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An intuitive guide to wavelets for economists

  • Patrick M. Crowley

    (Bank of Finland)

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 EconWPA in its series GE, Growth, Math methods with number 0508009.

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Length: 71 pages
Date of creation: 31 Aug 2005
Date of revision:
Handle: RePEc:wpa:wuwpge:0508009
Note: Type of Document - pdf; pages: 71. Bank of Finland Research Discussion Papers 1/2005
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  1. Mark J. Jensen, 1997. "An Alternative Maximum Likelihood Estimator of Long-Memeory Processes Using Compactly Supported Wavelets," Econometrics 9709002, EconWPA.
  2. Mark J. Jensen, 1997. "Using Wavelets to Obtain a Consistent Ordinary Least Squares Estimator of the Long Memory Parameter," Econometrics 9710002, EconWPA.
  3. 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.
  4. Tkacz, Greg, 2000. "Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator," Staff Working Papers 00-5, Bank of Canada.
  5. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
  6. Andrew Hughes Hallett & Christian R. Richter, 2004. "Spectral Analysis as a Tool for Financial Policy: An Analysis of the Short-End of the British Term Structure," Computational Economics, Society for Computational Economics, vol. 23(3), pages 271-288, 04.
  7. 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.
  8. 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.
  9. Enrico Capobianco, 2004. "Multiscale Analysis of Stock Index Return Volatility," Computational Economics, Society for Computational Economics, vol. 23(3), pages 219-237, 04.
  10. 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.
  11. Mehmet Dalkir, 2004. "A new approach to causality in the frequency domain," Economics Bulletin, AccessEcon, vol. 3(44), pages 1-14.
  12. 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.
  13. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Staff Working Papers 02-3, Bank of Canada.
  14. repec:ebl:ecbull:v:3:y:2004:i:44:p:1-14 is not listed on IDEAS
  15. Viviana Fernandez, 2004. "Time-Scale Decomposition of Price Transmission in International Markets," Documentos de Trabajo 189, Centro de Economía Aplicada, Universidad de Chile.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. Collard, Fabrice, 1998. "Spectral and persistence properties of cyclical growth," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 463-488, November.
  21. Camba-Méndez, Gonzalo & Kapetanios, George, 2001. "Spectral based methods to identify common trends and common cycles," Working Paper Series 0062, European Central Bank.
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