Joint analysis of recurrent event data with additive–multiplicative hazards model for the terminal event time
Miao Han (),
Liuquan Sun (),
Yutao Liu () and
Jun Zhu
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Miao Han: Shanghai University of Finance and Economics
Liuquan Sun: Chinese Academy of Sciences
Yutao Liu: Central University of Finance and Economics
Jun Zhu: Chinese Academy of Sciences
Metrika: International Journal for Theoretical and Applied Statistics, 2018, vol. 81, issue 5, No 3, 523-547
Abstract:
Abstract Recurrent event data are often collected in longitudinal follow-up studies. In this article, we propose a semiparametric method to model the recurrent and terminal events jointly. We present an additive–multiplicative hazards model for the terminal event and a proportional intensity model for the recurrent events, and a shared frailty is used to model the dependence between the recurrent and terminal events. We adopt estimating equation approaches for inference, and the asymptotic properties of the resulting estimators are established. The finite sample behavior of the proposed estimators is evaluated through simulation studies. An application to a medical cost study of chronic heart failure patients from the University of Virginia Health System is illustrated.
Keywords: Additive–multiplicative hazard model; Estimating equation; Frailty; Recurrent events; Terminal event (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:81:y:2018:i:5:d:10.1007_s00184-018-0654-3
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DOI: 10.1007/s00184-018-0654-3
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