# Quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects when both n and T are large

*Jihai Yu* (),
*Robert de Jong* and
*Lung-Fei Lee* ()

*Journal of Econometrics*, 2008, vol. 146, issue 1, 118-134

**Abstract:**
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 consistent and asymptotically normal, with the limit distribution centered around 0. When n is asymptotically proportional to T, the estimators are 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 consistent and asymptotically normal. We also propose a bias correction for our estimators. We show that when T grows faster than n1/3, the correction will asymptotically eliminate the bias and yield a centered confidence interval.

**Keywords:** Spatial; autoregression; Dynamic; panels; Fixed; effects; Maximum; likelihood; estimation; Quasi-maximum; likelihood; estimation; Bias; correction (search for similar items in EconPapers)

**Date:** 2008

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**Persistent link:** https://EconPapers.repec.org/RePEc:eee:econom:v:146:y:2008:i:1:p:118-134

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