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A new estimating equation approach for marginal hazard ratio estimation

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  • Niu, Yi
  • Peng, Yingwei

Abstract

Clustered failure time data often arise in biomedical studies and a marginal regression modeling approach is often preferred to avoid assumption on the dependence structure within clusters. A novel estimating equation approach is proposed based on a semiparametric marginal proportional hazards model to take the correlation within clusters into account. Different from the traditional marginal method for clustered failure time data, our method explicitly models the correlation structure within clusters by using a pre-specified working correlation matrix. The estimates from the proposed method are proved to be consistent and asymptotically normal. Simulation studies show that the proposed method is more efficient than the existing marginal methods. Finally, the model and the proposed method are applied to a kidney infections study.

Suggested Citation

  • Niu, Yi & Peng, Yingwei, 2015. "A new estimating equation approach for marginal hazard ratio estimation," Computational Statistics & Data Analysis, Elsevier, vol. 87(C), pages 46-56.
    • Handle: RePEc:eee:csdana:v:87:y:2015:i:c:p:46-56
    DOI: 10.1016/j.csda.2015.01.012
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    References listed on IDEAS

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    1. Nilanjan Chatterjee & Joanna Shih, 2001. "A Bivariate Cure-Mixture Approach for Modeling Familial Association in Diseases," Biometrics, The International Biometric Society, vol. 57(3), pages 779-786, September.
    2. Limin X. Clegg & Jianwen Cai & Pranab K. Sen, 1999. "A Marginal Mixed Baseline Hazards Model for Multivariate Failure Time Data," Biometrics, The International Biometric Society, vol. 55(3), pages 805-812, September.
    3. Yuan, Ke-Hai & Jennrich, Robert I., 1998. "Asymptotics of Estimating Equations under Natural Conditions," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 245-260, May.
    4. Nader Ebrahimi, 2006. "Models for recurring events with marginal proportional hazards," Biometrika, Biometrika Trust, vol. 93(2), pages 481-485, June.
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    Cited by:

    1. Hongkai Liang & Xiaoguang Wang & Yingwei Peng & Yi Niu, 2023. "Improving marginal hazard ratio estimation using quadratic inference functions," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(4), pages 823-853, October.

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