Skip to main content
Log in

A Note on Seasonal Unit Root Tests

  • Published:
Quality and Quantity Aims and scope Submit manuscript

Abstract

The seasonal unit root tests make it possible to determine the nature of the deterministic and stochastic seasonal fluctuations. In Section 2, we define the main seasonal time series models and the seasonal integration notion. Section 3 describes the HEGY test procedure.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abeysingue, T. (1994). Deterministic seasonal models and spurious regressions. Journal of Econometrics 61: 259-272.

    Google Scholar 

  • Andrade, I. C., Clare, A. D., O'Brien, R. J. & Thomas, S. H. (1999). Tests for stochastic seasonality applied to daily financial time series. The Manchester School 67: 39-59.

    Google Scholar 

  • Barsky, R. B. & Miron, J. A. (1989). The seasonal cycle and the business cycle. Journal of Political Economy 97: 503-535.

    Google Scholar 

  • Beaulieu, J. J. & Miron, J. A. (1993). Seasonal unit roots in aggregate U.S. data. Journal of Econometrics 55: 305-328.

    Google Scholar 

  • Caceres, J. J. (1996). Contraste de raices unitarias en datos semanales. Estadistica Espanola 38: 139-159.

    Google Scholar 

  • Darné, O. & Diebolt, C. (2000). Explorations in monetary cliometrics. The Reichsbank: 1876-1920. Historical Social Research 25: 23-35.

    Google Scholar 

  • Darné, O., Litago, J. & Terraza, M. (1999). Tests de racines unitaires saisonniè res de périodicité impaire.Working paper LAMETA, Faculté des Sciences Economiques, Université Montpellier I.

  • Dickey, D. A. (1993). Discussion: Seasonal unit root in aggregate U.S. data. Journal of Econometrics 55: 329-331.

    Google Scholar 

  • Dickey, D. A., Hasza, D. P. & Fuller, W. A. (1984). Testing for unit roots in seasonal time series. Journal of the American Statistical Association 79: 355-367.

    Google Scholar 

  • Engle, R. F., Granger, C. W. J. & Hallman, J. J. (1989). Merging short-and long-run forecast. An application of seasonal cointegration to monthly electricity sales forecasting. Journal of Econometrics 40: 45-62.

    Google Scholar 

  • Feltham, S. C. & Giles, D. E. A. (1999). Testing for unit roots in semi-annual data. Econometrics Working Paper EWP 9912, Department of Economics, University of Victoria.

  • Franses, P. H. (1991). Seasonality, non-stationary and the forecasting of monthly time series. International Journal of Forecasting 7: 199-208.

    Google Scholar 

  • Franses, P. H. & Hobijn, B. (1997). Critical values for unit root tests in seasonal time series. Journal of Applied Statistics 24: 25-47.

    Google Scholar 

  • Ghysels, E., Lee, H. S. & Noh, J. (1994). Testing for unit roots in seasonal time series: Some theoretical extensions and a Monte Carlo investigation. Journal of Econometrics 62: 415-442.

    Google Scholar 

  • Hasza, D. P. & Fuller, W. A. (1982). Testing for nonstationary parameter specifications in seasonal time series models. Annals of Statistics 10: 1209-1216.

    Google Scholar 

  • Hylleberg, S. (1992). Modelling Seasonality. Oxford: Oxford University Press.

    Google Scholar 

  • Hylleberg, S., Jorgensen, C. & Sorensen, N. K. (1993). Seasonal in macroeconomic time series. Empirical Economics 18: 321-335.

    Google Scholar 

  • Hylleberg, S., Engle, R. F., Granger, C. W. J. & Yoo, B. S. (1990). Seasonal integration and cointegration. Journal of Econometrics 44: 215-238.

    Google Scholar 

  • Osborn, D. R. (1990). A survey of seasonality in UK macroeconomic variables. International Journal of Forecasting 6: 327-336.

    Google Scholar 

  • Osborn, D. R., Chui, A. P. L., Smith, J. P. & Birchenhall, C. R. (1988). Seasonality and the order of integration for consumption. Oxford Bulletin of Economics and Statistics 50: 361-377.

    Google Scholar 

  • Otto, G. & Wirjanto, T. (1990). Seasonal unit-root test on Canadian macroeconomic time series. Economics Letters 34: 117-120.

    Google Scholar 

  • Smith, R. J. & Taylor, A. M. R. (1999a). Likelihood ratio tests for seasonal unit roots. Journal of Time Series Analysis (forthcoming).

  • Smith, R. J. & Taylor, A. M. R. (1999b). Regression-based seasonal unit root tests. Department of Economics Discussion Paper 99-15, The University of Birmingham.

  • Taylor, A. M. R. (1997). On the practical problems of computing seasonal unit root tests. International Journal of Forecasting 13: 307-318.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Darné, O., Diebolt, C. A Note on Seasonal Unit Root Tests. Quality & Quantity 36, 305–310 (2002). https://doi.org/10.1023/A:1016032601197

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016032601197

Navigation