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Testing for Time Dependence in Parameters

Author

Listed:
  • Ralf Becker
  • Walter Enders
  • A. Stan Hurn

Abstract

This paper proposes a new test based on a Fourier series expansion to approximate the unknown functional form of a nonlinear time-series model. The test specifically allows for structural breaks, seasonal parameters and time-varying parameters. The test is shown to have evry good size and power properties. However, it is not especially good in detecting nonlinearity in variables. As such, the test can help determine whether an observed rejection of the joint null hypothesis of linearity and time invariant parameters is due to time-varying coefficients of a nonliearity in variables.

Suggested Citation

  • Ralf Becker & Walter Enders & A. Stan Hurn, 2001. "Testing for Time Dependence in Parameters," Research Paper Series 58, Quantitative Finance Research Centre, University of Technology, Sydney.
    • Handle: RePEc:uts:rpaper:58
    as

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    File URL: http://www.qfrc.uts.edu.au/research/research_papers/rp58.pdf
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    References listed on IDEAS

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    Cited by:

    1. Enders, Walter & Holt, Matthew T., 2011. "Breaks, bubbles, booms, and busts: the evolution of primary commodity price fundamentals," MPRA Paper 31461, University Library of Munich, Germany.
    2. Jing Li & Henry Thompson, 2010. "A Note on the Oil Price Trend and GARCH Shocks," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 159-166.
    3. Stengos, Thanasis & Yazgan, M. Ege, 2014. "Persistence In Convergence," Macroeconomic Dynamics, Cambridge University Press, vol. 18(4), pages 753-782, June.
    4. Christopoulos Dimitris K & Leon-Ledesma Miguel A., 2011. "International Output Convergence, Breaks, and Asymmetric Adjustment," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(3), pages 1-33, May.
    5. Stengos Thanasis & Yazgan M. Ege, 2014. "Persistence in real exchange rate convergence," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 18(1), pages 73-88, February.
    6. Christopoulos, Dimitris K. & León-Ledesma, Miguel A., 2010. "Smooth breaks and non-linear mean reversion: Post-Bretton Woods real exchange rates," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1076-1093, October.
    7. Paulo M.M. Rodrigues & A. M. Robert Taylor, 2009. "The Flexible Fourier Form and Local GLS De-trended Unit Root Tests," Working Papers w200919, Banco de Portugal, Economics and Research Department.
    8. Gallegati, Marco & Ramsey, James B., 2013. "Structural change and phase variation: A re-examination of the q-model using wavelet exploratory analysis," Structural Change and Economic Dynamics, Elsevier, vol. 25(C), pages 60-73.
    9. Lee, Chia-Hao & Chou, Pei-I, 2013. "The behavior of real exchange rate: Nonlinearity and breaks," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 125-133.
    10. Razvan Pascalau, 2010. "Unit root tests with smooth breaks: an application to the Nelson-Plosser data set," Applied Economics Letters, Taylor & Francis Journals, vol. 17(6), pages 565-570.

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    More about this item

    Keywords

    time varying parameters; fourier-series; nuisance parameters;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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