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This paper establishes asymptotic properties of quasi-maximum likelihood estimators for spatial dynamic panel data with both time and individual fixed effects when the number of individuals n and the number of time periods T can be large. We propose a data transformation approach to eliminate the time effects. When n / T → 0, the estimators are
consistent and asymptotically centered normal; when n is asymptotically proportional to T, they are
consistent and asymptotically normal, but the limit distribution is not centered around 0; when n / T → ∞, the estimators are consistent with rate T and have a degenerate limit distribution. We also propose a bias correction for our estimators. When n1/3 / T → 0, the correction will asymptotically eliminate the bias and yield a centered confidence interval. The estimates from the transformation approach can be consistent when n is a fixed finite number.
Correspondence:
c1 Address correspondence to Lung-fei Lee, Department of Economics, Ohio State University, Columbus, OH 43210, USA; e-mail: lflee@econ.ohio-state.edu.
We thank two anonymous referees and the co-editor Jinyong Hahn for their comments and suggestions for improving this paper. Lee acknowledges financial support from NSF under grant SES-0519204.