ESTIMATION OF UNIT ROOT SPATIAL DYNAMIC PANEL DATA MODELS

This paper examines the asymptotics of the QMLE for unit root dynamic panel data models with spatial effect and fixed effects. We consider a unit root dynamic panel data model with spatially correlated disturbances and a unit root spatial dynamic panel data model. For both models the estimate of the dynamic coefficient is √nT 3 consistent and the estimates of other parameters are √nT consistent, and all of them are asymptotically normal. For the latter model the sum of the contemporaneous spatial effect and dynamic spatial effect converges at √nT 3 rate. We also propose a bias-correction procedure so that the asymptotic biases of those estimates are eliminated as long as n/T 3 →0.