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Journal of Systems Science and Complexity

, Volume 31, Issue 5, pp 1377–1390 | Cite as

An Additive Hazards Model for Clustered Recurrent Gap Times

  • Fangyuan Kang
  • Liuquan Sun
  • Ximing Cheng
Article

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.

Keywords

Additive hazards model cluster gap time model checking recurrent event 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Applied ScienceBeijing Information Science and Technology UniversityBeijingChina
  2. 2.Institute of Applied Mathematics, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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