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Sensitivity Analysis of SAR Estimators: A Simulation Study

Author

Listed:
  • Shuangzhe Liu

    () (University of Canberra, Australia)

  • Wolfgang Polasek

    () (Institute for Advanced Studies (IHS), Austria; The Rimini Centre for Economic Analysis (RCEA), Italy)

  • Richard Sellner

    () (Institute for Advanced Studies (IHS), Austria)

Abstract

Spatial autoregressive models come with a variety of estimators and it is interesting and useful to compare the estimators by location and covariance properties. In this paper, we first study the local sensitivity behavior of the main least squares estimator by using matrix derivatives. We then calculate the Taylor approximation of the least squares estimator in the SAR model up to the second order. Also, we compare the estimators of the spatial autoregression (SAR) model in terms of the covariance structure of the least squares estimators and we make efficiency comparisons using Kantorovich inequalities. Finally, we demonstrate our approach by an example for GDP and employment in 239 European NUTS2 regions. We find a quite good approximation behavior of the SAR estimator in the neighborhood of ρ = 0, i.e. a small spatial correlation.

Suggested Citation

  • Shuangzhe Liu & Wolfgang Polasek & Richard Sellner, 2010. "Sensitivity Analysis of SAR Estimators: A Simulation Study," Working Paper series 22_10, Rimini Centre for Economic Analysis, revised Nov 2011.
  • Handle: RePEc:rim:rimwps:22_10
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    File URL: http://www.rcea.org/RePEc/pdf/wp22_10.pdf
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    References listed on IDEAS

    as
    1. Seo, Myung Hwan & Linton, Oliver, 2007. "A smoothed least squares estimator for threshold regression models," Journal of Econometrics, Elsevier, vol. 141(2), pages 704-735, December.
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    4. Easterly, William & Levine, Ross, 2003. "Tropics, germs, and crops: how endowments influence economic development," Journal of Monetary Economics, Elsevier, vol. 50(1), pages 3-39, January.
    5. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    6. Daron Acemoglu & Simon Johnson & James A. Robinson, 2001. "The Colonial Origins of Comparative Development: An Empirical Investigation," American Economic Review, American Economic Association, vol. 91(5), pages 1369-1401, December.
    7. Gonzalo, Jesus & Wolf, Michael, 2005. "Subsampling inference in threshold autoregressive models," Journal of Econometrics, Elsevier, pages 201-224.
    8. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", pages 129-137.
    9. Li, Qi & Wooldridge, Jeffrey M., 2002. "Semiparametric Estimation Of Partially Linear Models For Dependent Data With Generated Regressors," Econometric Theory, Cambridge University Press, vol. 18(03), pages 625-645, June.
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    More about this item

    Keywords

    Spatial autoregressive models; least-squares estimators; Taylor approximations; Kantorovich inequality;

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