Time-varying parameter models with endogenous regressors

This paper provides a framework for dealing with endogeneity problems in the time-varying parameter models. A Heckman-type two-step MLE procedure is derived for consistent estimation of the hyper-parameters as well as correct inferences on the time-varying coefficients [Heckman, J.J., 1976, The common structure of statistical models of truncation, sample selection, and limited dependent variables and a simple estimator for such models, Annals of Economic and Social Measurement, 5, 475–492.].