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Testing for Unit Roots in Models with Structural Change

Author

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  • Park, Joon Y.
  • Sung, Jaewhan

Abstract

This paper considers the unit root tests in models with structural change. Particular attention is given to their dependency on the limiting ratios of the subsample sizes between breaks. The dependency is analyzed in detail, and the invariant testing procedure based on a transformed model is developed. The required transformation is essentially identical to the generalized least-squares correction for heteroskedasticity. The limiting distributions of the new tests do not depend on the relative sizes of the subsamples and are shown to be simple mixtures of the limiting distributions of the corresponding tests from the independent unit root models without structural change.

Suggested Citation

  • Park, Joon Y. & Sung, Jaewhan, 1994. "Testing for Unit Roots in Models with Structural Change," Econometric Theory, Cambridge University Press, vol. 10(05), pages 917-936, December.
  • Handle: RePEc:cup:etheor:v:10:y:1994:i:05:p:917-936_00
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    Cited by:

    1. Phillips, Peter C B & Xiao, Zhijie, 1998. " A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-469, December.
    2. Junsoo Lee & John List, 2004. "Examining Trends of Criteria Air Pollutants: Are the Effects of Governmental Intervention Transitory?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 29(1), pages 21-37, September.
    3. Edison, Hali J. & Fisher, Eric O'N, 1991. "A long-run view of the European monetary system," Journal of International Money and Finance, Elsevier, vol. 10(1), pages 53-70, March.
    4. repec:ebl:ecbull:v:3:y:2008:i:2:p:1-11 is not listed on IDEAS
    5. Snaith, Stuart, 2012. "The PPP debate: Multiple breaks and cross-sectional dependence," Economics Letters, Elsevier, vol. 115(3), pages 342-344.
    6. Bowman, Chakriya, 2005. "Yen bloc or koala bloc? Currency relationships after the East Asian crisis," Japan and the World Economy, Elsevier, vol. 17(1), pages 83-96, January.
    7. Aggarwal, Raj & Mougoue, Mbodja, 1996. "Cointegration among Asian currencies: Evidence of the increasing influence of the Japanese yen," Japan and the World Economy, Elsevier, vol. 8(3), pages 291-308, September.
    8. Uwe Hassler & Paulo M. M. Rodrigues, 2004. "Seasonal Unit Root Tests Under Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(1), pages 33-53, January.
    9. H. Youn Kim & Junsoo Lee & Stephen E. Lile & James R. Ramsey, 2000. "Municipal Bonds and Tax Arbitrage: A Cointegration Analysis," Public Finance Review, , vol. 28(4), pages 372-389, July.
    10. Shyh-Wei Chen, 2008. "Are 19 Developed Countries' Real Per Capita GDP levels Non-stationary? A Revisit," Economics Bulletin, AccessEcon, vol. 3(2), pages 1-11.
    11. Jungmittag Andre & Grupp Hariolf, 2006. "Wechselwirkungen zwischen Innovations- und Wachstumsprozessen in Deutschland 1951-1999 im Vergleich zu 1850-1913 / Dynamic Relationships Between Innovation Activities and Per Capita Income in Germany ," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 226(2), pages 180-207, April.
    12. Stern, David I. & Enflo, Kerstin, 2013. "Causality between energy and output in the long-run," Energy Economics, Elsevier, vol. 39(C), pages 135-146.
    13. Matos, Paulo Rogério Faustino & Bueno, Amadeus & Trompieri, Nicolino, 2014. "Análise de Integração Financeira na América do Sul," Revista Brasileira de Economia - RBE, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 68(2), June.
    14. Jürgen Wolters & Uwe Hassler, 2006. "Unit root testing," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 43-58, March.
    15. David I. Stern, 2005. "The Effect of NAFTA on Energy and Environmental Efficiency in Mexico," Rensselaer Working Papers in Economics 0511, Rensselaer Polytechnic Institute, Department of Economics.
    16. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
    17. repec:fgv:epgrbe:v:68:n:2:a:6 is not listed on IDEAS
    18. Nyong, M. O. & Udah, E. B., 2012. "Industrial Time Series of Nigeria, 1970-2009: Evolution and Unit Root Testing in the Presence of Multiple Endogenous Structural Breaks," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 12(1).

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