Abstract
In this article we examine the existence of unit root cycles in 11 long Swedish macroeconomic time series. We use a version of the tests of Robinson (1994) that permits us to test this type of hypothesis, which is based on the Gegenbauer processes. The results show that, for most of the series, the unit root cycles occur approximately every six periods. However, in case of the GDP deflator and wage rates, first differences may be required before proceeding to the analysis of the cyclical structure.
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References
J. Ahtola G. C. Tiao (1987a) ArticleTitle‘Distributions of least squares estimators of autoregressive parameters for a process with complex roots on the unit circle’ Journal of Time Series Analysis 8 1–14
J. Ahtola G. C. Tiao (1987b) ArticleTitle‘A note on asymptotic inference in autoregressive models with roots on the unit circle’ Journal of Time Series Analysis 8 15–18
J. Arteche (2002) ArticleTitle‘Semiparametric robust tests on seasonal and cyclical long memory series’ Journal of Time Series Analysis 23 1–35
J. Arteche P. M. Robinson (2000) ArticleTitle‘Semiparametric inference in seasonal and cyclical long memory processes’ Journal of Time Series Analysis 21 1–25
P. Beaudry G. Koop (1993) ArticleTitle‘Do recessions permanently change output?’ Journal of Monetary Economics 31 149–163
A. Bhargava (1986) ArticleTitle‘On the theory of testing for unit roots in observed time series’ Review of Economic Studies 53 369–384
H. J. Bierens (2001) ArticleTitle‘Complex unit roots and business cycles: Are they real?’ Econometric Theory 17 962–983
B. Candelon L.A. Gil-Alana (2004) ArticleTitle‘Fractional integration and business cycle characteristics’ Empirical Economics 19 1–17
Y. N. H. Chan C. Z. Wei (1988) ArticleTitle‘Limiting distribution of least squares estimates of unstable autoregressive processes’ Annals of Statistics 16 367–401
D. A. Dickey W.A. Fuller (1979) ArticleTitle‘Distribution of the estimators for autoregressive time series with a unit root’ Journal of the American Statistical Association 79 427–431
F. X. Diebold G. D. Rudebusch (1991) ArticleTitle‘On the power of Dickey and Fuller tests against fractional alternatives’ Economics Letters 35 155–160
P. Englund T. Persson L. E. O. Svensson (1992) ArticleTitle‘Swedish business cycles 1861–1998’ Journal of Monetary Economics 30 343–371
L. Ferrara D. Guegan (2001) ArticleTitle‘Forecasting with k-factor Gegenbauer processes: Theory and applications’ Journal of Forecasting 20 581–601
L. A. Gil-Alana (1999) ArticleTitle‘Testing of fractional integration with monthly data’ Economic Modelling 16 613–629
L. A. Gil-Alana (2001) ArticleTitle‘Testing of stochastic cycles in macroeconomic time series’ Journal of Time Series Analysis 22 411–430
L. A. Gil-Alana P. M. Robinson (1997) ArticleTitle‘Testing of unit roots and other nonstationary hypotheses in macroeconomic time series’ Journal of Econometrics 80 241–268
L. A. Gil-Alana P. M. Robinson (2001) ArticleTitle‘Testing of seasonal fractional integration in the UK and Japanese consumption and income’ Journal of Applied Econometrics 16 95–114
H. L. Gray N. F. Zhang W. A. Woodward (1989) ArticleTitle‘On generalized fractional processes’ Journal of Time Series Analysis 10 233–257
H. L. Gray N. F. Zhang W. A. Woodward (1994) ArticleTitle‘On generalized fractional processes.–A correction’ Journal of Time Series Analysis 15 561–562
S. Gregoir (1999) ‘Efficient tests for the presence of a couple of complex conjugate unit roots in real time series’ Santiago de Compostela Spain
A. C. Harvey (1985) ArticleTitle‘Trends and cycles in macroeconomic time series’ Journal of Business and Economic Statistics 3 216–227
U. Hassler J. Wolters (1994) ArticleTitle‘On the power of unit root tests against fractional alternatives’ Economics Letters 45 1–5
G. D. Hess S. Iwata (1997) ArticleTitle‘Measuring and comparing business cycle features’ Journal of Business Economics and Statistics 15 432–444
P. C. B. Phillips P. Perron (1988) ArticleTitle‘Testing for a unit root in a time series regression’ Biometrika 75 335–346
Perron, P. (1993) ‘Trends, unit roots and structural change in macroeconomic time series’, Unpublished manuscript, University of Montreal, Montreal.
M. B. Priestley (1981) Spectral Analysis and Time Series Academic Press New York
P. M. Robinson (1994) ArticleTitle‘Efficient tests of non-stationary hypotheses’ Journal of the American Statistical Association 89 1420–1437
P. Schmidt P. C. B. Phillips (1992) ArticleTitle‘LM tests for a unit root in the presence of deterministic trends’ Oxford Bulletin of Economics and Statistics 54 257–287
J. Skalin T. Terasvirta (1999) ArticleTitle‘Another look at Swedish business cycles 1861–1998’ Journal of Applied Econometrics 14 359–378
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Gil-alana, L.A. Testing of Unit Root Cycles in the Swedish Economy. Empirica 31, 333–344 (2004). https://doi.org/10.1007/s10663-004-0521-5
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DOI: https://doi.org/10.1007/s10663-004-0521-5