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An intuitive guide to wavelets for economists

  • Crowley, Patrick


    (College of Business, Texas A&M University)

Wavelet analysis, although used extensively in disciplines such as signal processing, engineering, medical sciences, physics and astronomy, has not yet fully entered the economics discipline. In this discussion paper, wavelet analysis is introduced in an intuitive manner, and the existing economics and finance literature that utilises wavelets is explored. Extensive examples of exploratory wavelet analysis are given, many using Canadian, US and Finnish industrial production data. Finally, potential future applications for wavelet analysis in economics are also discussed and explored.

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Paper provided by Bank of Finland in its series Research Discussion Papers with number 1/2005.

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Length: 71 pages
Date of creation: 01 Jan 2005
Date of revision:
Publication status: Published as Crowley, Patrick, 'An intuitive guide to wavelets for economists' in Journal of Economic Surveys, 2007, pages 207-267.
Handle: RePEc:hhs:bofrdp:2005_001
Note: Revised version published in Journal of Economic Surveys, 2007.
Contact details of provider: Postal: Bank of Finland, P.O. Box 160, FI-00101 Helsinki, Finland
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  1. Viviana Fernandez, 2004. "Time-Scale Decomposition of Price Transmission in International Markets," Documentos de Trabajo 189, Centro de Economía Aplicada, Universidad de Chile.
  2. Andrew Hughes Hallett, Christian R Richter, 2001. "Spectral Analysis as a Tool for Financial Policy: An Analysis of the Short-End of the British Term Structure," Computing in Economics and Finance 2001 127, Society for Computational Economics.
  3. 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.
  4. Neumann, Manfred J. M. & Greiber, Claus, 2004. "Inflation and core money growth in the euro area," Discussion Paper Series 1: Economic Studies 2004,36, Deutsche Bundesbank, Research Centre.
  5. Collard, Fabrice, 1998. "Spectral and persistence properties of cyclical growth," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 463-488, November.
  6. Ramsey James B. & Lampart Camille, 1998. "The Decomposition of Economic Relationships by Time Scale Using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(1), pages 1-22, April.
  7. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
  8. repec:ebl:ecbull:v:3:y:2004:i:44:p:1-14 is not listed on IDEAS
  9. Jensen, Mark J, 1999. "Using wavelets to obtain a consistent ordinary least squares estimator of the long-memory parameter," MPRA Paper 39152, University Library of Munich, Germany.
  10. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
  11. Mark J. Jensen, 1997. "An Alternative Maximum Likelihood Estimator of Long-Memeory Processes Using Compactly Supported Wavelets," Econometrics 9709002, EconWPA.
  12. Hahn Shik Lee, 2004. "International transmission of stock market movements: a wavelet analysis," Applied Economics Letters, Taylor & Francis Journals, vol. 11(3), pages 197-201.
  13. Paul Conway & David Frame, 2000. "A spectral analysis of New Zealand output gaps using Fourier and wavelet techniques," Reserve Bank of New Zealand Discussion Paper Series DP2000/06, Reserve Bank of New Zealand.
  14. Enrico Capobianco, 2004. "Multiscale Analysis of Stock Index Return Volatility," Computational Economics, Society for Computational Economics, vol. 23(3), pages 219-237, 04.
  15. Camba-Méndez, Gonzalo & Kapetanios, George, 2001. "Spectral based methods to identify common trends and common cycles," Working Paper Series 0062, European Central Bank.
  16. Mehmet Dalkir, 2004. "A new approach to causality in the frequency domain," Economics Bulletin, AccessEcon, vol. 3(44), pages 1-14.
  17. Ramsey, J.B., 2002. "Wavelets in Economics and Finance: Past and Future," Working Papers 02-02, C.V. Starr Center for Applied Economics, New York University.
  18. Kim Sangbae & In Francis Haeuck, 2003. "The Relationship Between Financial Variables and Real Economic Activity: Evidence From Spectral and Wavelet Analyses," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(4), pages 1-18, December.
  19. Ramsey, James B. & Zhang, Zhifeng, 1995. "The Analysis of Foreign Exchange Data Using Waveform Dictionaries," Working Papers 95-03, C.V. Starr Center for Applied Economics, New York University.
  20. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Working Papers 02-3, Bank of Canada.
  21. Tkacz Greg, 2001. "Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-15, April.
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