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| OLS con Fourier (Minimi Quadrati Ordinari Aumentati con Fourier)× | Test dei residui ARDL di Fourier× | |
|---|---|---|
| Campo | Econometria | Econometria |
| Famiglia | Regression model | Regression model |
| Anno di origine≠ | 2004 | 2001-2021 |
| Ideatore≠ | Becker, Enders, and Hurn | Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors |
| Tipo≠ | Augmented linear regression | Cointegration / bounds test |
| Fonte seminale≠ | Becker, R., Enders, W., & Hurn, S. (2004). A general test for time dependence in parameters. Journal of Applied Econometrics, 19(7), 899–906. DOI ↗ | Nazlioglu, S., Gormus, A., & Soytas, U. (2021). Oil prices and monetary policy in emerging markets: structural breaks, asymmetries, and Fourier approximations. Energy Economics, 95, 105119. link ↗ |
| Alias | Fourier OLS, Fourier-augmented OLS, trigonometric OLS, smooth structural break OLS | Fourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test |
| Correlati≠ | 6 | 5 |
| Sintesi≠ | Fourier OLS is an OLS regression extended by adding low-frequency trigonometric (sine and cosine) terms to the regressor matrix. These Fourier components approximate smooth, gradual structural changes in the regression relationship over time without requiring knowledge of the number, timing, or form of the breaks. | The Fourier ARDL bounds test augments the Pesaran-Shin-Smith cointegration framework with trigonometric (Fourier) terms that capture gradual, smooth structural breaks in the data-generating process. It tests for a long-run level relationship between variables without requiring the researcher to specify the number, timing, or form of structural breaks in advance. |
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