scholarly journals Semiparametric estimation for the additive hazards model with left-truncated and right-censored data

Biometrika ◽  
2013 ◽  
Vol 100 (4) ◽  
pp. 877-888 ◽  
Author(s):  
C.-Y. Huang ◽  
J. Qin
Keyword(s):  
Censored Data ◽  
Semiparametric Estimation ◽  
Additive Hazards Model ◽  
Right Censored Data ◽  
Additive Hazards ◽  
Hazards Model

Estimation of partly linear additive hazards model with left-truncated and right-censored data

2017 ◽  
Vol 17 (6) ◽  
pp. 423-448 ◽  
Author(s):  
Arfan Raheen Afzal ◽  
Cheng Dong ◽  
Xuewen Lu
Keyword(s):  
Censored Data ◽  
Risk Function ◽  
Linear Structure ◽  
Semiparametric Model ◽  
Additive Hazards Model ◽  
Finite Sample ◽  
Right Censored Data ◽  
B Spline ◽  
Additive Hazards ◽  
Hazards Model

In this article, we consider an additive hazards semiparametric model for left-truncated and right-censored data where the risk function has a partly linear structure, we call it the partly linear additive hazards model. The nonlinear components are assumed to be B-splines functions, so the model can be viewed as a semiparametric model with an unknown baseline hazard function and a partly linear parametric risk function, which can model both linear and nonlinear covariate effects, hence is more flexible than a purely linear or nonlinear model. We construct a pseudo-score function to estimate the coefficients of the linear covariates and the B-spline basis functions. The proposed estimators are asymptotically normal under the assumption that the true nonlinear functions are B-spline functions whose knot locations and number of knots are held fixed. On the other hand, when the risk functions are unknown non-parametric functions, the proposed method provides a practical solution to the underlying inference problems. We conduct simulation studies to empirically examine the finite-sample performance of the proposed method and analyze a real dataset for illustration.

scholarly journals Regression Analysis of Additive Hazards Model With Latent Variables

2015 ◽  
Vol 110 (511) ◽  
pp. 1148-1159 ◽  
Author(s):  
Deng Pan ◽  
Haijin He ◽  
Xinyuan Song ◽  
Liuquan Sun
Keyword(s):  
Regression Analysis ◽  
Latent Variables ◽  
Additive Hazards Model ◽  
Additive Hazards ◽  
Hazards Model

Regression analysis of informative current status data with the additive hazards model

2014 ◽  
Vol 21 (2) ◽  
pp. 241-258 ◽  
Author(s):  
Shishun Zhao ◽  
Tao Hu ◽  
Ling Ma ◽  
Peijie Wang ◽  
Jianguo Sun
Keyword(s):  
Regression Analysis ◽  
Current Status Data ◽  
Current Status ◽  
Additive Hazards Model ◽  
Additive Hazards ◽  
Hazards Model ◽  
Status Data
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