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Additive hazards regression of failure time data with covariate measurement errors

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  • Liuquan Sun
  • Zhigang Zhang
  • Jianguo Sun

Abstract

This paper discusses regression analysis of failure time data under the additive hazards model, with covariates subject to measurement errors. In particular, we consider the situation where there may exist only repeated measurements or observations on the covariates with measurement errors, and for which there does not exist any method for inference. A nonparametric‐correction approach is proposed for inference about regression parameters and the baseline cumulative hazards function. Both asymptotic and finite sample properties of the proposed estimators are established and the approach is applied to an AIDS clinical trial that motivated this study.

Suggested Citation

  • Liuquan Sun & Zhigang Zhang & Jianguo Sun, 2006. "Additive hazards regression of failure time data with covariate measurement errors," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(4), pages 497-509, November.
    • Handle: RePEc:bla:stanee:v:60:y:2006:i:4:p:497-509
    DOI: 10.1111/j.1467-9574.2006.00340.x
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    Cited by:

    1. Sandip Barui & Grace Y. Yi, 2020. "Semiparametric methods for survival data with measurement error under additive hazards cure rate models," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(3), pages 421-450, July.
    2. Ying Yan & Grace Y. Yi, 2016. "Analysis of error-prone survival data under additive hazards models: measurement error effects and adjustments," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 22(3), pages 321-342, July.
    3. Ying Yan & Grace Y. Yi, 2016. "A Class of Functional Methods for Error-Contaminated Survival Data Under Additive Hazards Models with Replicate Measurements," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(514), pages 684-695, April.
    4. Wang, Shuying & Wang, Chunjie & Wang, Peijie & Sun, Jianguo, 2018. "Semiparametric analysis of the additive hazards model with informatively interval-censored failure time data," Computational Statistics & Data Analysis, Elsevier, vol. 125(C), pages 1-9.

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