We consider the linear regression model with censored dependent variable, where the disturbance terms are restricted only to have zero conditional median (or other prespecified quantile) given the regressors and the censoring point. Thus, the functional form of the conditional distribution of...

This note proves that the estimator of panel data censored regression models proposed in Honoré [2] is median unbiased when only one parameter is estimated. This result is obtained without parametric assumptions about the distribution of the error terms.