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Further results on weak-exogeneity in vector error correction models

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  • Christophe Rault

Abstract

This paper provides a necessary and sufficient condition for weak exogeneity in vector error correction models. An interesting property is that the statistics involved in the sequential procedure for testing this condition are distributed as ?ariables and can therefore easily be calculated with usual statistical computer packages, which makes our approach fully operational empirically. Finally, the power and size distortions of this sequential test procedure are analysed with Monte-Carlo simulations

Suggested Citation

  • Christophe Rault, 2004. "Further results on weak-exogeneity in vector error correction models," Econometric Society 2004 Far Eastern Meetings 402, Econometric Society.
    • Handle: RePEc:ecm:feam04:402
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    File URL: http://repec.org/esFEAM04/up.12128.1071603032.pdf
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    1. Jacqueline Pradel & Christophe Rault, 2003. "Exogeneity in Vector Error Correction Models with Purely Exogenous Long‐Run Paths," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(5), pages 629-653, December.
    2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. J.-F. Richard, 1980. "Models with Several Regimes and Changes in Exogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 1-20.
    4. BAUWENS, Luc & LUBRANO , Michel, 1994. "Identification Restrictions and Posterior Densities in Cointegrated Gaussian VAR Systems," LIDAM Discussion Papers CORE 1994018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Stephen G. Hall & Jennifer V. Greenslade & S. G. Brian Henry, 1999. "On the Identification of Cointegrated Systems in Small Samples: Practical Procedures with an Application to UK Wages and Prices," Computing in Economics and Finance 1999 643, Society for Computational Economics.
    6. Engle, Robert F & Hendry, David F & Richard, Jean-Francois, 1983. "Exogeneity," Econometrica, Econometric Society, vol. 51(2), pages 277-304, March.
    7. Ericsson, Neil R & Hendry, David F & Mizon, Grayham E, 1998. "Exogeneity, Cointegration, and Economic Policy Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 370-387, October.
    8. Urbain, Jean-Pierre, 1992. "On Weak Exogeneity in Error Correction Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(2), pages 187-207, May.
    9. Hendry, D.F. & Mizon, G.E., 1990. "Evaluating Dynamic Econometric Models By Encompassing The Var," Economics Series Working Papers 99102, University of Oxford, Department of Economics.
    10. Johansen, Soren, 1992. "Cointegration in partial systems and the efficiency of single-equation analysis," Journal of Econometrics, Elsevier, vol. 52(3), pages 389-402, June.
    11. Boswijk, H. Peter, 1995. "Efficient inference on cointegration parameters in structural error correction models," Journal of Econometrics, Elsevier, vol. 69(1), pages 133-158, September.
    12. Ericsson, Neil R., 1995. "Conditional and structural error correction models," Journal of Econometrics, Elsevier, vol. 69(1), pages 159-171, September.
    13. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    14. Alain Hecq & Franz Palm & Jean-Pierre Urbain, 2002. "Separation, Weak Exogeneity, And P-T Decomposition In Cointegrated Var Systems With Common Features," Econometric Reviews, Taylor & Francis Journals, vol. 21(3), pages 273-307.
    15. Urbain, Jean-Pierre, 1995. "Partial versus full system modelling of cointegrated systems an empirical illustration," Journal of Econometrics, Elsevier, vol. 69(1), pages 177-210, September.
    16. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    17. Rault, Christophe, 2000. "Non-causality in VAR-ECM models with purely exogenous long-run paths," Economics Letters, Elsevier, vol. 66(1), pages 7-15, January.
    18. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    19. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, Decembrie.
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    Cited by:

    1. Allegret, Jean-Pierre & Sallenave, Audrey, 2014. "The impact of real exchange rates adjustments on global imbalances: A multilateral approach," Economic Modelling, Elsevier, vol. 37(C), pages 149-163.
    2. Imed Drine & Christophe Rault, 2007. "Fluctuations de Change et Performances Economiques," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 50(4), pages 427-444.
    3. Christophe Rault, 2007. "Une synthèse de l'exogénéité dans les modèles vectoriels à correction d'erreurs," Post-Print halshs-00202651, HAL.

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    More about this item

    Keywords

    Cointegration; canonical representation; weak-exogeneity; power; size distortions.;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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