Testing for a break in persistence under long-range dependencies and mean shifts
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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- Philipp Sibbertsen & Robinson Kruse, 2009.
"Testing for a break in persistence under long-range dependencies,"
Journal of Time Series Analysis,
Wiley Blackwell, vol. 30(3), pages 263-285, 05.
- 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.
- 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.
- 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.
- Philipp Sibbertsen, 2004.
"Long memory versus structural breaks: An overview,"
Springer, vol. 45(4), pages 465-515, October.
- 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.
- 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 271-287, July.
- Anindya Banerjee & Robin L. Lumsdaine & James H. Stock, 1990. "Recursive and Sequential Tests of the Unit Root and Trend Break Hypothesis: Theory and International Evidence," NBER Working Papers 3510, National Bureau of Economic Research, Inc.
- Sibbertsen, Philipp & Willert, Juliane, 2009.
"Testing for a break in persistence under long-range dependencies and mean shifts,"
Hannover Economic Papers (HEP)
dp-422, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
- 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.
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