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Fourier AR -malli×ARIMA-malli (Autoregressiivinen integroitu liukuva keskiarvo)×
TieteenalaEkonometriaEkonometria
MenetelmäperheRegression modelRegression model
Syntyvuosi20121970
KehittäjäEnders & LeeGeorge Box and Gwilym Jenkins
TyyppiTime series model with Fourier augmentationTime series forecasting model
AlkuperäislähdeEnders, 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 ↗
RinnakkaisnimetFourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Liittyvät66
TiivistelmäThe 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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ScholarGateVertaile menetelmiä: Fourier AR Model · ARIMA model. Haettu 2026-06-17 osoitteesta https://scholargate.app/fi/compare