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Cointegration Vector Estimation By Dols For A Three-Dimensional Panel

  • Luis Fernando Melo

    ()

  • John Jairo León

    ()

  • Dagoberto Saboya

    ()

This paper extends the asymptotic results of the dynamic ordinary least squares (DOLS) cointegration vector estimator of Mark and Sul (2003) to a three-dimensional panel. We use a balanced panel of N and M lengths observed over T time periods. The cointegration vector is homogenous across individuals but we allow for individual heterogeneity using different short-run dynamics, individual-specific fixed effects and individual-specific time trends. Both individual effects are considered for the first two dimensions. We also model some degree of cross-sectional dependence using time-specific effects.This paper was motivated by the three-dimensional panel cointegration analysis used to estimate the total factor productivity for Colombian regions and sectors during 1975-2000 by Iregui, Melo and Ram´ırez (2007). They used the methodology proposed by Marrocu, Paci and Pala (2000); however, hypothesis testing is not valid under this technique. The methodology we are currently proposing allows us to estimate the long-run relationship and to construct asymptotically valid test statistics in the 3D-panel context.

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Paper provided by BANCO DE LA REPÚBLICA in its series BORRADORES DE ECONOMIA with number 004391.

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Length: 10
Date of creation: 17 Dec 2007
Date of revision:
Handle: RePEc:col:000094:004391
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  1. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
  2. R. Paci & R. Pala & E. Marrocu, 2000. "Estimation of total factor productivity for regions and sectors in Italy. A panel cointegration approach," Working Paper CRENoS 200016, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
  3. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-77, August.
  4. repec:cup:etheor:v:7:y:1991:i:1:p:1-21 is not listed on IDEAS
  5. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(01), pages 1-21, March.
  6. Ana María Iregui & Luis Fernando Melo & María Teresa Ramírez, 2006. "Productividad Regional Y Sectorial En Colombia:Análisis Utilizando Datos De Panel," BORRADORES DE ECONOMIA 003387, BANCO DE LA REPÚBLICA.
  7. Jeroen J.M. Kremers & Neil R. Ericsson & Juan J. Dolado, 1992. "The power of cointegration tests," International Finance Discussion Papers 431, Board of Governors of the Federal Reserve System (U.S.).
  8. Peter C.B. Phillips & Mico Loretan, 1989. "Estimating Long Run Economic Equilibria," Cowles Foundation Discussion Papers 928, Cowles Foundation for Research in Economics, Yale University.
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