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Fourier SARIMA mudel×Fourier ARDL piirväärtuste test×
ValdkondÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta19942001-2021
LoojaHarvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
TüüpSeasonal time series model with trigonometric regressorsCointegration / bounds test
AlgallikasHarvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗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 ↗
RööpnimetusedFourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAFourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test
Seotud65
KokkuvõteThe Fourier SARIMA model extends the classical Seasonal ARIMA framework by incorporating trigonometric (Fourier) terms as deterministic regressors. This allows the model to approximate smooth, complex, or multiple-frequency seasonal patterns without requiring a full seasonal ARIMA structure for every frequency, making it particularly useful for high-frequency data or series with non-integer or evolving seasonality.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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ScholarGateVõrdle meetodeid: Fourier SARIMA model · Fourier ARDL Bounds Test. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare