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Neglected dynamics and spatial dependence on panel data: consequences for convergence of the usual static model estimators

Author

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  • Alain Pirotte

    (CRED - Centre de Recherche en Economie et Droit - UP2 - Université Panthéon-Assas)

  • Jesús Mur

    (Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse)

Abstract

Neglected dynamics and spatial dependence on panel data: consequences for convergence of the usual static model estimators. Spatial Economic Analysis. This article assumes that the estimated model is static, whereas the true model is an autoregressive distributed lag error components model including spatial dependence on the disturbances. We derive the probability limits of the ordinary least squares (OLS), Between and Within estimators of a static model on panel data. The results show that asymptotic biases of these estimators vary mainly according to the degree of spatial autocorrelation, the unobservable individual heterogeneity and the data generating process (DGP) of the explanatory variable. The probability limit of the Between estimator converges to the long-run effects, particularly when the individual unobserved heterogeneity is large, when compared with the idiosyncratic error term, and/or there is a strong time dynamic in the regressors. The interpretation is more contrasted for the OLS and Within estimators. The former can be associated under very restrictive conditions with the long-run effects; the latter with the short-run effects.
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Suggested Citation

  • Alain Pirotte & Jesús Mur, 2016. "Neglected dynamics and spatial dependence on panel data: consequences for convergence of the usual static model estimators," Post-Print hal-04149276, HAL.
    • Handle: RePEc:hal:journl:hal-04149276
    DOI: 10.1080/17421772.2016.1232839
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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.
    2. Yang, Zhenlin, 2010. "A robust LM test for spatial error components," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 299-310, September.
    3. Georges Bresson & Badi H. Baltagi & Alain Pirotte, 2007. "Panel unit root tests and spatial dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 339-360.
    4. Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.
    5. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    6. James C. Murdoch & Tod Sandler & Keith Sargent, 1997. "A Tale of Two Collectives: Sulphur versus Nitrogen Oxides Emission Reduction in Europe," Economica, London School of Economics and Political Science, vol. 64(254), pages 281-301, May.
    7. Baltagi, Badi H. & Song, Seuck Heun & Koh, Won, 2003. "Testing panel data regression models with spatial error correlation," Journal of Econometrics, Elsevier, vol. 117(1), pages 123-150, November.
    8. Griliches, Zvi & Hausman, Jerry A., 1986. "Errors in variables in panel data," Journal of Econometrics, Elsevier, vol. 31(1), pages 93-118, February.
    9. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    10. A. Pirotte, 2003. "Convergence of the static estimation toward the long-run effects of dynamic panel data models: a labour demand illustration," Applied Economics Letters, Taylor & Francis Journals, vol. 10(13), pages 843-847.
    11. Hao Zhang & Dale L. Zimmerman, 2005. "Towards reconciling two asymptotic frameworks in spatial statistics," Biometrika, Biometrika Trust, vol. 92(4), pages 921-936, December.
    12. Baltagi, Badi H. & Pirotte, Alain, 2010. "Panel data inference under spatial dependence," Economic Modelling, Elsevier, vol. 27(6), pages 1368-1381, November.
    13. Vasilis Sarafidis & Donald Robertson, 2009. "On the impact of error cross-sectional dependence in short dynamic panel estimation," Econometrics Journal, Royal Economic Society, vol. 12(1), pages 62-81, March.
    14. Baltagi, Badi H. & Heun Song, Seuck & Cheol Jung, Byoung & Koh, Won, 2007. "Testing for serial correlation, spatial autocorrelation and random effects using panel data," Journal of Econometrics, Elsevier, vol. 140(1), pages 5-51, September.
    15. Badi H. Baltagi & Zhenlin Yang, 2013. "Standardized LM tests for spatial error dependence in linear or panel regressions," Econometrics Journal, Royal Economic Society, vol. 16(1), pages 103-134, February.
    16. Nerlove, Marc, 1971. "Further Evidence on the Estimation of Dynamic Economic Relations from a Time Series of Cross Sections," Econometrica, Econometric Society, vol. 39(2), pages 359-382, March.
    17. H. Kelejian, Harry & Prucha, Ingmar R., 2001. "On the asymptotic distribution of the Moran I test statistic with applications," Journal of Econometrics, Elsevier, vol. 104(2), pages 219-257, September.
    18. Pesaran, M. Hashem, 2015. "Time Series and Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780198759980.
    19. Badi H. Baltagi & Peter Egger & Michael Pfaffermayr, 2013. "A Generalized Spatial Panel Data Model with Random Effects," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 650-685, August.
    20. Baltagi, Badi H & Griffin, James M, 1984. "Short and Long Run Effects in Pooled Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 631-645, October.
    21. Baltagi, Badi H. & Song, Seuck Heun & Kwon, Jae Hyeok, 2009. "Testing for heteroskedasticity and spatial correlation in a random effects panel data model," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 2897-2922, June.
    22. Pirotte, Alain, 1999. "Convergence of the static estimation toward the long run effects of dynamic panel data models," Economics Letters, Elsevier, vol. 63(2), pages 151-158, May.
    23. Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, vol. 72(6), pages 1899-1925, November.
    24. Simon, Julian L & Aigner, Dennis J, 1970. "Cross-Section and Time-Series Tests of the Permanent-Income Hypothesis," American Economic Review, American Economic Association, vol. 60(3), pages 341-351, June.
    25. I. T. van den Doel & J. F. Kiviet, 1995. "Neglected dynamics in panel data models; consequences and detection in finite samples," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 49(3), pages 343-361, November.
    26. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
    27. Antonio Paez, 2004. "Network Accessibility and the Spatial Distribution of Economic Activity in Eastern Asia," Urban Studies, Urban Studies Journal Limited, vol. 41(11), pages 2211-2230, October.
    28. Peter Egger & Michael Pfaffermayr, 2005. "Estimating Long and Short Run Effects in Static Panel Models," Econometric Reviews, Taylor & Francis Journals, vol. 23(3), pages 199-214.
    29. Windmeijer, Frank, 2005. "A finite sample correction for the variance of linear efficient two-step GMM estimators," Journal of Econometrics, Elsevier, vol. 126(1), pages 25-51, May.
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    2. Desbordes, Rodolphe & Koop, Gary & Vicard, Vincent, 2018. "One size does not fit all… panel data: Bayesian model averaging and data poolability," Economic Modelling, Elsevier, vol. 75(C), pages 364-376.

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