSDS, AMSS, CAS[2008DP173182] ; Shanghai First-class Discipline A ; IRTSHUFE, PCSIRT[IRT13077] ; Natural Science Foundation of Fujian Province, China[2015J01583]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000382553500011
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23499
专题	应用数学研究所
通讯作者	Zhou, Yong
作者单位	1.Huaqiao Univ, Sch Math Sci, Quanzhou, Peoples R China 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China 3.NIAID, Biostat Res Branch, Bethesda, MD USA 4.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qiu, Zhiping,Qin, Jing,Zhou, Yong. Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data[J]. SCANDINAVIAN JOURNAL OF STATISTICS,2016,43(2):396-415.
APA	Qiu, Zhiping,Qin, Jing,&Zhou, Yong.(2016).Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data.SCANDINAVIAN JOURNAL OF STATISTICS,43(2),396-415.
MLA	Qiu, Zhiping,et al."Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data".SCANDINAVIAN JOURNAL OF STATISTICS 43.2(2016):396-415.