IDEAS home Printed from https://ideas.repec.org/p/qed/wpaper/861.html
   My bibliography  Save this paper

Approximate Asymptotic Distribution Functions for Unit Roots and Cointegration Tests

Author

Listed:
  • James G. MacKinnon

Abstract

This paper uses Monte Carlo experiments and regression methods to calculate approximate asymptotic distribution functions for a number of well-known unit root and cointegration test statistics. These allow empirical workers to calculate approximate P values for these tests. The results of the paper are based on a very extensive set of Monte Carlo experiments, which yield finite-sample critical values for a number of sample sizes. Response surface regressions are then used to obtain asymptotic critical values for a large number of different test sizes. Finally, regression methods are used to estimate approximate distribution functions with simple functional forms.

Suggested Citation

  • James G. MacKinnon, 1992. "Approximate Asymptotic Distribution Functions for Unit Roots and Cointegration Tests," Working Paper 861, Economics Department, Queen's University.
  • Handle: RePEc:qed:wpaper:861
    as

    Download full text from publisher

    File URL: http://qed.econ.queensu.ca/working_papers/papers/qed_wp_861.pdf
    File Function: First version 1992
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gregory, Allan W, 1994. "Testing for Cointegration in Linear Quadratic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 347-360, July.
    2. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393.
    3. Engle, Robert F. & Yoo, Byung Sam, 1987. "Forecasting and testing in co-integrated systems," Journal of Econometrics, Elsevier, vol. 35(1), pages 143-159, May.
    4. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    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. Sampagnaro, Gabriele & Battaglia, Francesca, 2010. "Reliability and Heterogeneity of Real Estate Indexes and their Impact on the Predictability of Returns," MPRA Paper 23378, University Library of Munich, Germany.
    2. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    3. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115.
    4. Norah Al-Ballaa, 2005. "Test for cointegration based on two-stage least squares," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 707-713.
    5. Calza Alessandro & Zaghini Andrea, 2011. "Welfare Costs of Inflation and the Circulation of U.S. Currency Abroad," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 1-21, May.
    6. 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.
    7. Richards, Anthony J., 1995. "Comovements in national stock market returns: Evidence of predictability, but not cointegration," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 631-654, December.
    8. Oscar Bajo-Rubio & María Montero-Muñoz, 2001. "Foreign Direct Investment and Trade: A Causality Analysis," Open Economies Review, Springer, vol. 12(3), pages 305-323, July.
    9. Christopher P. P. Shafuda & Utpal Kumar De, 2020. "Government expenditure on human capital and growth in Namibia: a time series analysis," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 9(1), pages 1-14, December.
    10. Singerman, Ariel & Lence, Sergio H. & Kimble-Evans, Amanda, 2010. "Organic Crop Prices, or 2x Conventional Ones?," Staff General Research Papers Archive 31544, Iowa State University, Department of Economics.
    11. Bokana K.G & Kabongo W.N.S, 2018. "Modelling Real Private Consumption Expenditure in South Africa to Test the Absolute Income Hypothesis," Journal of Economics and Behavioral Studies, AMH International, vol. 10(5), pages 138-155.
    12. Kesavan, T. & Aradhyula, Satheesh V. & Johnson, Stanley R., 1992. "Dynamics And Price Volatility In Farm-Retail Livestock Price Relationships," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(2), pages 1-14, December.
    13. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, vol. 77(2), pages 379-404, April.
    14. Robert Amano & Tony S. Wirjanto, "undated". "A Further Analysis of Exchange Rate Targeting in Canada," Staff Working Papers 94-2, Bank of Canada.
    15. Smeekes, Stephan & Wijler, Etienne, 2021. "An automated approach towards sparse single-equation cointegration modelling," Journal of Econometrics, Elsevier, vol. 221(1), pages 247-276.
    16. Varela, Oscar, 1999. "Futures and realized cash or settle prices for gold, silver, and copper," Review of Financial Economics, Elsevier, vol. 8(2), pages 121-138.
    17. Koji Nakamura & Yumi Saita, 2007. "Land Prices and Fundamentals," Bank of Japan Working Paper Series 07-E-8, Bank of Japan.
    18. Jérôme Henry, 1993. "La localisation des investissements français dans trois zones de l'OCDE. Une analyse économétrique des balances des paiements depuis 1979," Revue Économique, Programme National Persée, vol. 44(4), pages 737-754.
    19. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    20. Cristina Bencivenga & Giulia Sargenti, 2010. "Crucial relationship among energy commodity prices," Working Papers 5, Doctoral School of Economics, Sapienza University of Rome, revised 2010.

    More about this item

    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:qed:wpaper:861. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mark Babcock). General contact details of provider: https://edirc.repec.org/data/qedquca.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.