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A semiparametric linear transformation model for general biased-sampling and right-censored data
Wei, Wenhua1,4; Zhou, Yong2,5; Wan, Alan T. K.3,6
2019
Source PublicationSTATISTICS AND ITS INTERFACE
ISSN1938-7989
Volume12Issue:1Pages:77-92
AbstractThe semiparametric linear transformation (SLT) model is a useful alternative to the proportional hazards ([9]) and proportional odds ([4]) models for studying the dependency of survival time on covariates. In this paper, we consider the SLT model for biased-sampling and right-censored data, a feature commonly encountered in clinical trials. Specifically, we develop an unbiased estimating equations approach based on counting process for the simultaneous estimation of unknown coefficients and handling of sampling bias. We establish the consistency and the asymptotic normality of the proposed estimator, and provide a closed form expression for the estimator's covariance matrix that can be consistently estimated by a plug-in method. In a simulation study, we compare the finite sample properties of the proposed estimator with those of existing methods that either assumes that the sampling bias is of the length-bias type, or ignores the sampling bias altogether. The proposed method is further illustrated by two real clinical datasets.
KeywordBiased-sampling Estimating equation Right-censoring Semiparametric linear transformation model
Language英语
Funding ProjectShanghai University of Finance and Economics[2017110070] ; State Key Program in the Major Research Plan of National Natural Science Foundation of China[91546202] ; State Key Program of National Natural Science Foundation of China[71331006] ; Innovative Research Team of Shanghai University of Finance and Economics[IRTSHUFE13122402] ; Theme-Based Research Scheme from the Hong Kong Research Grants Council[T32-102/14N] ; General Research Fund from the Hong Kong Research Grants Council[9042086] ; City University of Hong Kong[7004786]
WOS Research AreaMathematical & Computational Biology ; Mathematics
WOS SubjectMathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000460758600008
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33450
Collection应用数学研究所
Corresponding AuthorWei, Wenhua
Affiliation1.Shanghai Univ Finance & Econ, Shanghai, Peoples R China
2.Acad Math & Syst Sci, Beijing, Peoples R China
3.City Univ Hong Kong, Hong Kong, Peoples R China
4.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
6.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Wei, Wenhua,Zhou, Yong,Wan, Alan T. K.. A semiparametric linear transformation model for general biased-sampling and right-censored data[J]. STATISTICS AND ITS INTERFACE,2019,12(1):77-92.
APA Wei, Wenhua,Zhou, Yong,&Wan, Alan T. K..(2019).A semiparametric linear transformation model for general biased-sampling and right-censored data.STATISTICS AND ITS INTERFACE,12(1),77-92.
MLA Wei, Wenhua,et al."A semiparametric linear transformation model for general biased-sampling and right-censored data".STATISTICS AND ITS INTERFACE 12.1(2019):77-92.
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