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Modello ARIMA di Fourier×Modello SARIMA×
CampoEconometriaEconometria
FamigliaRegression modelRegression model
Anno di origine2004-20121970 (first edition); 1976 (revised)
IdeatoreBecker, Enders, and Hurn; further extended by Enders and LeeBox, Jenkins, and Reinsel
TipoTime series modelSeasonal time series model
Fonte seminaleEnders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
AliasFourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMASARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
Correlati25
SintesiThe 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.SARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.
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ScholarGateConfronta i metodi: Fourier ARIMA model · SARIMA model. Consultato il 2026-06-17 da https://scholargate.app/it/compare