A Simulation-Extrapolation Method for Bivariate Survival Data with Covariates Subject to Measurement Error

DepartmentofStatisticsandActuarialScience,UniversityofWaterloo,200UniversityAvenueWest,Waterloo, ON, Canada N2L 3G1AbstractInrecentyears,usingfrailtymodelstoanalyzebivariatesurvivaldatahasattractedcon-siderable interest. The validity of standard inference methods in this setting relies onthe assumption that explanatory variables are precisely measured. In the presence ofmeasurement error in one or more covariates, the resulting estimates of model parame-ters may be biased. In this paper we describe a simulation-extrapolation method of an-alyzing bivariate survival data when some covariates are subject to measurement error.Through simulation studies we evaluate the performance of the proposed method, aswell as the impact of ignoring measurement error in covariates. The proposed methodisillustrated byanalyzinga dataset arising from the Busselton Health Study (Knuimanet al. 1994).Keywords: Accelerated life regression model, bivariate time-to-event data, measure-ment error, simulation-extrapolation.2000 Mathematics Subject Classification: 62H12, 62F99.

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