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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)2151-2170
Number of pages20
JournalJournal of Applied Statistics
Issue number10
Publication statusPublished - 2023

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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