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Test Procedures for Unit Roots in Time Series with Level Shifts at Unknown Time

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Author Info
Markku Lanne (University of Helsinki)
Helmut Lutkepohl (European University Institute, Florence, and Humboldt University Berlin)
Pentti Saikkonen (University of Helsinki)

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Abstract

Two types of unit root tests which accommodate a structural level shift at a known point in time are extended to the situation where the break date is unknown. It is shown that for any estimator for the break date the tests have the same asymptotic distribution as the corresponding tests under the known break date assumption. Different estimators of the break date are compared in a Monte Carlo experiment and a recommendation for choosing the break date in small samples is given. Example series from the Nelson--Plosser data set are used to illustrate the performance of our tests. Copyright Blackwell Publishing Ltd, 2003.

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Publisher Info
Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics and Statistics.

Volume (Year): 65 (2003)
Issue (Month): 1 (February)
Pages: 91-115
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Handle: RePEc:bla:obuest:v:65:y:2003:i:1:p:91-115

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
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  2. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 237-50, July.
    Other versions:
  3. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
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  4. 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.
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  5. Kleibergen, Frank & Hoek, Henk, 1996. "Bayesian analysis of ARMA models using noninformative priors," Econometric Institute Report 39, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
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  6. repec:cup:etheor:v:11:y:1995:i:2:p:359-68 is not listed on IDEAS
  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.
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Melisso Boschi, 2007. "Foreign capital in Latin America: A long-run structural Global VAR perspective," Economics Discussion Papers 647, University of Essex, Department of Economics. [Downloadable!]
  2. Stephan Popp, 2008. "A Nonlinear Unit Root Test in the Presence of an Unknown Break," Ruhr Economic Papers 0045, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen. [Downloadable!]
  3. Melisso Boschi & Alessandro Girardi, 2005. "Euro Area inflation: long-run determinants and short-run dynamics," ISAE Working Papers 60, ISAE - Institute for Studies and Economic Analyses - (Rome, ITALY). [Downloadable!]
    Other versions:
  4. Andrew Coleman & John Landon-Lane, 2007. "Housing Markets and Migration in New Zealand, 1962-2006," Reserve Bank of New Zealand Discussion Paper Series DP2007/12, Reserve Bank of New Zealand. [Downloadable!]
  5. He, Changli & Sandberg, Rickard, 2005. "Dickey-Fuller Type of Tests against Nonlinear Dynamic Models," Working Paper Series in Economics and Finance 580, Stockholm School of Economics. [Downloadable!]
  6. Joseph P. Byrne & Roger Perman, 2006. "Unit Roots and Structural Breaks: A Survey of the Literature," Working Papers 2006_10, Department of Economics, University of Glasgow. [Downloadable!]
  7. He, Changli & Sandberg, Rickard, 2005. "Testing for Unit Roots in Nonlinear Dynamic Heterogeneous Panels," Working Paper Series in Economics and Finance 582, Stockholm School of Economics. [Downloadable!]
  8. Chan, Tze-Haw & Chong, Lee Lee & Khong, Wye Leong Roy, 2008. "Real Exchange Rate Behavior: New Evidence with Linear and Non-linear Endogenous Break(s)," MPRA Paper 3406, University Library of Munich, Germany. [Downloadable!]
  9. Claude Lopez, 2008. "GLS-detrending and Regime-wise Stationarity Testing in Small Samples," University of Cincinnati, Economics Working Papers Series 2008-01, University of Cincinnati, Department of Economics, revised 2008. [Downloadable!]
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