On a General Class of Semiparametric Hazards Regression Models for Recurrent Gap Times  

作　　者：Qin JIANG Hui ZHAO Hong QIN 

机构地区：[1]Department of Statistics,Central China Normal University,Wuhan 430079,China [2]Department of Mathematics,Huanggang Normal University,Huanggang 438000,China [3]Department of Statistics,Zhongnan University of Economics and Law,Wuhan 430073,China

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第3期549-563,共15页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11471135,11861030);by the Natural Science Foundation of Hubei Province(No.2018CFC825);by National Statistical Scientific Research Project(No.2018LY17)

摘　　要：In the article,we investigate a general class of semiparametric hazards regression models for recurrent gap times.The general class includes the proportional hazards model,the accelerated failure time model and the accelerated hazards models as special cases.The model is flexible in modelling recurrent gap times since a covariate effect is identified as having two separate components,namely a time-scale change on hazard progression and a relative hazards ratio.In order to infer the model parameters,the procedure is proposed based on estimating equations.The asymptotic properties of the proposed estimators are established and the finite sample properties are investigated via simulation studies.In addition,a lack of fit test is presented to assess the adequacy of the model and an application of data from a bladder cancer study is reported for illustration.In the article, we investigate a general class of semiparametric hazards regression models for recurrent gap times. The general class includes the proportional hazards model, the accelerated failure time model and the accelerated hazards models as special cases. The model is flexible in modelling recurrent gap times since a covariate effect is identified as having two separate components, namely a time-scale change on hazard progression and a relative hazards ratio. In order to infer the model parameters, the procedure is proposed based on estimating equations. The asymptotic properties of the proposed estimators are established and the finite sample properties are investigated via simulation studies. In addition, a lack of fit test is presented to assess the adequacy of the model and an application of data from a bladder cancer study is reported for illustration.

关 键 词：GAP TIMES MODEL CHECKING RECURRENT events estimating equations SEMIPARAMETRIC MODEL 

分 类 号：O1[理学—数学]