IDEAS home Printed from https://ideas.repec.org/p/cdl/ucsdec/qt47k7z69n.html
   My bibliography  Save this paper

Testing for Unit Roots with Stationary Covariances

Author

Listed:
  • Elliott, Graham
  • Jansson, Michael

Abstract

We derive the family of tests for a unit root with maximal power against a point alternative when an arbitrary number of stationary covariates are modeled with the potentially integrated series. We show that very large power gains are available when such covariates are available. We then derive tests which are simple to construct (involving the running of vector autoregressions) and achieve at a point the power envelopes derived under very general conditions. These tests have excellent properties in small samples. We also show that these are obvious and internally consistent tests to run when identifying structural VAR's using long run restrictions.

Suggested Citation

  • Elliott, Graham & Jansson, Michael, 2000. "Testing for Unit Roots with Stationary Covariances," University of California at San Diego, Economics Working Paper Series qt47k7z69n, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt47k7z69n
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/47k7z69n.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jordi Gali, 1999. "Technology, Employment, and the Business Cycle: Do Technology Shocks Explain Aggregate Fluctuations?," American Economic Review, American Economic Association, vol. 89(1), pages 249-271, March.
    2. repec:bla:obuest:v:61:y:1999:i:4:p:583-95 is not listed on IDEAS
    3. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    4. Guglielmo Maria Caporale & Nikitas Pittis, 1999. "Unit Root Testing Using Covariates: Some Theory and Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 583-595, November.
    5. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    6. Elliott, Graham, 1999. "Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 767-783, August.
    7. Graham Elliott & Michael Jansson & Elena Pesavento, 2005. "Optimal Power for Testing Potential Cointegrating Vectors With Known Parameters for Nonstationarity," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 34-48, January.
    8. Elliott, Graham & Jansson, Michael & Pesavento, Elena, 2004. "Optimal Power for Testing Potential Cointegrating Vectors with Known," University of California at San Diego, Economics Working Paper Series qt2bv7n071, Department of Economics, UC San Diego.
    9. Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(5), pages 984-1014, October.
    10. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    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. Francis Ahking, 2003. "Efficient unit root tests of real exchange rates in the post-Bretton Woods era," Economics Bulletin, AccessEcon, vol. 6(7), pages 1-12.
    2. M.S.Rafiq, 2006. "Business Cycle Moderation - Good Policies or Good Luck: Evidence and Explanations for the Euro Area," Discussion Paper Series 2006_21, Department of Economics, Loughborough University.
    3. Eleni Constantinou & Avo Kazandjian & Georgios P. Kouretas & Vera Tahmazian, 2008. "Common Stochastic Trends Among The Cyprus Stock Exchange And The Ase, Lse And Nyse," Bulletin of Economic Research, Wiley Blackwell, vol. 60(4), pages 327-349, October.
    4. Diamandis, Panayiotis F., 2009. "International stock market linkages: Evidence from Latin America," Global Finance Journal, Elsevier, vol. 20(1), pages 13-30.
    5. Carlson, John B. & Hoffman, Dennis L. & Keen, Benjamin D. & Rasche, Robert H., 2000. "Results of a study of the stability of cointegrating relations comprised of broad monetary aggregates," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 345-383, October.
    6. Guglielmo Maria Caporale & Davide Ciferri & Alessandro Girardi, 2014. "Time-Varying Spot and Futures Oil Price Dynamics," Scottish Journal of Political Economy, Scottish Economic Society, vol. 61(1), pages 78-97, February.
    7. Shahbaz, Muhammad & Farhani, Sahbi & Ozturk, Ilhan, 2013. "Coal Consumption, Industrial Production and CO2 Emissions in China and India," MPRA Paper 50618, University Library of Munich, Germany, revised 12 Oct 2013.
    8. Rapach, David E. & Wohar, Mark E., 2002. "Testing the monetary model of exchange rate determination: new evidence from a century of data," Journal of International Economics, Elsevier, vol. 58(2), pages 359-385, December.
    9. Boswijk, H. Peter & Jansson, Michael & Nielsen, Morten Ørregaard, 2015. "Improved likelihood ratio tests for cointegration rank in the VAR model," Journal of Econometrics, Elsevier, vol. 184(1), pages 97-110.
    10. Mohammad J Alam & Raghbendra Jha, 2016. "Asymmetric threshold vertical price transmission in wheat and flour markets in Dhaka (Bangladesh): seemingly unrelated regression analysis," ASARC Working Papers 2016-03, The Australian National University, Australia South Asia Research Centre.
    11. Tarlok Singh, 2017. "Are Current Account Deficits in the OECD Countries Sustainable? Robust Evidence from Time-Series Estimators," The International Trade Journal, Taylor & Francis Journals, vol. 31(1), pages 29-64, January.
    12. Inagaki, Kazuyuki, 2009. "Estimating the interest rate semi-elasticity of the demand for money in low interest rate environments," Economic Modelling, Elsevier, vol. 26(1), pages 147-154, January.
    13. Martin Lettau & Sydney C. Ludvigson, 2004. "Understanding Trend and Cycle in Asset Values: Reevaluating the Wealth Effect on Consumption," American Economic Review, American Economic Association, vol. 94(1), pages 276-299, March.
    14. Luca Benati & Thomas A. Lubik, 2021. "Searching for Hysteresis," Working Paper 21-03, Federal Reserve Bank of Richmond.
    15. Sonora, Robert J., 2008. "Bivariate relative city price convergence in the United States: 1918-1997," Review of Financial Economics, Elsevier, vol. 17(2), pages 92-111.
    16. Tarlok Singh, 2023. "Do terms of trade affect economic growth? Robust evidence from India," Economics of Transition and Institutional Change, John Wiley & Sons, vol. 31(2), pages 491-521, April.
    17. Eleni Constantinou & Avo Kazandjian & George Kouretas & Vera Tahmazian, 2005. "Cointegration, causality and domestic portfolio diversification in the Cyprus Stock Exchange," Working Papers 0522, University of Crete, Department of Economics.
    18. William Crowder & Mark Wohar, 2004. "A cointegrated structural VAR model of the Canadian economy," Applied Economics, Taylor & Francis Journals, vol. 36(3), pages 195-213.
    19. Pierre-Daniel G. Sarte, 1999. "An empirical investigation of fluctuations in manufacturing sales and inventory within a sticky-price framework," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 61-84.
    20. Luis A. Gil-Alana & Marinko Skare, 2018. "Testing the great decoupling: a long memory approach," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(4), pages 801-820, November.

    More about this item

    Keywords

    unit roots; stationary covariates; integrated series;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

    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:cdl:ucsdec:qt47k7z69n. 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: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/deucsus.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.