IDEAS home Printed from https://ideas.repec.org/p/uto/dipeco/202007.html
   My bibliography  Save this paper

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

Author

Listed:

Abstract

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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: https://www.est.unito.it/do/home.pl/Download?doc=/allegati/wp2020dip/wp_07_2020.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Doornik, Jurgen A. & O'Brien, R. J., 2002. "Numerically stable cointegration analysis," Computational Statistics & Data Analysis, Elsevier, vol. 41(1), pages 185-193, November.
    3. 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.
    4. 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.
    5. Bravo, Francesco, 1999. "A Correction Factor For Unit Root Test Statistics," Econometric Theory, Cambridge University Press, vol. 15(2), pages 218-227, April.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    12. repec:bla:obuest:v:62:y:2000:i:4:p:543-51 is not listed on IDEAS
    13. 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.
    14. 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.
    15. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Canepa Alessandra, 2022. "Small Sample Adjustment for Hypotheses Testing on Cointegrating Vectors," Journal of Time Series Econometrics, De Gruyter, vol. 14(1), pages 51-85, January.
    2. 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.
    3. Eriksson , Åsa, 2004. "Testing Structural Hypotheses on Cointegration Vectors: A Monte Carlo Study," Working Papers 2004:29, Lund University, Department of Economics.
    4. Canepa, Alessandra, 2020. "Bootstrap Bartlett Adjustment for Hypotheses Testing on Cointegrating Vectors," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202006, University of Turin.
    5. Takamitsu Kurita, 2009. "A note on small-sample correction for hypothesis testing on cointegrating vectors: recursive Monte Carlo analysis," Economics Bulletin, AccessEcon, vol. 29(3), pages 1588-1595.
    6. Alessandra Canepa & Raymond O'Brien, 2000. "The Size and Power of Bootstrap Tests for Linear Restrictions in Misspecified Cointegrating Relationships," Econometric Society World Congress 2000 Contributed Papers 1807, Econometric Society.
    7. David H. Bernstein & Bent Nielsen, 2019. "Asymptotic Theory for Cointegration Analysis When the Cointegration Rank Is Deficient," Econometrics, MDPI, vol. 7(1), pages 1-24, January.
    8. Omtzigt Pieter & Fachin Stefano, 2002. "Bootstrapping and Bartlett corrections in the cointegrated VAR model," Economics and Quantitative Methods qf0212, Department of Economics, University of Insubria.
    9. Norman J. Morin, 2006. "Likelihood ratio tests on cointegrating vectors, disequilibrium adjustment vectors, and their orthogonal complements," Finance and Economics Discussion Series 2006-21, Board of Governors of the Federal Reserve System (U.S.).
    10. J. Andrew Hansz & Wikrom Prombutr & Ying Zhang & Tingyu Zhou, 2017. "An Anatomy of the Interrelationship between Equity and Mortgage REITs," International Real Estate Review, Global Social Science Institute, vol. 20(3), pages 287-324.
    11. Tor Jacobson & Johan Lyhagen & Rolf Larsson & Marianne Nessén, 2008. "Inflation, exchange rates and PPP in a multivariate panel cointegration model," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 58-79, March.
    12. Charles Yuji Horioka & Akiko Terada-Hagiwara, 2016. "The Impact of Pre-marital Sex Ratios on Household Saving in Two Asian Countries: The Competitive Saving Motive Revisited," ISER Discussion Paper 0975, Institute of Social and Economic Research, Osaka University.
    13. Mallory Mindy & Lence Sergio H., 2012. "Testing for Cointegration in the Presence of Moving Average Errors," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-68, November.
    14. Nafeesa Yunus & J. Hansz & Paul Kennedy, 2012. "Dynamic Interactions Between Private and Public Real Estate Markets: Some International Evidence," The Journal of Real Estate Finance and Economics, Springer, vol. 45(4), pages 1021-1040, November.
    15. Papaikonomou, Dimitrios & Pires, Jacinta, 2006. "Are US output expectations unbiased? A cointegrated VAR analysis in real time," Economics Letters, Elsevier, vol. 92(3), pages 440-446, September.
    16. Sato, Kiyotaka & Zhang, Zhaoyong & Allen, David, 2009. "The suitability of a monetary union in East Asia: What does the cointegration approach tell?," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(9), pages 2927-2937.
    17. Richard Fu & Marco Pagani, 2012. "On the cointegration of international stock indices," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 36(2), pages 463-480, April.
    18. Aka, F.B. & Decaluwé, B., 1999. "Causality and Comovement between Tax Rate and Budget Deficits: Further Evidence from Developing Countries," Cahiers de recherche 9911, Université Laval - Département d'économique.
    19. Guillaume Chevillon, 2017. "Robust cointegration testing in the presence of weak trends, with an application to the human origin of global warming," Econometric Reviews, Taylor & Francis Journals, vol. 36(5), pages 514-545, May.
    20. H. Holly Wang & Bingfan Ke, 2005. "Efficiency tests of agricultural commodity futures markets in China," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 49(2), pages 125-141, June.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:uto:dipeco:202007. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Piero Cavaleri or Marina Grazioli (email available below). General contact details of provider: https://edirc.repec.org/data/detorit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.