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Joint analysis of recurrent event data with additive–multiplicative hazards model for the terminal event time

Author

Listed:
  • Miao Han

    (Shanghai University of Finance and Economics)

  • Liuquan Sun

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Yutao Liu

    (Central University of Finance and Economics)

  • Jun Zhu

    (Chinese Academy of Sciences)

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.

Suggested Citation

  • Miao Han & Liuquan Sun & Yutao Liu & Jun Zhu, 2018. "Joint analysis of recurrent event data with additive–multiplicative hazards model for the terminal event time," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(5), pages 523-547, July.
    • Handle: RePEc:spr:metrik:v:81:y:2018:i:5:d:10.1007_s00184-018-0654-3
    DOI: 10.1007/s00184-018-0654-3
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