Testing for a break in persistence under long-range dependencies
We show that tests for a break in the persistence of a time series in the classical I(0)/I(1) framework have serious size distortions when the actual data-generating process (DGP) exhibits long-range dependencies. We prove that the limiting distribution of a CUSUM of squares-based test depends on the true memory parameter if the DGP exhibits long memory. We propose adjusted critical values for the test and give finite sample response curves that allow easy implementation of the test by the practitioner and also ease in computing the relevant critical values. We furthermore prove the consistency of the test for a simple breakpoint estimator also under long memory. We show that the test has satisfying power properties when the correct critical values are used. Copyright 2009 The Authors. Journal compilation 2009 Blackwell Publishing Ltd
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Volume (Year): 30 (2009)
Issue (Month): 3 (05)
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- O'Reilly,Gerard & Whelan, Karl, 2004.
"Has Euro-Area Inflation Persistence Changed Over Time?,"
Research Technical Papers
4/RT/04, Central Bank of Ireland.
- Gerard O'Reilly & Karl Whelan, 2005. "Has Euro-Area Inflation Persistence Changed Over Time?," The Review of Economics and Statistics, MIT Press, vol. 87(4), pages 709-720, November.
- O'Reilly, Gerard & Whelan, Karl, 2004. "Has euro-area inflation persistence changed over time?," Working Paper Series 0335, European Central Bank.
- Gerard O'Reilly & Karl Whelan, 2005. "Has Euro-area inflation persistence changed over time?," Open Access publications 10197/211, School of Economics, University College Dublin.
- Gerard O'Reilly & Karl Whelan, 2004. "Has Euro-area inflation persistence changed over time?," Open Access publications 10197/251, School of Economics, University College Dublin.
- Stephen Leybourne & Tae-Hwan Kim & Vanessa Smith & Paul Newbold, 2003. "Tests for a change in persistence against the null of difference-stationarity," Econometrics Journal, Royal Economic Society, vol. 6(2), pages 291-311, December.
- Markku Lanne, 2004.
"Nonlinear dynamics of interest rate and inflation,"
- Busetti, Fabio & Taylor, A. M. Robert, 2004. "Tests of stationarity against a change in persistence," Journal of Econometrics, Elsevier, vol. 123(1), pages 33-66, November.
- Hassler, Uwe & Wolters, Jurgen, 1995. "Long Memory in Inflation Rates: International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 37-45, January.
- Pivetta, Frederic & Reis, Ricardo, 2007. "The persistence of inflation in the United States," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1326-1358, April.
- 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.
- 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.
- Kim, Jae-Young & Belaire-Franch, Jorge & Amador, Rosa Badillo, 2002. "Corrigendum to "Detection of change in persistence of a linear time series" [J. Econom. 95 (2000) 97-116]," Journal of Econometrics, Elsevier, vol. 109(2), pages 389-392, August.
- 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.
- 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.
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