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Time-varying cointegration model using wavelets

Author

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  • da Fonseca, Eder Lucio
  • Alencar, Airlane Pereira
  • Morettin, Pedro Alberto

Abstract

This work proposes a wavelet based Vector Error Correction Model with time-varying cointegration. The maximum likelihood estimators and likelihood ratio statistics were evaluated based on Monte Carlo and Bootstrap simulations. The model was used to study the Purchasing Power Parity hypothesis.

Suggested Citation

  • da Fonseca, Eder Lucio & Alencar, Airlane Pereira & Morettin, Pedro Alberto, 2019. "Time-varying cointegration model using wavelets," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 260-267.
    • Handle: RePEc:eee:stapro:v:145:y:2019:i:c:p:260-267
    DOI: 10.1016/j.spl.2018.09.017
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    References listed on IDEAS

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    1. Helmut Lütkepohl, 2005. "New Introduction to Multiple Time Series Analysis," Springer Books, Springer, number 978-3-540-27752-1, September.
    2. Barry Falk & Chun-Hsuan Wang, 2003. "Testing long-run PPP with infinite-variance returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 471-484.
    3. Hansen, Peter Reinhard, 2003. "Structural changes in the cointegrated vector autoregressive model," Journal of Econometrics, Elsevier, vol. 114(2), pages 261-295, June.
    4. Bierens, Herman J. & Martins, Luis F., 2010. "Time-Varying Cointegration," Econometric Theory, Cambridge University Press, vol. 26(5), pages 1453-1490, October.
    5. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    6. Park, Joon Y. & Hahn, Sang B., 1999. "Cointegrating Regressions With Time Varying Coefficients," Econometric Theory, Cambridge University Press, vol. 15(5), pages 664-703, October.
    7. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-228, August.
    8. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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    1. Yoon, Jong Cheol & Min, Dai Hong & Jei, Sang Young, 2020. "Purchasing power parity vs. uncovered interest rate parity for NAFTA countries: The value of incorporating time-varying parameter model," Economic Modelling, Elsevier, vol. 90(C), pages 494-500.

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