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Weaknesses of the Baxter-King Filter: Is a Pattern-Based Filter an Alternative? / Schwächen des Baxter-King Filters: Ist ein musterbasierter Filter eine Alternative?

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  • Goldrian Georg

    (ifo Institut für Wirtschaftsforschung an der Universität München, Poschingerstraße 5, D-81679 München, Germany)

Abstract

The Baxter-King filter shows some weaknesses, particularly with regard to monthly time series. This procedure involves not only a loss of data for the border areas of time series, but suppresses inadequately high frequency components and shows as a low-pass filter only the performance of ordinary moving averages. Another important finding is that the maximal lag Κ not only determines the degree of approximation to an ideal filter, as Baxter and King argue, but also the ability to extract a slow moving component. A pattern-based filter, whose weights are generated by a trigonometric function as well, does not possess such weaknesses, and is thus a real alternative to the Baxter-King filter.

Suggested Citation

  • Goldrian Georg, 2005. "Weaknesses of the Baxter-King Filter: Is a Pattern-Based Filter an Alternative? / Schwächen des Baxter-King Filters: Ist ein musterbasierter Filter eine Alternative?," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 225(4), pages 386-393, August.
  • Handle: RePEc:jns:jbstat:v:225:y:2005:i:4:p:386-393
    DOI: 10.1515/jbnst-2005-0402
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    References listed on IDEAS

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    1. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
    2. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    3. Goldrian Georg & Lehne Birgit, 1999. "Zur Approximation der Trend-Zyklus-Komponente am aktuellen Rand einer Zeitreihe / A new Approach to Approximate the Trend-Cyclical-Component at the Current End of a Time Series," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 219(3-4), pages 344-356, June.
    4. Ulrich Woitek, 1998. "A Note on the Baxter-King Filter," Working Papers 9813, Business School - Economics, University of Glasgow.
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