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Codependent VAR Models and the Pseudo-Structural Form

  • Trenkler, Carsten
  • Weber, Enzo

This paper investigates whether codependence restrictions can be uniquely imposed on VAR and VEC models via the so-called pseudo-structural form used in the literature. Codependence of order q is given if a linear combination of autocorrelated variables eliminates the serial correlation after q lags. Importantly, maximum likelihood estimation and likelihood ratio testing are only possible if the codependence restrictions can be uniquely imposed. Applying the pseudostructural form, our study reveals that this is not generally the case, but that unique imposition is guaranteed in several important special cases. Moreover, we discuss further issues, in particular upper bounds for the codependence order.

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File URL: https://ub-madoc.bib.uni-mannheim.de/31690/1/Trenkler_%26_Weber_10%2D12.pdf
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Paper provided by University of Mannheim, Department of Economics in its series Working Papers with number 12-10.

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Date of creation: 2012
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Handle: RePEc:mnh:wpaper:31690
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  1. Vahid, Farshid & Issler, João Victor, 2001. "The Importance of Common Cyclical Features in VAR Analysis: A Monte-Carlo Study," Economics Working Papers (Ensaios Economicos da EPGE) 417, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  2. Robert F. Engle & Sharon Kozicki, 1990. "Testing For Common Features," NBER Technical Working Papers 0091, National Bureau of Economic Research, Inc.
  3. Vahid, F & Engle, Robert F, 1993. "Common Trends and Common Cycles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(4), pages 341-60, Oct.-Dec..
  4. repec:fgv:epgrbe:v:47:n:2:a:1 is not listed on IDEAS
  5. Trenkler, Carsten & Weber, Enzo, 2012. "Codependent VAR Models and the Pseudo-Structural Form," Working Papers 12-10, University of Mannheim, Department of Economics.
  6. Christoph Schleicher, 2004. "Codependence in Cointegrated Autoregressive Models," Computing in Economics and Finance 2004 286, Society for Computational Economics.
  7. Franchi, Massimo & Paruolo, Paolo, 2011. "A characterization of vector autoregressive processes with common cyclical features," Journal of Econometrics, Elsevier, vol. 163(1), pages 105-117, July.
  8. Trenkler, Carsten & Weber, Enzo, 2010. "Testing for Codependence of Non-Stationary Variables," University of Regensburg Working Papers in Business, Economics and Management Information Systems 446, University of Regensburg, Department of Economics.
  9. Paruolo Paolo, 2003. "Common dynamics in I(1) VAR systems," Economics and Quantitative Methods qf0316, Department of Economics, University of Insubria.
  10. Gouriéroux, Christian & Peaucelle, Irina, 1992. "Séries codépendantes : application à l’hypothèse de parité du pouvoir d’achat," L'Actualité Economique, Société Canadienne de Science Economique, vol. 68(1), pages 283-304, mars et j.
  11. Cubadda, Gianluca & Hecq, Alain, 2001. "On non-contemporaneous short-run co-movements," Economics Letters, Elsevier, vol. 73(3), pages 389-397, December.
  12. Engle, Robert F & Kozicki, Sharon, 1993. "Testing for Common Features: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 393-95, October.
  13. Vahid, Farshid & Engle, Robert F., 1997. "Codependent cycles," Journal of Econometrics, Elsevier, vol. 80(2), pages 199-221, October.
  14. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
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