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Band Spectrum Regressions using Wavelet Analysis




In economics it is common to distinguish between different time horizons (i.e. short run, medium run, and long run). Engle (1974) proposed combining the discrete Fourier transform with a band spectrum regression to estimate models that separates between different time horizons. In this paper we discuss possibilities and challenges using the maximal overlap discrete wavelet transform instead of the Fourier transform when estimating band spectrum regressions.

Suggested Citation

  • Andersson, Fredrik N. G., 2011. "Band Spectrum Regressions using Wavelet Analysis," Working Papers 2011:22, Lund University, Department of Economics.
  • Handle: RePEc:hhs:lunewp:2011_022

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    References listed on IDEAS

    1. Englund, Peter & Persson, Torsten & Svensson, Lars E. O., 1992. "Swedish business cycles: 1861-1988," Journal of Monetary Economics, Elsevier, vol. 30(3), pages 343-371, December.
    2. Dean Corbae & Sam Ouliaris & Peter C. B. Phillips, 2002. "Band Spectral Regression with Trending Data," Econometrica, Econometric Society, vol. 70(3), pages 1067-1109, May.
    3. Marvin Goodfriend & Robert King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters,in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296 National Bureau of Economic Research, Inc.
    4. Milton Friedman, 1957. "Introduction to "A Theory of the Consumption Function"," NBER Chapters,in: A Theory of the Consumption Function, pages 1-6 National Bureau of Economic Research, Inc.
    5. Ramsey, James B. & Lampart, Camille, 1998. "Decomposition Of Economic Relationships By Timescale Using Wavelets," Macroeconomic Dynamics, Cambridge University Press, vol. 2(01), pages 49-71, March.
    6. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists ," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    7. Milton Friedman & Simon Kuznets, 1954. "The Data on Income from Independent Professional Practice," NBER Chapters,in: Income from Independent Professional Practice, pages 46-62 National Bureau of Economic Research, Inc.
    8. Nazrul Islam, 2003. "What have We Learnt from the Convergence Debate?," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 309-362, July.
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    Cited by:

    1. Andersson, Fredrik N.G. & Edgerton, David L. & Opper, Sonja, 2013. "A Matter of Time: Revisiting Growth Convergence in China," World Development, Elsevier, vol. 45(C), pages 239-251.
    2. Andersson, Fredrik N.G. & Karpestam, Peter, 2013. "CO2 emissions and economic activity: Short- and long-run economic determinants of scale, energy intensity and carbon intensity," Energy Policy, Elsevier, vol. 61(C), pages 1285-1294.
    3. Andersson , Fredrik N. G. & Ljungberg, Jonas, 2014. "Grain Market Integration in the Baltic Sea Region in the 19th Century," Working Papers 2014:3, Lund University, Department of Economics.

    More about this item


    band spectrum regression; wavelet transform; frequency domain; economic modeling;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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