Estimation of Linear Error-in-Covariables Models with Validation Data Under Random Censorship

Consider the linear models of the form Y=Xτβ+ε with the response Y censored randomly on the right and X measured erroneously. Without specifying any error models, in this paper, a semiparametric method is applied to the estimation of the parametric vector β with the help of proper validation data. For the proposed estimator, an asymptotic representation is established and the asymptotic normality is also proved.