Advanced Search
MyIDEAS: Login

Covariate unit root tests under structural change and asymmetric STAR dynamics

Contents:

Author Info

  • Tsong, Ching-Chuan
  • Wu, Chien-Wei
  • Chiu, Hsien-Hung
  • Lee, Cheng-Feng
Registered author(s):

    Abstract

    In this paper, we intend to develop a new unit root testing procedure. The novelty of this methodology includes (1) accommodating possible trend breaks of unknown number, unknown dates, and unknown form by employing the Fourier form without directly estimating such breaks; (2) considering possible asymmetric STAR adjustments under the alterative; and (3) utilizing related covariates to boost the testing power. The limiting distribution of the test is derived, and the asymptotic critical values are tabulated. Simulation experiments show that the test can deliver robust size for various breaks commonly seen in economic analysis and enjoy high power property, even in small sample sizes encountered in empirical studies. The usefulness of the test is illustrated in an empirical study on the issue of debt sustainability in 18 OECD countries.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://www.sciencedirect.com/science/article/pii/S026499931300120X
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

    Bibliographic Info

    Article provided by Elsevier in its journal Economic Modelling.

    Volume (Year): 33 (2013)
    Issue (Month): C ()
    Pages: 101-112

    as in new window
    Handle: RePEc:eee:ecmode:v:33:y:2013:i:c:p:101-112

    Contact details of provider:
    Web page: http://www.elsevier.com/locate/inca/30411

    Related research

    Keywords: Fourier form; Structural change; Covariate unit roots; Asymmetry; Debt-GDP ratio;

