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Robust and Powerful Tests for Nonlinear Deterministic Components

Author

Listed:
  • Sam Astill
  • David I. Harvey
  • Stephen J. Leybourne
  • A. M. Robert Taylor

Abstract

type="main" xml:id="obes12079-abs-0001"> We develop a test for the presence of nonlinear deterministic components in a univariate time series, approximated using a Fourier series expansion, designed to be asymptotically robust to the order of integration of the process and to any weak dependence present. We show that our proposed test has uniformly greater local asymptotic power than the existing tests of Harvey, Leybourne and Xiao (2010) when the shocks are I(1), identical local asymptotic power when the shocks are I(0), and also improved finite sample properties. We also consider the issue of determining the number of Fourier frequencies used to specify any nonlinear deterministic components.

Suggested Citation

  • Sam Astill & David I. Harvey & Stephen J. Leybourne & A. M. Robert Taylor, 2015. "Robust and Powerful Tests for Nonlinear Deterministic Components," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 77(6), pages 780-799, December.
    • Handle: RePEc:bla:obuest:v:77:y:2015:i:6:p:780-799
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    File URL: http://hdl.handle.net/10.1111/obes.2015.77.issue-6
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    Cited by:

    1. Winkelried, Diego, 2018. "Unit roots, flexible trends, and the Prebisch-Singer hypothesis," Journal of Development Economics, Elsevier, vol. 132(C), pages 1-17.
    2. Enders Walter & Jones Paul, 2016. "Grain prices, oil prices, and multiple smooth breaks in a VAR," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(4), pages 399-419, September.
    3. Pierre Perron & Mototsugu Shintaniz & Tomoyoshi Yabu, 2020. "Trigonometric Trend Regressions of Unknown Frequencies with Stationary or Integrated Noise," Boston University - Department of Economics - Working Papers Series WP2020-012, Boston University - Department of Economics.
    4. Pierre Perron & Mototsugu Shintani & Tomoyoshi Yabu, 2017. "Testing for Flexible Nonlinear Trends with an Integrated or Stationary Noise Component," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(5), pages 822-850, October.
    5. Atanu Ghoshray & Madhavi Pundit, 2021. "Economic growth in China and its impact on international commodity prices," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 2776-2789, April.
    6. Takamitsu Kurita & Mototsugu Shintani, 2023. "Johansen Test with Fourier-Type Smooth Nonlinear Trends in Cointegrating Relations," CIRJE F-Series CIRJE-F-1216, CIRJE, Faculty of Economics, University of Tokyo.

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