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The Power of Lambda Max


  • Paruolo, Paolo


This paper considers 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 "lamda max" test. It is found that neither test uniformly 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 both tests are admissible. Copyright 2001 by Blackwell Publishing Ltd

Suggested Citation

  • Paruolo, Paolo, 2001. " The Power of Lambda Max," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(3), pages 395-403, July.
  • Handle: RePEc:bla:obuest:v:63:y:2001:i:3:p:395-403

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    References listed on IDEAS

    1. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    2. Braun, Phillip A & Nelson, Daniel B & Sunier, Alain M, 1995. " Good News, Bad News, Volatility, and Betas," Journal of Finance, American Finance Association, vol. 50(5), pages 1575-1603, December.
    3. Olan Henry, 1998. "Modelling the asymmetry of stock market volatility," Applied Financial Economics, Taylor & Francis Journals, vol. 8(2), pages 145-153.
    4. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. " On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    5. Chopra, Navin & Lakonishok, Josef & Ritter, Jay R., 1992. "Measuring abnormal performance : Do stocks overreact?," Journal of Financial Economics, Elsevier, vol. 31(2), pages 235-268, April.
    6. Engle, Robert F & Ng, Victor K, 1993. " Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
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    Cited by:

    1. 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.
    2. 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.
    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Majocchi Antonio & Pavione Enrica, 2002. "International franchising in Italy: trends and perspectives," Economics and Quantitative Methods qf0215, Department of Economics, University of Insubria.
    10. 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.

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