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Numerical distribution functions for seasonal stability tests

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  • Díaz-Emparanza, Ignacio
  • Moral, M. Paz

Abstract

The seasonal stability tests of Canova and Hansen (1995) (CH) provide a method complementary to that of Hylleberg et al. (1990) for testing for seasonal unit roots. But the distributions of the CH tests are unknown for small samples. We present a method for numerically computing critical values and P-values for the CH tests for any sample size and any seasonal periodicity. In fact, this method is applicable to the types of seasonality which are commonly in use, but also to any other.

Suggested Citation

  • Díaz-Emparanza, Ignacio & Moral, M. Paz, 2014. "Numerical distribution functions for seasonal stability tests," Statistics & Probability Letters, Elsevier, vol. 86(C), pages 44-49.
  • Handle: RePEc:eee:stapro:v:86:y:2014:i:c:p:44-49
    DOI: 10.1016/j.spl.2013.12.002
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    References listed on IDEAS

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    1. Jurgen A. Doornik, 1998. "Approximations To The Asymptotic Distributions Of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
    2. 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.
    3. Canova, Fabio & Hansen, Bruce E, 1995. "Are Seasonal Patterns Constant over Time? A Test for Seasonal Stability," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 237-252, July.
    4. Harvey, David I. & van Dijk, Dick, 2006. "Sample size, lag order and critical values of seasonal unit root tests," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2734-2751, June.
    5. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
    6. Jurgen A. Doornik, 1998. "Approximations To The Asymptotic Distributions Of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
    7. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
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