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A Semiparametric Approach for Accelerated Failure Time Models with Covariates Subject to Measurement Error
Authors:Jiajia Zhang  Wenqing He  Haifen Li
Affiliation:1. Department of Epidemiology and Biostatistics , University of South Carolina , Columbia , South Carolina , USA;2. Department of Statistical and Actuarial Sciences , University of Western Ontario , London , Ontario , Canada;3. Department of Epidemiology and Biostatistics , University of South Carolina , Columbia , South Carolina , USA;4. School of Finance and Statistics , East China Normal University , Shanghai , P. R. China
Abstract:There are relatively few discussions about measurement error in the accelerated failure time (AFT) model, particularly for the semiparametric AFT model. In this article, we propose an adjusted estimation procedure for the semiparametric AFT model with covariates subject to measurement error, based on the profile likelihood approach and simulation and exploration (SIMEX) method. The simulation studies show that the proposed semiparametric SIMEX approach performs well. The proposed approach is applied to a coronary heart disease dataset from the Busselton Health study for illustration.
Keywords:Accelerated failure time  Measurement error  Semiparametric approach  Simulation and extrapolation method
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