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The Extended Hodrick-Prescott (HP) Filter for Spatial Regression Smoothing

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  • Wolfgang Polasek

    (Institute for Advanced Studies, Vienna, Austria; University of Porto, Porto, Portugal)

Abstract

The Hodrick-Prescott (HP) method is a popular smoothing method for economic time series to get a long-term component of stationary series like growth rates. The new extended HP smoothing model is applied to data-sets with an underlying metric and requires a Bayesian linear regression model with a strong prior based on differencing matrices for the smoothness parameter and a weak prior for the regression part. We define a Bayesian spatial smoothing model with neighbors for each observation and we define a smoothness prior similar to the HP filter in time series. This opens a new approach to model-based smoothers for time series and spatial models based on MCMC. We apply it to the NUTS-2 regions of the European Union for regional GDP and GDP per capita, where the fixed effects are removed by an extended HP smoothing model.

Suggested Citation

  • Wolfgang Polasek, 2011. "The Extended Hodrick-Prescott (HP) Filter for Spatial Regression Smoothing," Working Paper series 45_11, Rimini Centre for Economic Analysis.
    • Handle: RePEc:rim:rimwps:45_11
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    References listed on IDEAS

    as
    1. Wolfgang Polasek & Richard Sellner, 2013. "The Does Globalization Affect Regional Growth? Evidence for NUTS-2 Regions in EU-27," DANUBE: Law and Economics Review, European Association Comenius - EACO, issue 1, pages 23-65, March.
    2. Uhlig, H.F.H.V.S. & Ravn, M., 1997. "On Adjusting the H-P Filter for the Frequency of Observations," Discussion Paper 1997-50, Tilburg University, Center for Economic Research.
    3. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    4. Wolfgang Polasek, 2012. "MCMC Estimation of Extended Hodrick-Prescott (HP) Filtering Models," DANUBE: Law and Economics Review, European Association Comenius - EACO, issue 1, pages 25-52, March.
    5. Wolfgang Polasek, 2011. "The Extended Hodrick-Prescott (HP) Filter for Spatial Regression Smoothing," Working Paper series 45_11, Rimini Centre for Economic Analysis.
    6. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
    7. Finn E. Kydland & Edward C. Prescott, 1990. "Business cycles: real facts and a monetary myth," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 14(Spr), pages 3-18.
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    1. Wolfgang Polasek, 2011. "The Extended Hodrick-Prescott (HP) Filter for Spatial Regression Smoothing," Working Paper series 45_11, Rimini Centre for Economic Analysis.

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    More about this item

    Keywords

    Hodrick-Prescott (HP) smoothers; smoothed square loss function; spatial smoothing; smoothness prior; Bayesian econometrics;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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