Convergence rate of estimators of clustered panel models with misclassification

Abstract

We study kmeans clustering estimation of panel data models with a latent group structure and N units and T time periods under long panel asymptotics. We show that the group-speci c coe cients can be estimated at the parametric root NT rate even if error variances diverge as T ! 1 and some units are asymptotically misclassi ed. This limit case approximates empirically relevant settings and is not covered by existing asymptotic results.