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The Additive-multiplicative Hazards Mo del for Multiple Typ e of Recurrent Gap Times
Authors:Zhang Qi-xian  Liu Ji-cai  Guan Qiang
Institution:1. School of Mathematics and Information Engineering, Sanming University, Sanming, Fujian, 365004
2. Department of Statistics, East China Normal University, Shanghai, 200241
Abstract:Recurrent event gap times data frequently arise in biomedical studies and often more than one type of event is of interest. To evaluate the effects of covariates on the marginal recurrent event hazards functions, there exist two types of hazards models: the multiplicative hazards model and the additive hazards model.In the paper, we propose a more flexible additive-multiplicative hazards model for multiple type of recurrent gap times data, wherein some covariates are assumed to be additive while others are multiplicative. An estimating equation approach is presented to estimate the regression parameters. We establish asymptotic properties of the proposed estimators.
Keywords:additive-multiplicative hazards model  estimating equation  gap time  multiple recurrent event data  semi-parametric regression model
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