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.
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References
Abeysingue, T. (1994). Deterministic seasonal models and spurious regressions. Journal of Econometrics 61: 259-272.
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.
Barsky, R. B. & Miron, J. A. (1989). The seasonal cycle and the business cycle. Journal of Political Economy 97: 503-535.
Beaulieu, J. J. & Miron, J. A. (1993). Seasonal unit roots in aggregate U.S. data. Journal of Econometrics 55: 305-328.
Caceres, J. J. (1996). Contraste de raices unitarias en datos semanales. Estadistica Espanola 38: 139-159.
Darné, O. & Diebolt, C. (2000). Explorations in monetary cliometrics. The Reichsbank: 1876-1920. Historical Social Research 25: 23-35.
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.
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.
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.
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.
Franses, P. H. & Hobijn, B. (1997). Critical values for unit root tests in seasonal time series. Journal of Applied Statistics 24: 25-47.
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.
Hasza, D. P. & Fuller, W. A. (1982). Testing for nonstationary parameter specifications in seasonal time series models. Annals of Statistics 10: 1209-1216.
Hylleberg, S. (1992). Modelling Seasonality. Oxford: Oxford University Press.
Hylleberg, S., Jorgensen, C. & Sorensen, N. K. (1993). Seasonal in macroeconomic time series. Empirical Economics 18: 321-335.
Hylleberg, S., Engle, R. F., Granger, C. W. J. & Yoo, B. S. (1990). Seasonal integration and cointegration. Journal of Econometrics 44: 215-238.
Osborn, D. R. (1990). A survey of seasonality in UK macroeconomic variables. International Journal of Forecasting 6: 327-336.
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.
Otto, G. & Wirjanto, T. (1990). Seasonal unit-root test on Canadian macroeconomic time series. Economics Letters 34: 117-120.
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.
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Darné, O., Diebolt, C. A Note on Seasonal Unit Root Tests. Quality & Quantity 36, 305–310 (2002). https://doi.org/10.1023/A:1016032601197
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DOI: https://doi.org/10.1023/A:1016032601197