The Asymptotics for Panel Models with Common Shocks
Chihwa Kao (),
Lorenzo Trapani () and
Giovanni Urga ()
Additional contact information Lorenzo Trapani: Cass Business School and Bergamo University
Giovanni Urga: Cass Business School
Abstract:
This paper develops a novel asymptotic theory for panel models with common shocks. We assume that contemporaneous correlation can be generated by both the presence of common regressors among units and weak spatial dependence among the error terms. Several characteristics of the panel are considered: cross sectional and time series dimensions can either be fixed or large; factors can either be observable or unobservable; the factor model can describe either cointegration relationship or a spurious regression, and we also consider the stationary case. We derive the rate of convergence and the distribution limits for the ordinary least squares (OLS) estimates of the model parameters under all the aforementioned cases.