A Semiparametric Approach for Accelerated Failure Time Models with Covariates Subject to Measurement Error

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

Mathematics Subject Classification:

• 62N01
• 62N02