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Inference in a mixture additive hazards cure model
Han, Dongxiao1,2; He, Haijin3; Sun, Liuquan4; Song, Xinyuan5; Xu, Wei6,7
AbstractWe propose a mixture additive hazards (AH) cure model for survival data with a cure fraction. The proposed model integrates a logistic regression model for the proportion of patients cured of disease and an AH model for the uncured patients. Generalized estimating equations are developed for parameter estimation, and the asymptotic properties of the resulting estimators are established. In addition, model-checking methods are presented to assess the adequacy of the model. The finite-sample performance of the proposed method is evaluated through simulation studies. An application to a human papillomavirus positive oropharyngeal cancer study is conducted to illustrate the proposed method.
KeywordAdditive hazards model Cure model Estimating equation Logistic regression Mixture Model checking
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China (NSFC)[11701387] ; Natural Science Foundation of Shenzhen[JCYJ20190808173603590] ; Natural Science Foundation of Shenzhen[JCYJ20170817100950436] ; NSFC[11771431] ; NSFC[11690015] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; Research Grant Council of the HKSAR[14301918] ; Research Grant Council of the HKSAR[14303017] ; Canadian Institute of Health Research[145546] ; Natural Science and Engineering Research Council of Canada[RGPIN-2017-06672] ; Chinese University of Hong Kong
WOS Research AreaMathematical & Computational Biology ; Mathematics
WOS SubjectMathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000617450600008
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Document Type期刊论文
Corresponding AuthorHe, Haijin
Affiliation1.Nankai Univ, Sch Stat & Data Sci, LPMC, Tianjin, Peoples R China
2.Nankai Univ, KLMDASR, Tianjin, Peoples R China
3.Shenzhen Univ, Coll Math & Stat, Shenzhen Key Lab Adv Machine Learning & Applicat, Shenzhen, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China
5.Chinese Univ Hong Kong, Dept Stat, Hong Kong, Peoples R China
6.Univ Toronto, Princess Margaret Canc Ctr, Dept Biostat, Toronto, ON, Canada
7.Univ Toronto, Dalla Lana Sch Publ Hlth, Toronto, ON, Canada
Recommended Citation
GB/T 7714
Han, Dongxiao,He, Haijin,Sun, Liuquan,et al. Inference in a mixture additive hazards cure model[J]. STATISTICS AND ITS INTERFACE,2021,14(3):323-338.
APA Han, Dongxiao,He, Haijin,Sun, Liuquan,Song, Xinyuan,&Xu, Wei.(2021).Inference in a mixture additive hazards cure model.STATISTICS AND ITS INTERFACE,14(3),323-338.
MLA Han, Dongxiao,et al."Inference in a mixture additive hazards cure model".STATISTICS AND ITS INTERFACE 14.3(2021):323-338.
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