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Bayesian Analysis of Seasonal Unit Roots and Seasonal Mean Shifts

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Author Info
Franses, Ph.H.B.F.
Hoek, H.
Paap, R. (Erasmus Econometric Institute)

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Abstract

In this paper we propose a Bayesian analysis of seasonal unit roots in quarterly observed time series. Seasonal unit root processes are useful to describe economic series with changing seasonal fluctuations. A natural alternative model for similar purposes contains deterministic seasonal mean shifts instead of seasonal stochastic trends. This leads to analysing seasonal unit roots in the presence of mean shifts using Bayesian techniques. Our method is illustrated using several simulated and empirical data.

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File URL: http://hdl.handle.net/1765/1354
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Publisher Info
Paper provided by Erasmus University Rotterdam, Econometric Institute in its series Econometric Institute Report with number EI 9527-/A Revision_Date: 2009-11-06.

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Date of creation: 01 Jan 1995
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Handle: RePEc:dgr:eureir:1765001354

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Related research
Keywords: unit roots; Bayesian analysis; seasonality; structural breaks;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Paap, Richard & Franses, Philip Hans & Hoek, Henk, 1997. "Mean shifts, unit roots and forecasting seasonal time series," International Journal of Forecasting, Elsevier, vol. 13(3), pages 357-368, September. [Downloadable!] (restricted)
  2. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238. [Downloadable!] (restricted)
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  3. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
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  4. Engle, R.F. & Granger, C.W.J. & Hylleberg, S. & Lee, H.S., 1990. "Seasonal Cointegration: The Japanese Consumption Function," Economics Working Papers 1990-10, School of Economics and Management, University of Aarhus.
  5. Osborn, Denise R., 1993. "Seasonal cointegration," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 299-303. [Downloadable!] (restricted)
  6. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
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  7. Hylleberg, Svend & Jorgensen, Clara & Sorensen, Nils Karl, 1993. "Seasonality in Macroeconomic Time Series," Empirical Economics, Springer, vol. 18(2), pages 321-35.
  8. DeJong, David N. & Whiteman, Charles H., 1991. "Reconsidering 'trends and random walks in macroeconomic time series'," Journal of Monetary Economics, Elsevier, vol. 28(2), pages 221-254, October. [Downloadable!] (restricted)
  9. Ghysels, E., 1990. "On the Economic and Econometrics of Seasonality," Cahiers de recherche 9028, Universite de Montreal, Departement de sciences economiques.
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Lawrence J. Christiano & Richard M. Todd, 2000. "The Conventional Treatment of Seasonality in Business Cycle Analysis: Does it Create Distortions?," NBER Technical Working Papers 0266, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Artur C. B. da Silva Lopes & Antonio Montañés, 2004. "The Behavior of HEGY Tests for Quarterly Time Series with Seasonal Mean Shifts," Econometrics 0411010, EconWPA. [Downloadable!]
  3. Harvey, David I. & Leybourne, Stephen J. & Newbold, Paul, 2002. "Seasonal unit root tests with seasonal mean shifts," Economics Letters, Elsevier, vol. 76(2), pages 295-302, July. [Downloadable!] (restricted)
  4. P.H. Franses & D. Van Dijk, 2001. "The Forecasting Performance of Various Models for Seasonality and Nonlinearity for Quarterly Industrial Production," Econometric Institute Report 222, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
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  5. Raimundo Soto, 2000. "Ajuste Estacional e Integración en Variables Macroeconómicas," Working Papers Central Bank of Chile 73, Central Bank of Chile. [Downloadable!]
    Other versions:
  6. Mickael Salabasis & Sune Karlsson, 2004. "Seasonality, Cycles and Unit Roots," Econometric Society 2004 Australasian Meetings 268, Econometric Society. [Downloadable!]
  7. Uwe Hassler & Paulo M. M. Rodrigues, 2002. "Seasonal Unit Root Tests under Structural Breaks," Darmstadt Discussion Papers in Economics 113, Institut für Volkswirtschaftslehre (Department of Economics), Technische Universität Darmstadt (Darmstadt University of Technology). [Downloadable!]
    Other versions:
  8. Kunst, Robert M., 1997. "Decision Bounds for Data-Admissible Seasonal Models," Economics Series 51, Institute for Advanced Studies. [Downloadable!]
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