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Fourier SARIMA-modell×Fourier ARIMA-modell×
FagfeltØkonometriØkonometri
FamilieRegression modelRegression model
Opprinnelsesår19942004-2012
OpphavspersonHarvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Becker, Enders, and Hurn; further extended by Enders and Lee
TypeSeasonal time series model with trigonometric regressorsTime series model
Opprinnelig kildeHarvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗
AliasFourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAFourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
Relaterte62
SammendragThe 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 ARIMA model augments a standard ARIMA specification with trigonometric sine and cosine terms, allowing it to capture smooth, gradual structural change and flexible nonlinear seasonality without specifying the exact timing or number of breaks in advance. It is widely used in applied macroeconometrics and finance for series exhibiting slowly evolving dynamics.
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ScholarGateSammenlign metoder: Fourier SARIMA model · Fourier ARIMA model. Hentet 2026-06-18 fra https://scholargate.app/no/compare