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Testing for Unit Roots in Semi-Annual Data

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Author Info
Sandra G. Feltham ()
David E.A. Giles ()

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Abstract

We consider the problem of testing for unit roots at the zero and seasonal frequencies in time-series data which are recorded semi-annually. The proposed methodology follows that of Hylleberg et al. (1990) and Beaulieu and Miron (1993) for quarterly and monthly data respectively. The non-standard asymptotic distributions for the single and joint tests are derived, and various percentiles of the finite-sample distributions are tabulated. Monte Carlo simulation is used to investigate the powers of the tests, and we illustrate their application to several semi-annual economic time-series.

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File URL: http://web.uvic.ca/econ/research/papers/ewp9912.pdf
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Publisher Info
Paper provided by Department of Economics, University of Victoria in its series Econometrics Working Papers with number 9912.

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Length: 29 pages
Date of creation: 24 Aug 1999
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Handle: RePEc:vic:vicewp:9912

Note: ISSN 1485-6441
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Postal: PO Box 1700, STN CSC, Victoria, BC, Canada, V8W 2Y2
Phone: (250)721-8540
Fax: (250)721-6214
Web page: http://web.uvic.ca/econ
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Related research
Keywords: Unit roots; non-stationary data; seasonality; semi-annual data;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

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  1. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238. [Downloadable!] (restricted)
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  2. Ghysels, Eric & Lee, Hahn S. & Noh, Jaesum, 1994. "Testing for unit roots in seasonal time series : Some theoretical extensions and a Monte Carlo investigation," Journal of Econometrics, Elsevier, vol. 62(2), pages 415-442, June. [Downloadable!] (restricted)
  3. Denise Osborn & Paulo Rodrigues, 2002. "Asymptotic Distributions Of Seasonal Unit Root Tests: A Unifying Approach," Econometric Reviews, Taylor and Francis Journals, vol. 21(2), pages 221-241. [Downloadable!] (restricted)
  4. Dolado, Juan J & Jenkinson, Tim & Sosvilla-Rivero, Simon, 1990. " Cointegration and Unit Roots," Journal of Economic Surveys, Blackwell Publishing, vol. 4(3), pages 249-73.
  5. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June. [Downloadable!] (restricted)
  6. Osborn, Denise R, et al, 1988. "Seasonality and the Order of Integration for Consumption," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 50(4), pages 361-77, November.
  7. Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation, Yale University, revised Feb 1986. [Downloadable!]
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  8. Smith, Richard J. & Taylor, A. M. Robert, 1998. "Additional critical values and asymptotic representations for seasonal unit root tests," Journal of Econometrics, Elsevier, vol. 85(2), pages 269-288, August. [Downloadable!] (restricted)
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  9. PHILIP HANS FRANSES & BART HOBIJN,, 1997. "Critical values for unit root tests in seasonal time series," Journal of Applied Statistics, Taylor and Francis Journals, vol. 24(1), pages 25-48, February. [Downloadable!] (restricted)
  10. Joseph Beaulieu, J. & Miron, Jeffrey A., 1993. "Seasonal unit roots in aggregate U.S. data," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 305-328. [Downloadable!] (restricted)
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