期刊
JOURNAL OF ECONOMETRICS
卷 146, 期 1, 页码 118-134出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.jeconom.2008.08.002
关键词
Spatial autoregression; Dynamic panels; Fixed effects; Maximum likelihood estimation; Quasi-maximum likelihood estimation; Bias correction
This paper investigates the asymptotic properties of quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects, when both the number of individuals n and the number of time periods T are large. We consider the case where T is asymptotically large relative to n, the case where T is asymptotically proportional to n, and the case where n is asymptotically large relative to T. In the case where T is asymptotically large relative to n, the estimators are root nT consistent and asymptotically normal, with the limit distribution centered around 0. When n is asymptotically proportional to T, the estimators are root nT consistent and asymptotically normal but the limit distribution is not centered around 0; and when n is large relative to T, the estimators are T consistent, and have a degenerate limit distribution. The estimators of the fixed effects are root T consistent and asymptotically normal. We also propose a bias correction for our estimators. We show that when T grows faster than n(1/3), the correction will asymptotically eliminate the bias and yield a centered confidence interval. (C) 2008 Elsevier B.V. All rights reserved.
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