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GMM estimation of the autoregressiveparameter in a spatial autoregressive errormodel using regression residuals

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  • Arnold, Matthias

Abstract

This paper suggests an improved GMM estimator for the autoregressive parameter of a spatial autoregressive error model by taking into account that unobservable regression disturbances are di.erent from observable regression residuals. Although this di.erence decreases in large samples, it is important in small samples. Monte Carlo simu­lations show that the bias can be reduced by 65 - 80% compared to a GMM estimator that neglects the difference between disturbances and residuals. The mean squared error is smaller, too.

Suggested Citation

  • Arnold, Matthias, 2007. "GMM estimation of the autoregressiveparameter in a spatial autoregressive errormodel using regression residuals," Technical Reports 2007,25, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200725
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    References listed on IDEAS

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    1. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
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    5. Kelejian, Harry H. & Prucha, Ingmar R., 2004. "Estimation of simultaneous systems of spatially interrelated cross sectional equations," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 27-50.
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