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Automatic identification and restriction of the cointegration space

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  • Omtzigt Pieter

    () (Department of Economics, University of Insubria, Italy)

Abstract

We automate the process of finding the cointegration relations in a cointegrated VAR. There is a rigorous separation between the theory part (search directions must be defined, a final model chosen) and the automated search. The decision rules are set in such a way that a theoretical upper limit can be given to the asymptotic size of recovering all overidentifying restrictions. A Monte Carlo study shows that the algorithm works well, but that the properties of the asymptotic tests are rather poor at times. The software (in Matlab) to execute the algorithm is available.

Suggested Citation

  • Omtzigt Pieter, 2002. "Automatic identification and restriction of the cointegration space," Economics and Quantitative Methods qf0213, Department of Economics, University of Insubria.
  • Handle: RePEc:ins:quaeco:qf0213
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    File URL: http://eco.uninsubria.it/dipeco/Quaderni/files/QF2002_25.pdf
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    References listed on IDEAS

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    1. Davidson, James, 1998. "A Wald test of restrictions on the cointegrating space based on Johansen's estimator," Economics Letters, Elsevier, vol. 59(2), pages 183-187, May.
    2. 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.
    3. Davidson, James, 1998. "Structural relations, cointegration and identification: some simple results and their application," Journal of Econometrics, Elsevier, vol. 87(1), pages 87-113, August.
    4. Kevin D. Hoover & Stephen J. Perez, 1999. "Data mining reconsidered: encompassing and the general-to-specific approach to specification search," Econometrics Journal, Royal Economic Society, vol. 2(2), pages 167-191.
    5. Nielsen, Bent & Rahbek, Anders, 2000. " Similarity Issues in Cointegration Analysis," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(1), pages 5-22, February.
    6. repec:spr:stmapp:v:10:y:2001:i:1:d:10.1007_bf02511644 is not listed on IDEAS
    7. Omtzigt Pieter, 2002. "Automatic identification of simultaneous equations models," Economics and Quantitative Methods qf0201, Department of Economics, University of Insubria.
    8. Hendry, David F & Doornik, Jurgen A, 1994. "Modelling Linear Dynamic Econometric Systems," Scottish Journal of Political Economy, Scottish Economic Society, vol. 41(1), pages 1-33, February.
    9. Lovell, Michael C, 1983. "Data Mining," The Review of Economics and Statistics, MIT Press, vol. 65(1), pages 1-12, February.
    10. Omtzigt Pieter & Fachin Stefano, 2002. "Bootstrapping and Bartlett corrections in the cointegrated VAR model," Economics and Quantitative Methods qf0212, Department of Economics, University of Insubria.
    11. 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.
    12. Paolo Paruolo, 2001. "LR cointegration tests when some cointegrating relations are known," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 123-137, January.
    13. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    14. Johansen, Soren, 1995. "Identifying restrictions of linear equations with applications to simultaneous equations and cointegration," Journal of Econometrics, Elsevier, vol. 69(1), pages 111-132, September.
    15. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
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    Cited by:

    1. David F. Hendry & Hans-Martin Krolzig, 2005. "The Properties of Automatic "GETS" Modelling," Economic Journal, Royal Economic Society, vol. 115(502), pages 32-61, March.
    2. Hans-Martin Krolzig, 2003. "General-to-Specific Model Selection Procedures for Structural Vector Autoregressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 769-801, December.
    3. Marçal, Emerson Fernandes & Zimmermann, Beatrice Aline & Mendonça, Diogo de Prince & Merlin, Giovanni Tondin, 2015. "Addressing important econometric issues on how to construct theoretical based exchange rate misalignment estimates," Textos para discussão 401, FGV/EESP - Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
    4. Dietmar Maringer & Peter Winker, 2004. "Optimal Lag Structure Selection in VEC-Models," Computing in Economics and Finance 2004 155, Society for Computational Economics.

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