IDEAS home Printed from https://ideas.repec.org/a/emx/esteco/v10y1995i1p29-65.html

Asymptotic theory of statistics form unit root test regressions when the alternative is a breaking-trend-stationary model

Author

Listed:
  • Noriega-Muro, Antonio

    (Universidad de Guanajuato)

Abstract

We derive test regressions whose structure provides a link between tests for a unit root and tests on the nullity of the parameters associated with the regression's trend function. These test regressions turn out to be equivalent to those proposed by Perron (1989). Using these regression equations, we extend Perron's (1989) asymptotic results by deriving limiting distributions of the deterministic components for all the models considered. The asymptotic representations of these distributions show that there is no conflict between testing for unit roots and for structural breaks: acceptance of a unit root rules out acceptance of a structural break, as modelled by a dummy variable.

Suggested Citation

  • Noriega-Muro, Antonio, 1995. "Asymptotic theory of statistics form unit root test regressions when the alternative is a breaking-trend-stationary model," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 10(1), pages 29-65.
    • Handle: RePEc:emx:esteco:v:10:y:1995:i:1:p:29-65
    as

    Download full text from publisher

    File URL: https://estudioseconomicos.colmex.mx/index.php/economicos/article/view/272/275
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Robert Engle & Clive Granger, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    2. Stock, James H & Watson, Mark W, 1988. "Variable Trends in Economic Time Series," Journal of Economic Perspectives, American Economic Association, vol. 2(3), pages 147-174, Summer.
    3. Peter C.B. Phillips & Peter Schmidt, 1989. "Testing for a Unit Root in the Presence of Deterministic Trends," Cowles Foundation Discussion Papers 933, Cowles Foundation for Research in Economics, Yale University.
    4. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    5. Perron, P, 1993. "Erratum [The Great Crash, the Oil Price Shock and the Unit Root Hypothesis]," Econometrica, Econometric Society, vol. 61(1), pages 248-249, January.
    6. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-228, August.
    7. 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.
    8. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    9. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    10. Alok Bhargava, 1986. "On the Theory of Testing for Unit Roots in Observed Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(3), pages 369-384.
    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. PHILIP E.T. LEWIS & GARRY A. MacDONALD, 1993. "Testing for Equilibrium in the Australian Wage Equation," The Economic Record, The Economic Society of Australia, vol. 69(3), pages 295-304, September.
    2. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    3. Bardsen, Gunnar & Klovland, Jan Tore, "undated". "Finding The Right Nominal Anchor: The Cointegration Of Money, Credit And Nominal Income In Norway," Economic Research Papers 268385, University of Warwick - Department of Economics.
    4. Peter C.B. Phillips, 1991. "Unit Roots," Cowles Foundation Discussion Papers 998, Cowles Foundation for Research in Economics, Yale University.
    5. Brittle, Shane, 2009. "Ricardian Equivalence and the Efficacy of Fiscal Policy in Australia," Economics Working Papers wp09-10, School of Economics, University of Wollongong, NSW, Australia.
    6. Paqué, Karl-Heinz, 1991. "Structural wage rigidity in West Germany 1950-1989: Some new econometric evidence," Kiel Working Papers 489, Kiel Institute for the World Economy.
    7. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    8. Vinish Kathuria, 2019. "Growth and Investment: Testing for the Relationship for South Asian Countries," Millennial Asia, , vol. 10(3), pages 337-371, December.
    9. Gao Lu Zou & Kwong Wing Chau, 2015. "Determinants and Sustainability of House Prices: The Case of Shanghai, China," Sustainability, MDPI, vol. 7(4), pages 1-25, April.
    10. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, January.
    11. Peter C. B. Phillips & Zhijie Xiao, 1998. "A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-470, December.
    12. Sung Bae & Taihyeup David Yi, 2009. "Structural breaks and the Fisher hypothesis in bond and stock markets," Applied Financial Economics, Taylor & Francis Journals, vol. 19(24), pages 1961-1973.
    13. De La Cruz Martinez, Justino, 1999. "Mexico's balance of payments and exchange rates: a cointegration analysis," The North American Journal of Economics and Finance, Elsevier, vol. 10(2), pages 401-421.
    14. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521817707, November.
    15. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    16. Tsangyao Chang & WenRong Liu & Steven Caudill, 2004. "A re-examination of Wagner's law for ten countries based on cointegration and error-correction modelling techniques," Applied Financial Economics, Taylor & Francis Journals, vol. 14(8), pages 577-589.
    17. Gundlach, Erich, 1993. "Die Dienstleistungsnachfrage als Determinante des wirtschaftlichen Strukturwandels," Open Access Publications from Kiel Institute for the World Economy 763, Kiel Institute for the World Economy.
    18. Önder Hanedar & Elmas Yaldýz & Özgül Bilici & Onur Akkaya, 2006. "Long Run Profit Maximization in Turkish Manufacturing Sector," Papers of the Annual IUE-SUNY Cortland Conference in Economics, in: Oguz Esen & Ayla Ogus (ed.), Proceedings of the Conference on Human and Economic Resources, pages 239-248, Izmir University of Economics.
    19. Dennis Hoffman & Robert H. Rasche, 1989. "The Demand For Money in the U.S. During the Great Depression: Estimates and Comparison with the Post War Experience," NBER Working Papers 3217, National Bureau of Economic Research, Inc.
    20. Wilton Bernardino & João B. Amaral & Nelson L. Paes & Raydonal Ospina & José L. Távora, 2022. "A statistical investigation of a stock valuation model," SN Business & Economics, Springer, vol. 2(8), pages 1-25, August.

    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:emx:esteco:v:10:y:1995:i:1:p:29-65. 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: Ximena Varela (email available below). General contact details of provider: https://edirc.repec.org/data/cecolmx.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.