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Critical values for unit root tests in seasonal time series

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Author Info
PHILIP HANS FRANSES & BART HOBIJN,
Abstract

SUMMARY In this paper, we present tables with critical values for a variety of tests for seasonal and non-seasonal unit roots in seasonal time series. We consider (extensions of) the Hylleberg et al. and Osborn et al. test procedures. These extensions concern time series with increasing seasonal variation and time series with structural breaks in the seasonal means. For each case, we give the appropriate auxiliary test regression, the test statistics, and the corresponding critical values for a selected set of sample sizes. We also illustrate the practical use of the auxiliary regressions for quarterly new car sales in the Netherlands. Supplementary to this paper, we provide Gauss programs with which one can generate critical values for particular seasonal frequencies and sample sizes.

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Article provided by Taylor and Francis Journals in its journal Journal of Applied Statistics.

Volume (Year): 24 (1997)
Issue (Month): 1 (February)
Pages: 25-48
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Handle: RePEc:taf:japsta:v:24:y:1997:i:1:p:25-48

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  1. Otero, Jesús & Smith, Jeremy & Giulietti, Monica, 2008. "Testing for seasonal unit roots in heterogeneous panels using monthly data in the presence of cross sectional dependence," The Warwick Economics Research Paper Series (TWERPS) 865, University of Warwick, Department of Economics. [Downloadable!]
  2. Gabriel Pons Rotger, 2004. "Seasonal Unit Root Testing Based on the Temporal Aggregation of Seasonal Cycles," Economics Working Papers 2004-1, School of Economics and Management, University of Aarhus. [Downloadable!]
  3. Sandra G. Feltham & David E.A. Giles, 1999. "Testing for Unit Roots in Semi-Annual Data," Econometrics Working Papers 9912, Department of Economics, University of Victoria. [Downloadable!]
  4. Sørensen, Nils Karl, 2002. "Modelling and seasonal forecasting of monthly hotel nights in Denmark," ERSA conference papers ersa02p114, European Regional Science Association. [Downloadable!]
  5. Rotger, Gabriel Pons, . "Testing for Seasonal Unit Roots with Temporally Aggregated Time Series," Economics Working Papers 2003-16, School of Economics and Management, University of Aarhus. [Downloadable!]
  6. Luis Fernando Melo & Fabio Nieto & Mario Ramos, . "A Leading Index for the Colombian Economic Activity," Borradores de Economia 243, Banco de la Republica de Colombia. [Downloadable!]
    Other versions:
  7. Paulo M. M. Rodrigues, Denise R. Osborn, 1999. "Performance of seasonal unit root tests for monthly data," Journal of Applied Statistics, Taylor and Francis Journals, vol. 26(8), pages 985-1004, December. [Downloadable!] (restricted)
  8. 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:
  9. Juncal Cuñado & Luis A. Gil-Alaña, . "Tourism in the Canary Islands: Forecasting Using Several Seasonal Time Series Models," Faculty Working Papers 02/07, School of Economics and Business Administration, University of Navarra. [Downloadable!]
    Other versions:
  10. Giorgio Bodo & Roberto Golinelli & Giuseppe Parigi, 2000. "Forecasting Industrial Production in the Euro Area," Temi di discussione (Economic working papers) 370, Bank of Italy, Economic Research Department. [Downloadable!]
    Other versions:
  11. Jesus Otero & Manuel Ramirez, 2002. "On the determinants of the inflation rate in Colombia: a disequilibrium market approach," BORRADORES DE INVESTIGACIÓN 003296, UNIVERSIDAD DEL ROSARIO - FACULTAD DE ECONOMÍA. [Downloadable!]
  12. Pami Dua & Lokendra Kumawat, 2005. "Modelling and Forecasting Seasonality in Indian Macroeconomic Time Series," Working papers 136, Centre for Development Economics, Delhi School of Economics. [Downloadable!]
  13. Denise Osborn & Paulo Rodrigues, 2002. "Asymptotic Distributions Of Seasonal Unit Root Tests: A Unifying Approach," Econometric Reviews, Taylor and Francis Journals, vol. 21(2), pages 221-241. [Downloadable!] (restricted)
  14. Johann Burgstaller, 2003. "Interest Rate Transmission to Commercial Credit Rates in Austria," Economics working papers 2003-06, Department of Economics, Johannes Kepler University Linz, Austria. [Downloadable!]
  15. Jochen Moebert, 2007. "Crude Oil Price Determinants," Darmstadt Discussion Papers in Economics 186, Institut für Volkswirtschaftslehre (Department of Economics), Technische Universität Darmstadt (Darmstadt University of Technology). [Downloadable!]
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