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The KPSS test with two structural breaks

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  • Josep Carrion-i-Silvestre

    ()

  • Andreu Sansó

Abstract

In this paper we generalize the KPSS-type test to allow for two structural breaks. Seven models have been de?ned depending on the way that the structural breaks a¤ect the time series behaviour. The paper derives the limit distribution of the test both under the null and the alternative hypotheses and conducts a set of simulation experiments to analyse the performance in finite samples.

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File URL: http://hdl.handle.net/10.1007/s10108-006-9017-8
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Bibliographic Info

Article provided by Springer in its journal Spanish Economic Review.

Volume (Year): 9 (2007)
Issue (Month): 2 (June)
Pages: 105-127

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Handle: RePEc:spr:specre:v:9:y:2007:i:2:p:105-127

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Related research

Keywords: Stationary tests; Structural breaks; Unit root; GDP; C12; C22;

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References

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  1. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Keblowski, Piotr & Welfe, Aleksander, 2004. "The ADF-KPSS test of the joint confirmation hypothesis of unit autoregressive root," Economics Letters, Elsevier, vol. 85(2), pages 257-263, November.
  3. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-87, August.
  4. Busetti, Fabio & Harvey, Andrew, 2008. "Testing For Trend," Econometric Theory, Cambridge University Press, vol. 24(01), pages 72-87, February.
  5. Choi, In & Ahn, Byung Chul, 1995. "Testing for Cointegration in a System of Equations," Econometric Theory, Cambridge University Press, vol. 11(05), pages 952-983, October.
  6. Tanaka, Katsuto, 1990. "Testing for a Moving Average Unit Root," Econometric Theory, Cambridge University Press, vol. 6(04), pages 433-444, December.
  7. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-87, July.
  8. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-62, April.
  9. Josep Carrion-i-Silvestre & Andreu Sansó, 2006. "A guide to the computation of stationarity tests," Empirical Economics, Springer, vol. 31(2), pages 433-448, June.
  10. Ben-David, Dan & Papell, David, 1995. "Slowdowns and Meltdowns: Post-war Growth Evidence from 74 Countries," CEPR Discussion Papers 1111, C.E.P.R. Discussion Papers.
  11. Gadea, Maria-Dolores & Montanes, Antonio & Reyes, Marcelo, 2004. "The European Union currencies and the US dollar: from post-Bretton-Woods to the Euro," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1109-1136.
  12. repec:cup:etheor:v:11:y:1995:i:5:p:952-83 is not listed on IDEAS
  13. Robert A. Amano & Simon van Norden, 1995. "Unit Root Tests and the Burden of Proof," Econometrics 9502005, EconWPA.
  14. Junsoo Lee & Mark Strazicich, 2001. "Testing the null of stationarity in the presence of a structural break," Applied Economics Letters, Taylor & Francis Journals, vol. 8(6), pages 377-382.
  15. Monta s, Antonio & Reyes, Marcelo, 1998. "Effect Of A Shift In The Trend Function On Dickey Fuller Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 14(03), pages 355-363, June.
  16. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
  17. Pierre Perron, 2005. "Dealing with Structural Breaks," Boston University - Department of Economics - Working Papers Series WP2005-017, Boston University - Department of Economics.
  18. Clemente, Jesus & Montanes, Antonio & Reyes, Marcelo, 1998. "Testing for a unit root in variables with a double change in the mean," Economics Letters, Elsevier, vol. 59(2), pages 175-182, May.
  19. repec:cup:etheor:v:6:y:1990:i:4:p:433-44 is not listed on IDEAS
  20. Leybourne, S J & McCabe, B P M, 1994. "A Consistent Test for a Unit Root," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 157-66, April.
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Cited by:
  1. Anton Skrobotov, 2012. "Bias Correction of KPSS Test with Structural Break for Reducing of Size Distortion," Working Papers 0043, Gaidar Institute for Economic Policy, revised 2013.
  2. Umut Halaç & Fatma Dilvin Taşkın & Efe Çağlar Çağlı, 2013. "The Turkish Stock Market Integration with Oil Prices: Cointegration Analysis with Unknown Regime Shifts," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 60(4), pages 499-513, June.
  3. Lyócsa, Štefan & Výrost, Tomáš & Baumöhl, Eduard, 2011. "Unit-root and stationarity testing with empirical application on industrial production of CEE-4 countries," MPRA Paper 29648, University Library of Munich, Germany.
  4. M. Clerc & V. Marcus, 2009. "Price elasticity of household fuel comsumption," Documents de Travail de la DESE - Working Papers of the DESE g2009-08, Institut National de la Statistique et des Etudes Economiques, DESE.

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