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The power of lambda max

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  • Paruolo Paolo

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

Abstract

This paper condiders likelihood ratio (LR) cointegration rank tests in vector autoregressive models (VAR); the local power of the most widely used LR 'trace' test is compared with the LR 'lambda max' test. It is found that neither test uniformily dominates the other one. Moreover it is shown that the asymptotic properties of the estimator of the cointegration rank based on the trace test are shared by a similar estimator based on the lambda max test. These results indicate that the both tests are admissible.

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Bibliographic Info

Paper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf0004.

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Handle: RePEc:ins:quaeco:qf0004

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Keywords: Cointegration; Likelihood Ratio; Unit roots; Local Power;

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Cited by:
  1. 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.
  2. Giuseppe Cavaliere & Luca Fanelli & Paolo Paruolo, 2009. "Tests for cointegration rank and choice of the alternative," Statistical Methods and Applications, Springer, vol. 18(2), pages 169-191, July.
  3. Paruolo, Paolo, 2006. "Common trends and cycles in I(2) VAR systems," Journal of Econometrics, Elsevier, vol. 132(1), pages 143-168, May.
  4. Majocchi Antonio & Pavione Enrica, 2002. "International franchising in Italy: trends and perspectives," Economics and Quantitative Methods qf0215, Department of Economics, University of Insubria.
  5. Carsten Trenkler, 2006. "Bootstrapping Systems Cointegration Tests with a Prior Adjustment for Deterministic Terms," SFB 649 Discussion Papers SFB649DP2006-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  6. Guiseppe Cavaliere & Anders Rahbek & A.M.Robert Taylor, 2010. "Bootstrap Sequential Determination of the Co-integration Rank in VAR Models," CREATES Research Papers 2010-07, School of Economics and Management, University of Aarhus.
  7. Paolo Paruolo, 2006. "The Likelihood Ratio Test for the Rank of a Cointegration Submatrix," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 921-948, December.
  8. Nielsen, Heino Bohn, 2007. "A "maximum-eigenvalue" test for the cointegration ranks in I(2) vector autoregressions," Economics Letters, Elsevier, vol. 94(3), pages 445-451, March.

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