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An Additive-Multiplicative Cox-Aalen Subdistribution Hazard Model for Competing Risks Data

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Abstract

This paper proposes a flexible additive-multiplicative Cox-Aalen hazard model which allows time-varying covariate effects for the subdistribution in a competing risks study. Weighted estimating equation approaches under an covariates-dependent adjusted weight by fitting the Cox proportional hazard model for the censoring distribution are established for inference on the model parametric and nonparametric components. In addition, large number properties are presented and the finite sample behavior of the proposed estimators is evaluated through simulation studies, estimators from the proposed method perform satisfactorily on reduction of the bias. The authors apply our model to a competing risks data set from a tamoxifen trail for breast cancer study.

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Author information

Authors and Affiliations

  1. Department of Statistics, School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, China

    Wanxing Li

  2. School of Mathematics, Renmin University of China, Beijing, 100872, China

    Yonghong Long

Authors
  1. Wanxing Li
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  2. Yonghong Long
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Corresponding author

Correspondence to Wanxing Li.

Additional information

This research was supported by “the Fundamental Research Funds for the Central Universities” under Grant Nos. GK201903006 and GK201901008.

This paper was recommended for publication by Editor YU Zhangsheng.

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Li, W., Long, Y. An Additive-Multiplicative Cox-Aalen Subdistribution Hazard Model for Competing Risks Data. J Syst Sci Complex 32, 1727–1746 (2019). https://doi.org/10.1007/s11424-019-7281-6

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  • DOI: https://doi.org/10.1007/s11424-019-7281-6

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