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Extending the state-space representation of the judgement-augmented Hodrick-Prescott filter

Author

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  • Kristian Jönsson

    (National Institute of Economic Research)

Abstract

Introducing judgement, or restrictions, in the analytical form of the Hodrick-Prescott (HP) filter involves setting a parameter for how tightly the restrictions should hold. The current paper suggests an interpretation of this parameter and suggests a way to extend the state-space form of the judgement-augmented filter to include a corresponding parameter. The paper thereby bridges the remaining gap between the analytical form and the state-space form of the restricted HP filter.

Suggested Citation

  • Kristian Jönsson, 2018. "Extending the state-space representation of the judgement-augmented Hodrick-Prescott filter," Economics Bulletin, AccessEcon, vol. 38(1), pages 623-628.
    • Handle: RePEc:ebl:ecbull:eb-17-00650
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    References listed on IDEAS

    as
    1. Grant, Angelia L. & Chan, Joshua C.C., 2017. "Reconciling output gaps: Unobserved components model and Hodrick–Prescott filter," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 114-121.
    2. Morten O. Ravn & Harald Uhlig, 2002. "On adjusting the Hodrick-Prescott filter for the frequency of observations," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 371-375.
    3. Gomez, Victor, 1999. "Three Equivalent Methods for Filtering Finite Nonstationary Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 109-116, January.
    4. Kristian Jönsson, 2010. "Trend extraction with a judgement-augmented hodrick–prescott filter," Empirical Economics, Springer, vol. 39(3), pages 703-711, December.
    5. Julio Roman, Juan Manuel, 2011. "The Hodrick-Prescott filter with priors: linear restrictions on HP filters," MPRA Paper 34202, University Library of Munich, Germany.
    6. James D. Hamilton, 2017. "Why You Should Never Use the Hodrick-Prescott Filter," NBER Working Papers 23429, National Bureau of Economic Research, Inc.
    7. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-247, July-Sept.
    8. Kristian Jönsson, 2017. "Restricted Hodrick–Prescott filtering in a state-space framework," Empirical Economics, Springer, vol. 53(3), pages 1243-1251, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    HP-filter; Trend/cycle decomposition; Output gap; Judgement; State-space models;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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