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Modelo SARIMA de Fourier×Modelo SARIMA×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem19941970 (first edition); 1976 (revised)
Autor originalHarvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Box, Jenkins, and Reinsel
TipoSeasonal time series model with trigonometric regressorsSeasonal time series 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., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
Outros nomesFourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMASARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
Relacionados65
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.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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ScholarGateComparar métodos: Fourier SARIMA model · SARIMA model. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare