Additive-multiplicative rates model for recurrent events

作者：Liu Yanyan; Wu Yuanshan; Cai Jianwen^*; Zhou Haibo

来源：Lifetime Data Analysis, 2010, 16(3): 353-373.

DOI：10.1007/s10985-010-9160-2

• Recurrent events
• Rate regression
• Additive-multiplicative rates model
• Counting process
• Empirical process

Recurrent events are frequently encountered in biomedical studies. Evaluating the covariates effects on the marginal recurrent event rate is of practical interest. There are mainly two types of rate models for the recurrent event data: the multiplicative rates model and the additive rates model. We consider a more flexible additive-multiplicative rates model for analysis of recurrent event data, wherein some covariate effects are additive while others are multiplicative. We formulate estimating equations for estimating the regression parameters. The estimators for these regression parameters are shown to be consistent and asymptotically normally distributed under appropriate regularity conditions. Moreover, the estimator of the baseline mean function is proposed and its large sample properties are investigated. We also conduct simulation studies to evaluate the finite sample behavior of the proposed estimators. A medical study of patients with cystic fibrosis suffered from recurrent pulmonary exacerbations is provided for illustration of the proposed method.

• 出版日期2010-7
• 单位武汉大学