Asymptotic Distributions For Regression-Based Seasonal Unit Root Test Statistics In A Near-Integrated Model
AbstractIn this paper we derive representations for the limiting distributions of the regression-based seasonal unit root test statistics of Hylleberg, Engle, Granger, and Yoo (1990, Journal of Econometrics 44, 215 238) and Beaulieu and Miron (1993, Journal of Econometrics 55, 305 328), inter alia, when the underlying process displays near seasonal integration. Our results generalize those presented in previous studies by allowing for an arbitrary seasonal periodicity (including the nonseasonal case), a wide range of possible assumptions on the initial conditions, a range of (seasonal) deterministic mean effects, and finite autoregressive behavior in the driving shocks. We use these representations to simulate the asymptotic local power functions of the seasonal unit root tests, demonstrating a significant dependence on serial correlation nuisance parameters in the case of the pairs of t-statistics, but not the associated F-statistic, for unit roots at the seasonal harmonic frequencies. Monte Carlo simulation results are presented that suggest that the local limiting distribution theory provides a good approximation to the finite-sample behavior of the statistics. Our results lend further weight to the advice of previous authors that inference on the unit root hypothesis at the seasonal harmonic frequencies should be based on the F-statistic, rather than on the associated pairs of t-ratios.We are grateful to Bruce Hansen and two anonymous referees for their helpful comments and suggestions on earlier versions of this paper.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Cambridge University Press in its journal Econometric Theory.
Volume (Year): 20 (2004)
Issue (Month): 04 (August)
Contact details of provider:
Postal: The Edinburgh Building, Shaftesbury Road, Cambridge CB2 2RU UK
Fax: +44 (0)1223 325150
Web page: http://journals.cambridge.org/jid_ECTProvider-Email:email@example.com
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Tomas del Barrio Castro, 2007.
"Using the HEGY Procedure When Not All Roots Are Present,"
Working Papers in Economics
170, Universitat de Barcelona. Espai de Recerca en Economia.
- Tomas del Barrio Castro, 2007. "Using the HEGY Procedure When Not All Roots Are Present," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(6), pages 910-922, November.
- Chambers, Marcus J. & Ercolani, Joanne S. & Taylor, A.M. Robert, 2014.
"Testing for seasonal unit roots by frequency domain regression,"
Journal of Econometrics,
Elsevier, vol. 178(P2), pages 243-258.
- Marcus J. Chambers & Joanne S. Ercolani & A. M. Robert Taylor, 2010. "Testing for seasonal unit roots by frequency domain regression," Discussion Papers 10/02, University of Nottingham, Granger Centre for Time Series Econometrics.
- Paulo M.M. Rodrigues & A.M. Robert Taylor, .
"Efficient Tests of the Seasonal Unit Root Hypothesis,"
06/12, University of Nottingham, School of Economics.
- Rodrigues, Paulo M.M. & Taylor, A.M. Robert, 2007. "Efficient tests of the seasonal unit root hypothesis," Journal of Econometrics, Elsevier, vol. 141(2), pages 548-573, December.
- Paulo M.M. Rodrigues & A.M. Robert Taylor, 2004. "Efficient Tests of the Seasonal Unit Root Hypothesis," Economics Working Papers ECO2004/29, European University Institute.
- Luis C. Nunes & Paulo M. M. Rodrigues, 2011.
"On LM‐type tests for seasonal unit roots in the presence of a break in trend,"
Journal of Time Series Analysis,
Wiley Blackwell, vol. 32(2), pages 108-134, 03.
- Luís Catela Nunes & Paulo M.M. Rodrigues, 2009. "On LM-Type Tests for Seasonal Unit Roots in the Presence of a Break in Trend," Working Papers w200920, Banco de Portugal, Economics and Research Department.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Keith Waters).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.