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Estimating Cumulative Treatment Effect Under an Additive Hazards Model

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Abstract

In clinical and epidemiologic studies of time to event, the treatment effect is often of direct interest, and the treatment effect is not constant over time. In this paper, the authors propose an estimator for the cumulative hazard difference under a stratified additive hazards model. The asymptotic properties of the resulting estimator are established, and the finite-sample properties are examined through simulation studies. An application to a liver cirrhosis data set from the Copenhagen Study Group for Liver Diseases is provided.

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Author information

Authors and Affiliations

  1. School of Statistics, Capital University of Economics and Business, Beijing, 100070, China

    Xiaoliang Lü & Baoxue Zhang

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

    Liuquan Sun

Authors
  1. Xiaoliang Lü
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  2. Baoxue Zhang
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  3. Liuquan Sun
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Corresponding author

Correspondence to Liuquan Sun.

Additional information

This paper was partly supported by the National Natural Science Foundation of China under Grant Nos. 11671268, 11771431 and 11690015, the Key Laboratory of RCSDS, CAS under Grant No. 2008DP173182.

This paper was recommended for publication by Editor LI Qizhai.

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Lü, X., Zhang, B. & Sun, L. Estimating Cumulative Treatment Effect Under an Additive Hazards Model. J Syst Sci Complex 34, 724–734 (2021). https://doi.org/10.1007/s11424-020-0067-z

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  • DOI: https://doi.org/10.1007/s11424-020-0067-z

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