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Illusive Persistence in German Unemployment

Published online by Cambridge University Press:  17 August 2016

Rolf Tschernig  and
Klaus F. Zimmermann
Rolf Tschernig
Affiliation:
Universität München
Klaus F. Zimmermann
Affiliation:
Universität München & CEPR, London
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Summary

The non-stationarity of many macroeconomic time-series has lead to an increased demand for economic models that are able to generate fragile equilibria. For instance, the natural unemployment rate is allowed to shift over time depending on past unemployment. Actually, many European unemployment series seem to exhibit a unit root or persistence. This view is questioned in the paper using German data on unemployment. A new class of time-series models, the fractionally integrated ARMA model, that allows the difference parameter to take real values, enables the researcher to separate long memory and short memory in the data. It is shown that using this approach the unit root hypothesis is rejected but unemployment exhibits long memory.

Résumé

Résumé

La non-stationarité de nombreuses séries temporelles macroéconomiques a suscité une demande accrue de modèles économiques capables de générer des équilibres fragiles. Par exemple, le taux de chômage naturel peut varier dans le temps par effet d'hystérésis. En réalité de nombreuses séries sur le chômage en Europe révèlent soit une racine unitaire soit un phénomène de persistence. Notre article qui utilise des données allemandes sur le chômage remet cette perspective en cause. Un nouveau type de modèle pour les séries temporelles - un modèle intégré d'ordre fractionnaires- qui permet aux paramètres de différences de prendre des valeurs réelles, permet de distinguer dans les données ce qui relève d'une mémoire courte ou longue. La mise en œuvre de cette approche conduit à rejetter l'hypothèse de racine unitaire et met en évidence que le chômage s'inscrit dans une perspective de mémoire longue.

Keywords

C22E24J64C22E24J64
Type
Part IV: Time Series Analysis of Output and Employment
Information
Recherches Économiques de Louvain/ Louvain Economic Review , Volume 58 , Issue 3-4: Output and Employment Fluctuations , 1992 , pp. 441 - 453
Copyright
Copyright © Université catholique de Louvain, Institut de recherches économiques et sociales 1992 

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Footnotes

(*)

We wish to thank Christoph M. Schmidt and the referees for their valuable comments.

References

REFERENCES

Blanchard, O.J. and Summers, L.H. (1988), Hysteresis and the European Unemployment Problem. In: Cross, R. (ed.), Unemployment, Hysteresis and the Natural Rate Hypothesis, Oxford: Basil Blackwell, pp. 306–364 Google Scholar
Brockwell, P.J. and Davis, R.A. (1991), Time Series: Theory and Methods, New York et al.: Springer-Verlag.Google Scholar
Campbell, J.Y. and Mankiw, N.G. (1987), Are Output Fluctuations Transitory?, Quarterly Journal of Economics, Vol. 102, pp. 857–880.Google Scholar
Campbell, J.Y. and Perron, P. (1991), Pitfalls and Opportunities: What Macro-economists Should Know About Unit Roots, paper presented at the NBER Macroeconomics Conference, Cambridge, MA, March 8-9, 1991.Google Scholar
Cheung, Y. (1990), Long Memory in Foreign Exchange Rates and Sampling Properties of some Statistical Procedures to Long Memory Series. Dissertation, University of Pennsylvania.Google Scholar
Cheung, Y. and Diebold, F.X. (1990), On Maximum-Likelihood Estimation of the Differencing Parameter of Fractionally Integrated Noise with Unknown Mean, discussion paper, Institute for Empirical Macroeconomics, Federal Reserve Bank of Minneapolis.Google Scholar
Cross, R. (ed.) (1988), Unemployment, Hysteresis and the Natural Rate Hypothesis. Oxford: Basil Blackwell Ltd Google Scholar
Dahlhaus, R. (1989), Efficient Parameter Estimation for Self-similar Processes, The Annals of Statistics, Vol. 17(4), pp. 1749–1766.Google Scholar
Dickey, D.A. and Fuller, W.A. (1981), Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root, Economctrica, Vol. 49, pp. 1057–1072.Google Scholar
Diebold, F.X. and Rudebusch, G.D. (1989), Long Memory and Persistence in Aggregate Output, Journal of Monetary Economics, Vol. 24, pp. 189–209.Google Scholar
Engle, R.F. and Granger, C.W.J. (eds.) (1991), Long-Run Economic Relationships. Readings in Cointegration. Oxford, New York et al.: Oxford University Press.Google Scholar
Fox, R. and Taqqu, M.S. (1986), Large-Sample Properties of Parameter Estimates for Strongly Dependent Stationary Gaussian Time Series, The Annals of Statistics, Vol. 14(2), pp. 517–532.Google Scholar
Geweke, J. and Porter-Hudak, S. (1983), The Estimation and Application of Long Memory Time Series Models, Journal of Time Series Analysis, Vol. 4(4), pp. 221–228.Google Scholar
Ghysels, E. (1990), Unit-Root Tests and the Statistical Pitfalls of Seasonal Adjustment: The Case of U.S. Postwar Real Gross National Product, Journal of Business and Economic Statistics, Vol. 8(2), pp. 145–162.Google Scholar
Granger, C.W.J. and Joyeux, R. (1980), An Introduction to Long Memory Time Series Models and Fractional Differencing, Journal of Time Series Analysis, Vol. 1(1), pp. 15–29.Google Scholar
Hosking, J.R.M. (1981), Fractional Differencing, Biometrika, Vol. 68(1), pp. 165–176.Google Scholar
Robinson, P. (1990), Time Series with Strong Dependence, invited Paper presented at the 6th World Congress of the Econometric Society in Barcelona, August 1990.Google Scholar
Sowell, F. (1990a), Modelling Long Run Behavior with the Fractional ARIMA Model, mimeo, Graduate School of Industrial Administration, Carnegie Mellon University.Google Scholar
Sowell, F. (1990b), The Fractional Unit Root Distribution, Econometrica, Vol. 58(2), pp. 495–505.Google Scholar
Sowell, F. (1992), Maximum Likelihood Estimation of Stationary Univariate Fractionally Integrated Time Series Models, Journal of Econometrics, Vol. 53(1-3), pp. 165–188.Google Scholar
Tschernig, R. (1992), Wechselkurse, Unsicherheit und Long Memory, Dissertation, University of Munich.Google Scholar
Whittle, P. (1951), Hypothesis Testing in Time Series Analysis. Uppsala: Almquist & Wiksells Boktryckeri AB.Google Scholar
Wolters, J. (1992), Persistence and Seasonality in Output and Employment of the Federal Republic of Germany, Recherches Economiques de Louvain, in this issue.Google Scholar
Zimmermann, K.F. (1991), Ageing and the Labor Market. Age Structure, Cohort Size and Unemployment, Journal of Population Economics, Vol. 4, pp. 177–200.Google Scholar