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On the performance of the DHF tests against nonstationary alternatives

  • del Barrio Castro, Tomas

The distributions of the Dickey Hasza Fuller [1984. Testing for unit roots in seasonal time series. J. Amer. Statist. Assoc. 79, 355-367] tests are obtained when the sources of nonstationarity are the factors (1-L),(1+L),(1+L2),(L-L2) and (1+L+L2+L3). It is shown that the tests do not diverge to minus infinity in these situations.

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Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 76 (2006)
Issue (Month): 3 (February)
Pages: 291-297

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Handle: RePEc:eee:stapro:v:76:y:2006:i:3:p:291-297
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  1. Denise Osborn & Paulo Rodrigues, 2002. "Asymptotic Distributions Of Seasonal Unit Root Tests: A Unifying Approach," Econometric Reviews, Taylor & Francis Journals, vol. 21(2), pages 221-241.
  2. Peter C.B. Phillips, 1985. "Understanding Spurious Regressions in Econometrics," Cowles Foundation Discussion Papers 757, Cowles Foundation for Research in Economics, Yale University.
  3. repec:cup:cbooks:9780521562607 is not listed on IDEAS
  4. Rodrigues, Paulo M. M. & Taylor, A. M. Robert, 2004. "Alternative estimators and unit root tests for seasonal autoregressive processes," Journal of Econometrics, Elsevier, vol. 120(1), pages 35-73, May.
  5. 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.
  6. Hylleberg, Svend & Jorgensen, Clara & Sorensen, Nils Karl, 1993. "Seasonality in Macroeconomic Time Series," Empirical Economics, Springer, vol. 18(2), pages 321-35.
  7. Hyllerberg, S. & Engle, R.F. & Granger, C.W.J. & Yoo, B.S., 1988. "Seasonal Integration And Cointegration," Papers 0-88-2, Pennsylvania State - Department of Economics.
  8. 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.
  9. Paulo Rodrigues & Denise Osborn, 1999. "Performance of seasonal unit root tests for monthly data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 985-1004.
  10. repec:cup:cbooks:9780521565882 is not listed on IDEAS
  11. Taylor, A.M. Robert, 2003. "On The Asymptotic Properties Of Some Seasonal Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 19(02), pages 311-321, April.
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