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Modelo SARIMA de Fourier×Modelo ARIMA (Autoregressive Integrated Moving Average)×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem19941970
Autor originalHarvey & Scott (1994); Hyndman & Athanasopoulos (popularization)George Box and Gwilym Jenkins
TipoSeasonal time series model with trigonometric regressorsTime series forecasting model
Fonte seminalHarvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Outros nomesFourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relacionados66
ResumoThe 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 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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ScholarGateComparar métodos: Fourier SARIMA model · ARIMA model. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare