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Some tests for unit roots in seasonal time series with deterministic trends

Author

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  • Ahn, Sung K.
  • Cho, Sinsup

Abstract

Using the Lagrange multiplier principle, we develop test statistics for testing seasonal unit roots in a time series with possible deterministic trends. The asymptotic distributions of the test statistics are derived: they are functionals of stochastic integrals of standard Brownian bridges. Empirical percentiles of the test statistics for selected seasonal periods are provided.

Suggested Citation

  • Ahn, Sung K. & Cho, Sinsup, 1993. "Some tests for unit roots in seasonal time series with deterministic trends," Statistics & Probability Letters, Elsevier, vol. 16(2), pages 85-95, January.
  • Handle: RePEc:eee:stapro:v:16:y:1993:i:2:p:85-95
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    Citations

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    Cited by:

    1. Cho, Sinsup & Park, Young J. & Ahn, Sung K., 1995. "Unit root tests for seasonal models with deterministic trends," Statistics & Probability Letters, Elsevier, vol. 25(1), pages 27-35, October.
    2. El-Shazly, Alaa, 2016. "Structural breaks and monetary dynamics: A time series analysis," Economic Modelling, Elsevier, vol. 53(C), pages 133-143.
    3. Luis Gil-Alana, 2004. "Seasonal fractional components in macroeconomic time series," Applied Economics, Taylor & Francis Journals, vol. 36(12), pages 1265-1279.
    4. 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, March.
    5. Shin, Dong Wan & So, Beong Soo, 2000. "Gaussian tests for seasonal unit roots based on Cauchy estimation and recursive mean adjustments," Journal of Econometrics, Elsevier, vol. 99(1), pages 107-137, November.
    6. Luis Gil-Alana, 2010. "A seasonal fractional multivariate model. A testing procedure and impulse responses for the analysis of GDP and unemployment dynamics," Empirical Economics, Springer, vol. 38(2), pages 471-501, April.
    7. J. Cunado & L.A. Gil-Alana & F. Péarez de Gracia, 2005. "The Nature of Seasonality in Spanish Tourism Time Series," Tourism Economics, , vol. 11(4), pages 483-499, December.
    8. Gil-Alana, L.A., 2008. "Testing of seasonal integration and cointegration with fractionally integrated techniques: An application to the Danish labour demand," Economic Modelling, Elsevier, vol. 25(2), pages 326-339, March.

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