Additive-multiplicative Hazards Model for Case-Cohort Studies with Multiple Disease Outcomes

作     者：Jun-e LIU Jie ZHOU 

作者机构：School of Statistics and ManagementShanghai University of Finance and Economics School of ManagementHuaibei Normal University School of MathematicsCapital Normal University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2017年第33卷第1期

页      面：183-192页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：partly supported by the Natural Science Research Project of Universities of Anhui Province(No.KJ2016B026) partly supported by the National Natural Science Foundation of China Grants(No.11301355) the Technology Foundation for Selected Overseas Chinese Scholar,Ministry of Personnel of Beijing,China 

主　　题：case-cohort studies additive-multiplicative model marginal hazards model multiple disease out-comes 

摘      要：Case-cohort design is an efficient and economical design to study risk factors for diseases with expensive measurements, especially when the disease rate is low. When several diseases are of interest, multiple case-cohort design studies may be conducted using the same subcohort. To study the association between risk factors and each disease occurrence or death, we consider a general additive-multiplicative hazards model for case-cohort designs with multiple disease outcomes. We present an estimation procedure for the regression parameters of the additive-multiplicative hazards model, and show that the proposed estimator is consistent and asymptotically normal. Large sample approximation works well in finite sample studies in simulation. Finally, we apply the proposed method to a real data example for illustration.