    Find related papers by JEL classification:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1148-1171, October.
    2. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    3. Philip Arestis & Andrea Cipollini & Bassam Fattouh, 2003. "Threshold Effects in the US Budget Deficit," CEIS Research Paper 18, Tor Vergata University, CEIS.
    4. Tanner, Evan & Liu, Peter, 1994. "Is the Budget Deficit "Too Large"?: Some Further Evidence," Economic Inquiry, Western Economic Association International, vol. 32(3), pages 511-18, July.
    5. Arghyrou, Michael G. & Luintel, Kul B., 2007. "Government solvency: Revisiting some EMU countries," Journal of Macroeconomics, Elsevier, vol. 29(2), pages 387-410, June.
    6. Martin, G.M., 1998. "U.S. Deficit Sustainability: A New Approach Based on Multiple Endogenous Breaks," Monash Econometrics and Business Statistics Working Papers 1/98, Monash University, Department of Econometrics and Business Statistics.
    7. Mark Holmes & Jesús Otero & Theodore Panagiotidis, 2010. "Are EU budget deficits stationary?," Empirical Economics, Springer, vol. 38(3), pages 767-778, June.
    8. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
    9. Cunado, J. & Gil-Alana, L. A. & Perez de Gracia, F., 2004. "Is the US fiscal deficit sustainable?: A fractionally integrated approach," Journal of Economics and Business, Elsevier, vol. 56(6), pages 501-526.
    10. Bravo, Ana Bela Santos & Silvestre, Antonio Luis, 2002. "Intertemporal sustainability of fiscal policies: some tests for European countries," European Journal of Political Economy, Elsevier, vol. 18(3), pages 517-528, September.
    11. 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.
    12. Dimitris, Christopoulos & Miguel, Leon-Ledesma, 2009. "Smooth Breaks and Nonlinear Mean Reversion: Post-Bretton Woods Real Exchange Rates," MPRA Paper 22553, University Library of Munich, Germany.
    13. Paulo M. M. Rodrigues & A. M. Robert Taylor, 2012. "The Flexible Fourier Form and Local Generalised Least Squares De-trended Unit Root Tests-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(5), pages 736-759, October.
    14. Wilcox, David W, 1989. "The Sustainability of Government Deficits: Implications of the Present-Value Borrowing Constraint," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 21(3), pages 291-306, August.
    15. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    16. Eric Zivot & Donald W.K. Andrews, 1990. "Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Cowles Foundation Discussion Papers 944, Cowles Foundation for Research in Economics, Yale University.
    17. Oscar Bajo-Rubio & Carmen Díaz-Roldán & Vicente Esteve, 2003. "Is the Budget Deficit Sustainable when Fiscal Policy is nonlinear? The Case of Spain, 1961-2001," Economic Working Papers at Centro de Estudios Andaluces E2003/32, Centro de Estudios Andaluces.
    18. Jansson, Michael, 2004. "Stationarity Testing With Covariates," Econometric Theory, Cambridge University Press, vol. 20(01), pages 56-94, February.
    19. Sarno, Lucio, 2001. "The behavior of US public debt: a nonlinear perspective," Economics Letters, Elsevier, vol. 74(1), pages 119-125, December.
    20. Henning Bohn, 1998. "The Behavior Of U.S. Public Debt And Deficits," The Quarterly Journal of Economics, MIT Press, vol. 113(3), pages 949-963, August.
    21. Giavazzi, Francesco & Jappelli, Tullio & Pagano, Marco, 2000. "Searching for non-linear effects of fiscal policy: Evidence from industrial and developing countries," European Economic Review, Elsevier, vol. 44(7), pages 1259-1289, June.
    22. John Considine & Liam A. Gallagher, 2004. "UK Debt Sustainability: Some Nonlinear Evidence and Theoretical Implications," Money Macro and Finance (MMF) Research Group Conference 2004 59, Money Macro and Finance Research Group.
    23. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2004. "Searching for threshold effects in the evolution of budget deficits: an application to the Spanish case," Economics Letters, Elsevier, vol. 82(2), pages 239-243, February.
    24. Prodan, Ruxandra, 2008. "Potential Pitfalls in Determining Multiple Structural Changes With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 50-65, January.
    25. Haug, Alfred A, 1991. "Cointegration and Government Borrowing Constraints: Evidence for the United States," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(1), pages 97-101, January.
    26. Antonio Afonso, 2004. "Fiscal Sustainability: the Unpleasant European Case," Money Macro and Finance (MMF) Research Group Conference 2004 57, Money Macro and Finance Research Group.
    27. D. A. Peel & A. E. H. Speight, 2000. "Threshold nonlinearities in unemployment rates: further evidence for the UK and G3 economies," Applied Economics, Taylor & Francis Journals, vol. 32(6), pages 705-715.
    28. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March.
    29. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, 05.
    30. Hamilton, James D & Flavin, Marjorie A, 1986. "On the Limitations of Government Borrowing: A Framework for EmpiricalTesting," American Economic Review, American Economic Association, vol. 76(4), pages 808-19, September.
    31. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
    32. Walter Enders & Junsoo Lee, 2012. "A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(4), pages 574-599, 08.
    33. Tsong, Ching-Chuan & Lee, Cheng-Feng, 2011. "Asymmetric inflation dynamics: Evidence from quantile regression analysis," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 668-680.
    34. Gallant, A. Ronald & Souza, Geraldo, 1991. "On the asymptotic normality of Fourier flexible form estimates," Journal of Econometrics, Elsevier, vol. 50(3), pages 329-353, December.
    35. Quintos, Carmela E, 1995. "Sustainability of the Deficit Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 409-17, October.
    36. Jomana Amara & David Papell, 2006. "Testing for Purchasing Power Parity using stationary covariates," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 29-39.
    37. Sollis, Robert, 2009. "A simple unit root test against asymmetric STAR nonlinearity with an application to real exchange rates in Nordic countries," Economic Modelling, Elsevier, vol. 26(1), pages 118-125, January.
    38. Cipollini, Andrea, 2001. "Testing for Government Intertemporal Solvency: A Smooth Transition Error Correction Model Approach," Manchester School, University of Manchester, vol. 69(6), pages 643-55, December.
    39. Cheng-Feng Lee & Ching-Chuan Tsong, 2013. "Bootstrapping Covariate Unit Root Tests: An Application To Inflation Rates," Bulletin of Economic Research, Wiley Blackwell, vol. 65, pages s165-s174, 05.
    Full references (including those not matched with items on IDEAS)

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:eee:ecmode:v:33:y:2013:i:c:p:101-112. 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: (Zhang, Lei).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 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.