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Fractional and seasonal filtering


  • Dominique Guegan

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

  • Laurent Ferrara

    (DGEI-DAMEP - Banque de France)


We introduce in this study a new strategy to model simultaneously persistence and seasonality inside economic data using different stochastic filters based on the Gegenbauer modelling. The limits and advantages of these filters are discussed in order to improve the adjustment of economic series, particularly when specific trend is observed. The series of new cars registrations in the Euro-zone is modelled using the previous filters

Suggested Citation

  • Dominique Guegan & Laurent Ferrara, 2008. "Fractional and seasonal filtering," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00646178, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00646178
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    References listed on IDEAS

    1. Laurent Ferrara & Dominique Guegan, 2006. "Fractional seasonality: Models and Application to Economic Activity in the Euro Area," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185370, HAL.
    2. Arteche, Josu & Robinson, Peter M., 1998. "Seasonal and cyclical long memory," LSE Research Online Documents on Economics 2241, London School of Economics and Political Science, LSE Library.
    3. Arteche, Josu & Robinson, Peter M., 1998. "Semiparametric inference in seasonal and cyclical long memory processes," LSE Research Online Documents on Economics 2203, London School of Economics and Political Science, LSE Library.
    4. Guglielmo Maria Caporale & Luis Gil-Alana, 2006. "Long memory at the long-run and the seasonal monthly frequencies in the US money stock," Applied Economics Letters, Taylor & Francis Journals, vol. 13(15), pages 965-968.
    5. Ferrara, Laurent & Guegan, Dominique, 2001. "Forecasting with k-Factor Gegenbauer Processes: Theory and Applications," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(8), pages 581-601, December.
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