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Joint analysis of recurrent event data with a dependent terminal event

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Abstract

Recurrent event data frequently occur in many longitudinal studies, and the observation on recurrent events could be stopped by a terminal event such as death. This paper considers joint modeling and analysis of recurrent event and terminal event data through a common subject-specific frailty, in which the proportional intensity model is used for modeling the recurrent event process and the additive hazards model is used for modeling the terminal event time. Estimating equation approaches are developed for parameter estimation and asymptotic properties of the resulting estimators are established. In addition, some procedures are presented for model checking. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a heart failure study is provided.

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Author information

Authors and Affiliations

  1. School of Statistics, University of International Business and Economics, Beijing, 100029, China

    Peng Ye

  2. School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China

    Jiajia Dai

  3. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Jun Zhu

Authors
  1. Peng Ye
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  2. Jiajia Dai
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  3. Jun Zhu
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Corresponding author

Correspondence to Jun Zhu.

Additional information

YE’s work was supported by the National Natural Science Foundation of China under Grant No. 11601080 and “the Fundamental Research Funds for the Central Universities” in UIBE under Grant No. 15QD16; DAI’s work was supported by the National Natural Science Foundation of China under Grant No. 11361015.

This paper was recommended for publication by Editor YU Zhangsheng.

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Ye, P., Dai, J. & Zhu, J. Joint analysis of recurrent event data with a dependent terminal event. J Syst Sci Complex 30, 1443–1458 (2017). https://doi.org/10.1007/s11424-017-6097-5

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  • DOI: https://doi.org/10.1007/s11424-017-6097-5

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