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A general additive-multiplicative rates model for recurrent and terminal events

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Abstract

Recurrent events data with a terminal event (e.g. death) often arise in clinical and observational studies. Most of existing models assume multiplicative covariate effects and model the conditional recurrent event rate given survival. In this article, we propose a general additive-multiplicative rates model for recurrent event data in the presence of a terminal event, where the terminal event stop the further occurrence of recurrent events. Based on the estimating equation approach and the inverse probability weighting technique, we propose two procedures for estimating the regression parameters and the baseline mean function. The asymptotic properties of the resulting estimators are established. In addition, some graphical and numerical procedures are presented for model checking. The finite-sample behavior of the proposed methods is examined through simulation studies, and an application to a bladder cancer study is also illustrated.

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Authors and Affiliations

  1. School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, China

    Xi-ming Cheng, Fang-yuan Kang & Xin Wang

  2. School of Mathematical Science, Capital Normal University, Beijing, 10048, China

    Jie Zhou

Authors
  1. Xi-ming Cheng
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  2. Fang-yuan Kang
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  3. Jie Zhou
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  4. Xin Wang
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Corresponding author

Correspondence to Xi-ming Cheng.

Additional information

Supported by the National Natural Science Foundation of China (No. 11371354), Young Elite Program of Beijing (YETP150) and Science and Technology Project of Beijing Municipal Education Commission (KM201411232019).

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Cheng, Xm., Kang, Fy., Zhou, J. et al. A general additive-multiplicative rates model for recurrent and terminal events. Acta Math. Appl. Sin. Engl. Ser. 31, 1115–1130 (2015). https://doi.org/10.1007/s10255-015-0540-y

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  • DOI: https://doi.org/10.1007/s10255-015-0540-y

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