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An Introduction to Wavelets for Economists

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Christoph Schleicher

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File URL: http://www.bankofcanada.ca/en/res/wp/2002/wp02-3.pdf
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Paper provided by Bank of Canada in its series Working Papers with number 02-3.

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Length: 41 pages Abstract: Wavelets are mathematical expansions that transform data from the time domain into different layers of frequency levels. Compared to standard Fourier analysis, they have the advantage of being localized both in time and in the frequency domain, and enable the researcher to observe and analyze data at different scales. While their theoretical foundations were completed by the late 1980s, the 1990s saw a rapid spread to a wide range of applied sciences. A number of successful applications indicate that wavelets are on the verge of entering mainstream econometrics. This paper gives an informal and non-technical introduction to wavelets, and describes their potential for the economic researcher.
Date of creation: 2002
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Handle: RePEc:bca:bocawp:02-3

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Keywords: Econometric and statistical methods;

Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!]
  2. Nason, G.P. & von Sachs, R., 1999. "Wavelets in Time Series Analysis," Papers 9901, Catholique de Louvain - Institut de statistique.
  3. Davidson, Russell & Labys, Walter C & Lesourd, Jean-Baptiste, 1998. "Wavelet Analysis of Commodity Price Behavior," Computational Economics, Springer, vol. 11(1-2), pages 103-28, April. [Downloadable!]
    Other versions:
  4. Mark J. Jensen, 1997. "Using Wavelets to Obtain a Consistent Ordinary Least Squares Estimator of the Long Memory Parameter," Econometrics 9710002, EconWPA. [Downloadable!]
  5. 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. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Luca De Benedictis & Marco Gallegati, 2005. "Trade balance and terms of trade in U.S.: a time-scale decomposition analysis," International Trade 0512016, EconWPA. [Downloadable!]
  2. Gabor Vadas & Zsolt Darvas, 2005. "Univariate Potential Output Estimations for Hungary," Macroeconomics 0512009, EconWPA. [Downloadable!]
    Other versions:
  3. Vuorenmaa , Tommi, 2005. "A wavelet analysis of scaling laws and long-memory in stock market volatility," Research Discussion Papers 27/2005, Bank of Finland. [Downloadable!]
  4. Crowley, Patrick, 2005. "An intuitive guide to wavelets for economists," Research Discussion Papers 1/2005, Bank of Finland. [Downloadable!]
    Other versions:
  5. Ozun, Alper & Cifter, Atilla, 2007. "Modeling Long-Term Memory Effect in Stock Prices: A Comparative Analysis with GPH Test and Daubechies Wavelets," MPRA Paper 2481, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  6. Cotter, John & Dowd, Kevin, 2006. "U.S. Core Inflation: A Wavelet Analysis," MPRA Paper 3520, University Library of Munich, Germany. [Downloadable!]
  7. Okina, Kunio & Shiratsuka, Shigenori, 2004. "Policy Duration Effect under Zero Interest Rates: An Application of Wavelet Analysis," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  8. Marco Gallegati, 2005. "A Wavelet Analysis of MENA Stock Markets," Finance 0512027, EconWPA. [Downloadable!]
  9. Marco Gallegati, 2005. "Stock market returns and economic activity: evidence from wavelet analysis," Macroeconomics 0512016, EconWPA. [Downloadable!]
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