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푸리에 SARIMA 모형×SARIMA 모형×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19941970 (first edition); 1976 (revised)
창시자Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Box, Jenkins, and Reinsel
유형Seasonal time series model with trigonometric regressorsSeasonal time series model
원전Harvey, 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
별칭Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMASARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
관련65
요약The 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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