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ARIMA-malli (Autoregressiivinen integroitu liukuva keskiarvo)×Fourier ARIMA -malli×
TieteenalaEkonometriaEkonometria
MenetelmäperheRegression modelRegression model
Syntyvuosi19702004-2012
KehittäjäGeorge Box and Gwilym JenkinsBecker, Enders, and Hurn; further extended by Enders and Lee
TyyppiTime series forecasting modelTime series model
AlkuperäislähdeBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗
RinnakkaisnimetARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Fourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
Liittyvät62
TiivistelmäThe 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.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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ScholarGateVertaile menetelmiä: ARIMA model · Fourier ARIMA model. Haettu 2026-06-19 osoitteesta https://scholargate.app/fi/compare