Efficient estimation of a Cox model when integrating the subgroup incidence rate information

Pei Fang Su, Junjiang Zhong, Yi Chia Liu, Tzu Hsuan Lin, Huang Tz Ou

研究成果: Article同行評審

摘要

Incidence rates for diseases are widely used in the field of medical research because they lead to clear and simple physical and clinical interpretations. In this study, we propose an efficient estimation method that incorporates auxiliary subgroup information related to the incidence rate into the estimation of the Cox proportional hazard model. The results show that utilizing the incidence rate information improves the efficiency of the estimation of regression parameters based on the double empirical likelihood method compared to that for conventional models that do not incorporation such information. We show that estimators of regression parameters asymptotically follow a multivariate normal distribution with a variance-covariance matrix that can be consistently estimated. Simulation results indicate that the proposed estimators significantly increase efficiency. Finally, an example of the effects of type 2 diabetes on stroke is applied to demonstrate the proposed method.

原文English
期刊Journal of Applied Statistics
DOIs
出版狀態Accepted/In press - 2022

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 統計、概率和不確定性

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