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LR cointegration tests when some cointegrating relations are known

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  • Paruolo Paolo

    (Department of Economics, University of Insubria, Italy)

Abstract

This paper considers the asymptotic analysis of the likelihood ratio (LR), cointegration (CI) rank test in vector autoregressive models (VAR) when some CI vectors are known and fixed. It is shown that the limit law is free of nuisance parameters. In the case of LR tests against the alternative of completely unrestricted CI space, the limit law can be expressed as the convolution of known distributions. This deconvolution is employed to approximate the quantiles of the distribution, without resorting to new simulations.

Suggested Citation

  • Paruolo Paolo, "undated". "LR cointegration tests when some cointegrating relations are known," Economics and Quantitative Methods qf0106, Department of Economics, University of Insubria.
  • Handle: RePEc:ins:quaeco:qf0106
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    Cited by:

    1. Bernasconi, Michele & Kirchkamp, Oliver & Paruolo, Paolo, 2003. "Expectations and perceived causality in fiscal policy: an experimental analysis using real world data," Sonderforschungsbereich 504 Publications 03-03, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    2. Giuseppe Cavaliere & Luca Fanelli & Paolo Paruolo, 2009. "Tests for cointegration rank and choice of the alternative," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(2), pages 169-191, July.
    3. Bertocco Giancarlo & Fanelli Luca & Paruolo Paolo, 2002. "On the determinants of inflation in Italy: evidence of cost-push effects before the European Monetary Union," Economics and Quantitative Methods qf0223, Department of Economics, University of Insubria.
    4. Cavaliere Giuseppe & Fanelli Luca & Paruolo Paolo, 2001. "Determining the number of cointegrating relations under rank constraints," Economics and Quantitative Methods qf0109, Department of Economics, University of Insubria.
    5. Roger Hammersland, 2004. "Large T and small N : A three-step approach to the identification of cointegrating relationships in time series models with a small cross-sectional dimension," Working Paper 2004/15, Norges Bank.
    6. Omtzigt Pieter, 2002. "Automatic identification and restriction of the cointegration space," Economics and Quantitative Methods qf0213, Department of Economics, University of Insubria.
    7. Bernasconi, Michele & Kirchkamp, Oliver & Paruolo, Paolo, 2009. "Do fiscal variables affect fiscal expectations? Experiments with real world and lab data," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 253-265, May.

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