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Hazard Model with Random Treatment Time-Lag Effect

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Abstract

In clinical studies, it is often that the medical treatments take a period of time before having an effect on patients and the delayed time may vary from person to person. Even though there exists a rich literature developing methods to estimate the time-lag period and treatment effects after lag time, most of these existing studies assume a fixed lag time. In this paper, we propose a hazard model incorporating a random treatment time-lag effect to describe the heterogeneous treatment effect among subjects. The EM algorithm is used to obtain the maximum likelihood estimator. We give the asymptotic properties of the proposed estimator and evaluate its performance via simulation studies. An application of the proposed method to real data is provided.

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Acknowledgements

We thank the editor, associate editor, and reviewers for their careful review and insightful comments, which have led to a significant improvement of the article.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China

    Xin Ye & Yan Yan Liu

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  1. Xin Ye
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  2. Yan Yan Liu
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Correspondence to Yan Yan Liu.

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The authors declare no conflict of interest.

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Supported by the National Natural Science Foundation of China (Grant No. 11971362)

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Ye, X., Liu, Y.Y. Hazard Model with Random Treatment Time-Lag Effect. Acta. Math. Sin.-English Ser. 39, 1755–1767 (2023). https://doi.org/10.1007/s10114-023-1391-8

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  • DOI: https://doi.org/10.1007/s10114-023-1391-8

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