 The Time Series and Cross-Section Asymptotics of Dynamic Panel Data EstimatorsJavier Alvarez and Manuel Arellano Econometrica, 2003, vol. 71, issue 4, 1121-1159 Abstract: In this paper we derive the asymptotic properties of within groups (WG), GMM, and LIML estimators for an autoregressive model with random effects when both T and N tend to infinity. GMM and LIML are consistent and asymptotically equivalent to the WG estimator. When T/N→ 0 the fixed T results for GMM and LIML remain valid, but WG, although consistent, has an asymptotic bias in its asymptotic distribution. When T/N tends to a positive constant, the WG, GMM, and LIML estimators exhibit negative asymptotic biases of order 1/T, 1/N, and 1/(2N - T), respectively. In addition, the crude GMM estimator that neglects the autocorrelation in first differenced errors is inconsistent as T/N→c>0, despite being consistent for fixed T. Finally, we discuss the properties of a random effects pseudo MLE with unrestricted initial conditions when both T and N tend to infinity. Copyright The Econometric Society 2003. Date: 2003 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ecm:emetrp:v:71:y:2003:i:4:p:1121-1159 Ordering information: This journal article can be ordered from Access Statistics for this article Econometrica is currently edited by Guido Imbens More articles in Econometrica from Econometric Society Contact information at EDIRC. |
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