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Fourier AR-modell×ARIMA-modell (Autoregressiv Integrert Glidende Gjennomsnitt)×
FagfeltØkonometriØkonometri
FamilieRegression modelRegression model
Opprinnelsesår20121970
OpphavspersonEnders & LeeGeorge Box and Gwilym Jenkins
TypeTime series model with Fourier augmentationTime series forecasting model
Opprinnelig kildeEnders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
AliasFourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relaterte66
SammendragThe Fourier AR model extends the standard autoregressive specification by adding trigonometric (sine and cosine) terms to the deterministic component. This allows the model to capture smooth, gradual shifts in the mean or trend of a time series without requiring the researcher to locate or count structural break points explicitly.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
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  3. PUBLISHED

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ScholarGateSammenlign metoder: Fourier AR Model · ARIMA model. Hentet 2026-06-18 fra https://scholargate.app/no/compare