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Testing for a break in persistence under long-range dependencies and mean shifts

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  • Philipp Sibbertsen

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  • Juliane Willert

Abstract

We show that the CUSUM-squared based test for a change in persistence by Leybourne et al. (2007) is not robust against shifts in the mean. A mean shift leads to serious size distortions. Therefore, adjusted critical values are needed when it is known that the data generating process has a mean shift. These are given for the case of one mean break. Response curves for the critical values are derived and a Monte Carlo study showing the size and power properties under this general de-trending is given

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File URL: http://hdl.handle.net/10.1007/s00362-010-0342-5
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Bibliographic Info

Article provided by Springer in its journal Statistical Papers.

Volume (Year): 53 (2012)
Issue (Month): 2 (May)
Pages: 357-370

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Handle: RePEc:spr:stpapr:v:53:y:2012:i:2:p:357-370

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Web page: http://www.springer.com/statistics/business/journal/362

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Related research

Keywords: Break in persistence; Long memory; Structural break; Level shift; C12; C22;

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References

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  1. 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.
  2. Sibbertsen, Philipp & Kruse, Robinson, 2007. "Testing for a break in persistence under long-range dependencies," Hannover Economic Papers (HEP) dp-381, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  3. Kim, Jae-Young, 2000. "Detection of change in persistence of a linear time series," Journal of Econometrics, Elsevier, vol. 95(1), pages 97-116, March.
  4. Philipp Sibbertsen & Juliane Willert, 2012. "Testing for a break in persistence under long-range dependencies and mean shifts," Statistical Papers, Springer, vol. 53(2), pages 357-370, May.
  5. Stephen Leybourne & Robert Taylor & Tae-Hwan Kim, 2007. "CUSUM of Squares-Based Tests for a Change in Persistence," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(3), pages 408-433, 05.
  6. Sibbertsen, Philipp, 2001. "Long-memory versus structural breaks: An overview," Technical Reports 2001,28, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  7. Belaire-Franch, Jorge, 2005. "A Proof Of The Power Of Kim'S Test Against Stationary Processes With Structural Breaks," Econometric Theory, Cambridge University Press, vol. 21(06), pages 1172-1176, December.
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Citations

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Cited by:
  1. Sibbertsen, Philipp & Wegener, Christoph & Basse, Tobias, 2013. "Testing for a Break in the Persistence in Yield Spreads of EMU Government Bonds," Hannover Economic Papers (HEP) dp-517, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  2. Guglielmo Caporale & Luis Gil-Alana, 2013. "Long memory in US real output per capita," Empirical Economics, Springer, vol. 44(2), pages 591-611, April.
  3. Philipp Sibbertsen & Juliane Willert, 2012. "Testing for a break in persistence under long-range dependencies and mean shifts," Statistical Papers, Springer, vol. 53(2), pages 357-370, May.
  4. Katarzyna Lasak & Carlos Velasco, 2014. "Fractional Cointegration Rank Estimation," Tinbergen Institute Discussion Papers 14-021/III, Tinbergen Institute.
  5. Kruse, Robinson & Sibbertsen, Philipp, 2010. "Long memory and changing persistence," Hannover Economic Papers (HEP) dp-455, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  6. M. Frömmel & R. Kruse, 2011. "Testing for a rational bubble under long memory," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 11/722, Ghent University, Faculty of Economics and Business Administration.
  7. Chen, Zhanshou & Jin, Zi & Tian, Zheng & Qi, Peiyan, 2012. "Bootstrap testing multiple changes in persistence for a heavy-tailed sequence," Computational Statistics & Data Analysis, Elsevier, vol. 56(7), pages 2303-2316.

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