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Analyzing Right-Censored Length-Biased Data with Additive Hazards Model
Zhao, Mu1; Lin, Cun-jie2,3; Zhou, Yong4,5
2017-10-01
Source PublicationACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
Volume33Issue:4Pages:893-908
AbstractLength-biased data are often encountered in observational studies, when the survival times are left-truncated and right-censored and the truncation times follow a uniform distribution. In this article, we propose to analyze such data with the additive hazards model, which specifies that the hazard function is the sum of an arbitrary baseline hazard function and a regression function of covariates. We develop estimating equation approaches to estimate the regression parameters. The resultant estimators are shown to be consistent and asymptotically normal. Some simulation studies and a real data example are used to evaluate the finite sample properties of the proposed estimators.
Keywordadditive hazards model length-biased data dependent censoring estimating equation
DOI10.1007/s10255-017-0705-y
Language英语
Funding ProjectMOE Project of Key Research Institute of Humanities and Social Sciences at Universities[16JJD910002] ; National Natural Science Foundation of China[71331006] ; National Natural Science Foundation of China[91546202] ; National Center for Mathematics and Interdisciplinary Sciences (NCMIS), Key Laboratory of RCSDS, AMSS, CAS[2008DP173182] ; Innovative Research Team of Shanghai University of Finance and Economics[IRTSHUFE13122402]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000418383600005
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29227
Collection应用数学研究所
Affiliation1.Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China
2.Renmin Univ China, Ctr Appl Stat, Beijing 100872, Peoples R China
3.Renmin Univ China, Sch Stat, Beijing 100872, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
5.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Mu,Lin, Cun-jie,Zhou, Yong. Analyzing Right-Censored Length-Biased Data with Additive Hazards Model[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2017,33(4):893-908.
APA Zhao, Mu,Lin, Cun-jie,&Zhou, Yong.(2017).Analyzing Right-Censored Length-Biased Data with Additive Hazards Model.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,33(4),893-908.
MLA Zhao, Mu,et al."Analyzing Right-Censored Length-Biased Data with Additive Hazards Model".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 33.4(2017):893-908.
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