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Fine-Gray proportional subdistribution hazards model for competing risks data under length-biased sampling
Zhang, Feipeng1; Peng, Heng2; Zhou, Yong3,4
2019
Source PublicationSTATISTICS AND ITS INTERFACE
ISSN1938-7989
Volume12Issue:1Pages:107-122
AbstractIn this paper, we study the Fine-Gray proportional sub-distribution hazards model for the competing risks data under length-biased sampling. To exploit the special structure of length-biased sampling, we propose an unbiased estimating equation estimator, which can handle both covariate-independent censoring and the covariate-dependent censoring. The large sample properties of the proposed estimator are derived, model-checking techniques for the model adequacy are developed, and the pointwise confidence intervals and the simultaneous confidence bands for the predicted cumulative incidence functions are also constructed. Simulation studies are conducted to assess the finite sample performance of the proposed estimator. An application to the employment data illustrates the method and theory.
KeywordCompeting risks data Length-biased sampling Fine-Gray model Model checking techniques
Language英语
Funding ProjectNational Natural Science Foundation of China[11771133] ; National Natural Science Foundation of China[11401194] ; CEGR grant of the Research Grants Council of Hong Kong[HKBU 12302615] ; CEGR grant of the Research Grants Council of Hong Kong[HKBU 12303618] ; FRG grants from Hong Kong Baptist University[FRG2/16-17/042] ; Natural Science Foundation of Hunan Province, China[2017JJ3021] ; State Key Program of National Natural Science Foundation of China[71331006] ; State Key Program in the Major Research Plan of National Natural Science Foundation of China[91546202]
WOS Research AreaMathematical & Computational Biology ; Mathematics
WOS SubjectMathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000460758600010
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33463
Collection应用数学研究所
Corresponding AuthorPeng, Heng
Affiliation1.Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
2.Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China
3.East China Normal Univ, Sch Stat, Shanghai 200241, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Feipeng,Peng, Heng,Zhou, Yong. Fine-Gray proportional subdistribution hazards model for competing risks data under length-biased sampling[J]. STATISTICS AND ITS INTERFACE,2019,12(1):107-122.
APA Zhang, Feipeng,Peng, Heng,&Zhou, Yong.(2019).Fine-Gray proportional subdistribution hazards model for competing risks data under length-biased sampling.STATISTICS AND ITS INTERFACE,12(1),107-122.
MLA Zhang, Feipeng,et al."Fine-Gray proportional subdistribution hazards model for competing risks data under length-biased sampling".STATISTICS AND ITS INTERFACE 12.1(2019):107-122.
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