 The Time Series and Cross-Section Asymptotics of Dynamic Panel Data EstimatorsJ. Alvarez and Manuel Arellano Working Papers from Centro de Estudios Monetarios Y Financieros- 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 T,N and (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 MLE with unrestricted initial conditions when both T and N tend to infinity. Keywords: ECONOMETRIC MODELS; ESTIMATION OF PARAMETERS; TIME SERIES (search for similar items in EconPapers) 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:fth:cemfdt:9808 Access Statistics for this paper More papers in Working Papers from Centro de Estudios Monetarios Y Financieros- Centro de Estudios Monetarios Y Financieros. Casado del Alisal, 5-28014 Madrid, Spain.. Contact information at EDIRC. |
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