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Improvement on the LR Test Statistic on the Cointegrating Relations in VAR Models: Bootstrap Methods and Applications

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A Bartlett corrected likelihood ratio test for linear restrictions on the cointegrating relations is examined in Johansen (2000). Simulation results show that the performance of the corrected LR test statistic is highly dependent on the values of the parameters of the model. In order to reduce this dependency, it is proposed that the ?nite sample expectation of the LR test be estimated using the bootstrap. It is found that the bootstrap Bartlett correction often succeeds in this task.

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  • Canepa, Alessandra, 2020. "Improvement on the LR Test Statistic on the Cointegrating Relations in VAR Models: Bootstrap Methods and Applications," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202007, University of Turin.
    • Handle: RePEc:uto:dipeco:202007
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    1. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    2. Johansen, Søren, 2000. "A Bartlett Correction Factor For Tests On The Cointegrating Relations," Econometric Theory, Cambridge University Press, vol. 16(5), pages 740-778, October.
    3. Johansen, Soren, 2002. "A small sample correction for tests of hypotheses on the cointegrating vectors," Journal of Econometrics, Elsevier, vol. 111(2), pages 195-221, December.
    4. Doornik, Jurgen A. & O'Brien, R. J., 2002. "Numerically stable cointegration analysis," Computational Statistics & Data Analysis, Elsevier, vol. 41(1), pages 185-193, November.
    5. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    6. Psaradakis, Zacharias, 1994. "A comparison of tests of linear hypotheses in cointegrated vector autoregressive models," Economics Letters, Elsevier, vol. 45(2), pages 137-144, June.
    7. Canepa, Alessandra, 2006. "Small sample corrections for linear restrictions on cointegrating vectors: A Monte Carlo comparison," Economics Letters, Elsevier, vol. 91(3), pages 330-336, June.
    8. Gredenhoff, Mikael & Jacobson, Tor, 2001. "Bootstrap Testing Linear Restrictions on Cointegrating Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(1), pages 63-72, January.
    9. Bravo, Francesco, 1999. "A Correction Factor For Unit Root Test Statistics," Econometric Theory, Cambridge University Press, vol. 15(2), pages 218-227, April.
    10. Fachin, Stefano, 2000. "Bootstrap and Asymptotic Tests of Long-Run Relationships in Cointegrated Systems," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(4), pages 543-551, September.
    11. Podivinsky, Jan M., 1992. "Small sample properties of tests of linear restrictions on cointegrating vectors and their weights," Economics Letters, Elsevier, vol. 39(1), pages 13-18, May.
    12. Stefano Fachin, 2000. "Bootstrap and Asymptotic Tests of Long‐run Relationships in Cointegrated Systems," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(4), pages 543-551, September.
    13. Jensen, J. L. & Wood, Andrew T. A., 1997. "On the non-existence of a Bartlett correction for unit root tests," Statistics & Probability Letters, Elsevier, vol. 35(2), pages 181-187, September.
    14. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(5), pages 1015-1032, October.
    15. Haug, Alfred A., 2002. "Testing Linear Restrictions On Cointegrating Vectors: Sizes And Powers Of Wald And Likelihood Ratio Tests In Finite Samples," Econometric Theory, Cambridge University Press, vol. 18(2), pages 505-524, April.
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