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An Additive Hazards Model for Clustered Recurrent Gap Times

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Abstract

In this article, clustered recurrent gap time is investigated. A marginal additive hazards model is proposed without specifying the association of the individuals within the same cluster. The relationship among the gap times for the same individual is also left unspecified. An estimating equation-based inference procedure is developed for the model parameters, and the asymptotic properties of the resulting estimators are established. In addition, a lack-of-fit test is presented to assess the adequacy of the model. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a clinic study on chronic granulomatous disease (CGD) is illustrated.

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Authors and Affiliations

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

    Fangyuan Kang & Ximing Cheng

  2. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Liuquan Sun

Authors
  1. Fangyuan Kang
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  2. Liuquan Sun
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  3. Ximing Cheng
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Corresponding author

Correspondence to Fangyuan Kang.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11501037, 11771431, and 11690015.

This paper was recommended for publication by Editor YU Zhangsheng.

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Kang, F., Sun, L. & Cheng, X. An Additive Hazards Model for Clustered Recurrent Gap Times. J Syst Sci Complex 31, 1377–1390 (2018). https://doi.org/10.1007/s11424-018-6329-3

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  • DOI: https://doi.org/10.1007/s11424-018-6329-3

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