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The power of lambda max


  • Paruolo Paolo

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


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.

Suggested Citation

  • Paruolo Paolo, "undated". "The power of lambda max," Economics and Quantitative Methods qf0004, Department of Economics, University of Insubria.
  • Handle: RePEc:ins:quaeco:qf0004

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    References listed on IDEAS

    1. Blinder, Alan S & Stiglitz, Joseph E, 1983. "Money, Credit Constraints, and Economic Activity," American Economic Review, American Economic Association, vol. 73(2), pages 297-302, May.
    2. Paul Davidson, 1991. "Is Probability Theory Relevant for Uncertainty? A Post Keynesian Perspective," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 129-143, Winter.
    3. David de Meza & David C. Webb, 1987. "Too Much Investment: A Problem of Asymmetric Information," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 281-292.
    4. Bruce C. Greenwald & Joseph E. Stiglitz, 1990. "Macroeconomic Models with Equity and Credit Rationing," NBER Chapters,in: Asymmetric Information, Corporate Finance, and Investment, pages 15-42 National Bureau of Economic Research, Inc.
    5. Hellmann, Thomas & Stiglitz, Joseph, 2000. "Credit and equity rationing in markets with adverse selection," European Economic Review, Elsevier, vol. 44(2), pages 281-304, February.
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    Cited by:

    1. Trenkler, Carsten, 2009. "Bootstrapping Systems Cointegration Tests With A Prior Adjustment For Deterministic Terms," Econometric Theory, Cambridge University Press, vol. 25(01), pages 243-269, February.
    2. Paruolo, Paolo, 2006. "Common trends and cycles in I(2) VAR systems," Journal of Econometrics, Elsevier, vol. 132(1), pages 143-168, May.
    3. 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.
    4. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2010. "Bootstrap Sequential Determination of the Co-integration Rank in VAR Models," Discussion Papers 10-07, University of Copenhagen. Department of Economics.
    5. 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.
    6. 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.
    7. El Benni, Nadja & Finger, Robert & Hediger, Werner, 2014. "Transmission of beef and veal prices in different marketing channels," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182696, European Association of Agricultural Economists.
    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.
    9. Swensen, Anders Rygh, 2011. "A bootstrap algorithm for testing cointegration rank in VAR models in the presence of stationary variables," Journal of Econometrics, Elsevier, vol. 165(2), pages 152-162.
    10. Majocchi Antonio & Pavione Enrica, 2002. "International franchising in Italy: trends and perspectives," Economics and Quantitative Methods qf0215, Department of Economics, University of Insubria.

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    Cointegration; Likelihood Ratio; Unit roots; Local Power;

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