The flexible Fourier form and Dickey-Fuller type unit root tests

DOI10.1016/j.econlet.2012.04.081zbMath1255.62243OpenAlexW2094257787MaRDI QIDQ1925883

Junsoo Lee, Walter Enders

Publication date: 27 December 2012

Published in: Economics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.econlet.2012.04.081

zbMATH Keywords

neglected nonlinearityFourier approximation

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Parametric hypothesis testing (62F03)

Related Items (14)

On the Use of the Flexible Fourier Form in Unit Root Tests, Endogenous Breaks, and Parameter Instability ⋮ Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19 ⋮ A new nonlinear unit root test with Fourier function ⋮ Smooth structural changes and common factors in nonstationary panel data: an analysis of healthcare expenditures^† ⋮ Johansen‐type cointegration tests with a Fourier function ⋮ Grain prices, oil prices, and multiple smooth breaks in a VAR ⋮ A parametric stationarity test with smooth breaks ⋮ Alternative unit root testing strategies using the Fourier approximation ⋮ Fractional frequency flexible Fourier form to approximate smooth breaks in unit root testing ⋮ Behavior of the standard Dickey-Fuller test when there is a Fourier-form break under the null hypothesis ⋮ Threshold model with a time‐varying threshold based on Fourier approximation ⋮ Testing for strict stationarity in a random coefficient autoregressive model ⋮ Testing fractional unit roots with non-linear smooth break approximations using Fourier functions ⋮ On the performance of the variance ratio unit root tests with flexible Fourier form

Cites Work

• On the bias in flexible functional forms and an essentially unbiased form. The Fourier flexible form
• Testing for a unit root in the nonlinear STAR framework
• A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks
• Unit roots and smooth transitions
• The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis

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