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Automatic identification of general vector error correction models

Author

Listed:
  • Arbués, Ignacio
  • Ledo, Ramiro
  • Matilla-García, Mariano

Abstract

There are a number of econometrics tools to deal with the different types of situations in which cointegration can appear: I(1), I(2), seasonal, polyno- mial, etc. There are also different kinds of Vector Error Correction models related to these situations. The authors propose a unified theoretical and practical framework to deal with many of these situations. To this aim: (i) they introduce a general class of models and (ii) provide an automatic method to identify models, based on estimating the Smith form of an autoregressive model. Their simulations suggest the power of the new proposed methodology. An empirical example illustrates the methodology.

Suggested Citation

  • Arbués, Ignacio & Ledo, Ramiro & Matilla-García, Mariano, 2016. "Automatic identification of general vector error correction models," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 10, pages 1-41.
  • Handle: RePEc:zbw:ifweej:201626
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    File URL: http://dx.doi.org/10.5018/economics-ejournal.ja.2016-26
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    References listed on IDEAS

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    1. Franchi, Massimo, 2007. "The Integration Order Of Vector Autoregressive Processes," Econometric Theory, Cambridge University Press, vol. 23(03), pages 546-553, June.
    2. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
    3. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    4. C. Worthington, Andrew & Higgs, Helen, 2010. "Assessing Financial Integration in the European Union Equity Markets: Panel Unit Root and Multivariate Cointegration and Causality Evidence," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 25, pages 457-479.
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    6. Granger, C W J & Lee, T H, 1989. "Investigation of Production, Sales and Inventory Relationships Using Multicointegration and Non-symmetric Error Correction Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages 145-159, Supplemen.
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    9. Massimo Franchi, 2006. "A General Representation Theorem for Integrated Vector Autoregressive Processes," Discussion Papers 06-16, University of Copenhagen. Department of Economics.
    10. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    11. Tomás Del Barrio Castro & Denise R. Osborn, 2011. "HEGY Tests in the Presence of Moving Averages," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(5), pages 691-704, October.
    12. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    13. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
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    More about this item

    Keywords

    Time series; unit root; cointegration; error correction; model identification; Smith form;

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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