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Functional Representation, Approximation, Bases and Wavelets

In: Wavelet Applications in Economics and Finance

Author

Listed:
  • James B. Ramsey

    (New York University)

Abstract

After stressing the importance of analyzing the various basis spaces, the exposition evaluates the alternative bases available to wavelet researchers. The next step is to demonstrate the impact of choice of basis for the representation or projection of the regressand. The similarity of formulating a basis is explored across a variety of alternative representations. This development is followed by a very brief overview of some articles using wavelet tools. The comparative advantage of wavelets relative to the alternatives considered is stressed.

Suggested Citation

  • James B. Ramsey, 2014. "Functional Representation, Approximation, Bases and Wavelets," Dynamic Modeling and Econometrics in Economics and Finance, in: Marco Gallegati & Willi Semmler (ed.), Wavelet Applications in Economics and Finance, edition 127, pages 1-20, Springer.
    • Handle: RePEc:spr:dymchp:978-3-319-07061-2_1
    DOI: 10.1007/978-3-319-07061-2_1
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    Citations

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    Cited by:

    1. Bilgili, Faik & Koçak, Emrah & Kuşkaya, Sevda & Bulut, Ümit, 2020. "Estimation of the co-movements between biofuel production and food prices: A wavelet-based analysis," Energy, Elsevier, vol. 213(C).
    2. Seiler, Volker, 2024. "The relationship between Chinese and FOB prices of rare earth elements – Evidence in the time and frequency domain," The Quarterly Review of Economics and Finance, Elsevier, vol. 95(C), pages 160-179.
    3. Gallegati, Marco & Delli Gatti, Domenico, 2018. "Macrofinancial imbalances in historical perspective: A global crisis index," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 190-205.
    4. Marco Gallegati, 2019. "A system for dating long wave phases in economic development," Journal of Evolutionary Economics, Springer, vol. 29(3), pages 803-822, July.
    5. Shehzad, Khurram & Bilgili, Faik & Zaman, Umer & Kocak, Emrah & Kuskaya, Sevda, 2021. "Is gold favourable than bitcoin during the COVID-19 outbreak? Comparative analysis through wavelet approach," Resources Policy, Elsevier, vol. 73(C).
    6. Bilgili, Faik & Kassouri, Yacouba & Kuşkaya, Sevda & Majok Garang, Aweng Peter, 2024. "The dynamic nexus of oil price fluctuations and banking sector in China: A continuous wavelet analysis," Resources Policy, Elsevier, vol. 88(C).
    7. Marco Gallegati & Mauro Gallegati & James B. Ramsey & Willi Semmler, 2017. "Long waves in prices: new evidence from wavelet analysis," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 11(1), pages 127-151, January.
    8. Habimana, Olivier, 2018. "Asymmetry and Multiscale Dynamics in Macroeconomic Time Series Analysis," MPRA Paper 87823, University Library of Munich, Germany.
    9. Fousekis, Panos & Grigoriadis, Vasilis, 2016. "Spatial price dependence by time scale: Empirical evidence from the international butter markets," Economic Modelling, Elsevier, vol. 54(C), pages 195-204.

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