IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-03c30001.html
   My bibliography  Save this article

Further evidence on the size and power of the Bierens and Johansen cointegration procedures

Author

Listed:
  • David O. Cushman

    (University of Saskatchewan)

Abstract

Although both the Johansen (1991, 1994) trace test and Bierens (1997a,b) nonparametric lambda-min test for cointegration have good size properties in Monte Carlo studies by Hubrich, Lutkepohl, and Saikkonen (2001) and Boswijk, Lucas, and Taylor (2000), the Bierens test has very low power. In contrast, Bierens reports good power for his procedure. Meanwhile, Hubrich et al. and Boswijk et al. do not include Bierens' companion method for estimating the number of cointegrating vectors, nor do they investigate the effect of serial correlation on Bierens'' test. In the present paper, inclusion of the estimation step does not significantly degrade size of the Bierens procedure, even with serial correlation, but power is not improved. Serial correlation does degrade the size of the Johansen test, but it remains superior. Analysis of Bierens'' (1997b) Monte Carlo results suggests that their indication of high power reflects the test''s lack of scale invariance.

Suggested Citation

  • David O. Cushman, 2003. "Further evidence on the size and power of the Bierens and Johansen cointegration procedures," Economics Bulletin, AccessEcon, vol. 3(25), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-03c30001
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2003/Volume3/EB-03C30001A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Cushman, David O. & Sang Sub Lee & Thorgeirsson, Thorsteinn, 1996. "Maximum likelihood estimation of cointegration in exchange rate models for seven inflationary OECD countries," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 337-368, June.
    3. Kirstin Hubrich & Helmut Lutkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor & Francis Journals, vol. 20(3), pages 247-318.
    4. Toda, Hiro Y, 1994. "Finite Sample Properties of Likelihood Ratio Tests for Cointegrating Ranks when Linear Trends are Present," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 66-79, February.
    5. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    6. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    7. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, vol. 77(2), pages 379-404, April.
    8. Boswijk, H. Peter & Lucas, André & Taylor, Nick, 1998. "A comparison of parametric, semi-nonparametric, adaptive and nonparametric tests," Serie Research Memoranda 0062, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    9. H. Peter Boswijk & Andre Lucas & Nick Taylor, 1999. "A Comparison of Parametric, Semi-nonparametric, Adaptive, and Nonparametric Cointegration Tests," Tinbergen Institute Discussion Papers 99-012/4, Tinbergen Institute.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lim, Shiok Ye & Ho, Chong Mun, 2013. "Nonlinearity in ASEAN-5 export-led growth model: Empirical evidence from nonparametric approach," Economic Modelling, Elsevier, vol. 32(C), pages 136-145.
    2. Rachel Rose & Dimitrios Paparas, 2023. "Price Transmission: The Case of the UK Dairy Market," Commodities, MDPI, vol. 2(1), pages 1-21, March.

    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. repec:ebl:ecbull:v:3:y:2003:i:25:p:1-7 is not listed on IDEAS
    2. Kirstin Hubrich & Helmut Lutkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor & Francis Journals, vol. 20(3), pages 247-318.
    3. Carsten Trenkler*, 2005. "The Effects of Ignoring Level Shifts on Systems Cointegration Tests," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 89(3), pages 281-301, August.
    4. Hallin, M. & van den Akker, R. & Werker, B.J.M., 2012. "Rank-based Tests of the Cointegrating Rank in Semiparametric Error Correction Models," Other publications TiSEM bc68a2f2-3ca3-443c-b3ac-f, Tilburg University, School of Economics and Management.
    5. Hallin, M. & Werker, B.J.M. & van den Akker, R., 2015. "Optimal Pseudo-Gaussian and Rank-based Tests of the Cointegration Rank in Semiparametric Error-correction Models," Discussion Paper 2015-001, Tilburg University, Center for Economic Research.
    6. Krauss, Christopher & Herrmann, Klaus & Teis, Stefan, 2015. "On the power and size properties of cointegration tests in the light of high-frequency stylized facts," FAU Discussion Papers in Economics 11/2015, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    7. Hallin, Marc & van den Akker, Ramon & Werker, Bas J.M., 2016. "Semiparametric error-correction models for cointegration with trends: Pseudo-Gaussian and optimal rank-based tests of the cointegration rank," Journal of Econometrics, Elsevier, vol. 190(1), pages 46-61.
    8. Christopher Krauss & Klaus Herrmann, 2017. "On the Power and Size Properties of Cointegration Tests in the Light of High-Frequency Stylized Facts," JRFM, MDPI, vol. 10(1), pages 1-24, February.
    9. Kascha, Christian & Trenkler, Carsten, 2011. "Bootstrapping the likelihood ratio cointegration test in error correction models with unknown lag order," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1008-1017, February.
    10. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, vol. 77(2), pages 379-404, April.
    11. Baharumshah, Ahmad Zubaidi & Masih, A. Mansur M., 2005. "Current account, exchange rate dynamics and the predictability: the experience of Malaysia and Singapore," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(3), pages 255-270, July.
    12. Qihui Chen & Zheng Fang, 2018. "Improved Inference on the Rank of a Matrix," Papers 1812.02337, arXiv.org, revised Mar 2019.
    13. Kim Hiang Liow, 2008. "Financial Crisis and Asian Real Estate Securities Market Interdependence: Some Additional Evidence," Journal of Property Research, Taylor & Francis Journals, vol. 25(2), pages 127-155, November.
    14. John L. Glascock & Wikrom Prombutr & Ying Zhang & Tingyu Zhou, 2018. "Can Investors Hold More Real Estate? Evidence from Statistical Properties of Listed REIT versus Non-REIT Property Companies in the U.S," The Journal of Real Estate Finance and Economics, Springer, vol. 56(2), pages 274-302, February.
    15. Kang, Heejoon, 2008. "The cointegration relationships among G-7 foreign exchange rates," International Review of Financial Analysis, Elsevier, vol. 17(3), pages 446-460, June.
    16. Jaramillo-Villanueva, Jose Luis & Sarker, Rakhal, 2009. "Exchange Rate Sensitivity of Fresh Tomatoes Imports from Mexico to the United States," 2009 Conference, August 16-22, 2009, Beijing, China 51459, International Association of Agricultural Economists.
    17. Lütkepohl, Helmut, 1999. "Vector autoregressive analysis," SFB 373 Discussion Papers 1999,31, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    18. Ajit Zacharias, 2001. "Testing Profit Rate Equalization in the U.S. Manufacturing," Macroeconomics 0012013, University Library of Munich, Germany.
    19. Gaolu Zou & Kwong Wing Chau, 2020. "Effects of International Crude Oil Prices on Energy Consumption in China," Energies, MDPI, vol. 13(15), pages 1-17, July.
    20. 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.
    21. Breitung, Jorg, 2002. "Nonparametric tests for unit roots and cointegration," Journal of Econometrics, Elsevier, vol. 108(2), pages 343-363, June.

    More about this item

    Keywords

    Monte Carlo;

    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:ebl:ecbull:eb-03c30001. 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: John P. Conley (email available below). General contact details of provider: .

    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.