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푸리에 SARIMA 모형×구조적 분절 SARIMA 모형×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19941970s–1998
창시자Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Box & Jenkins (SARIMA); Bai & Perron (structural break detection)
유형Seasonal time series model with trigonometric regressorsTime series model with regime shifts
원전Harvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗Bai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78. DOI ↗
별칭Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMASARIMA with structural breaks, break-augmented SARIMA, piecewise SARIMA, SARIMA-SB
관련63
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.The Structural Break SARIMA model extends the classical Seasonal ARIMA framework by explicitly detecting and accommodating abrupt, permanent shifts in the level, trend, or seasonal pattern of a time series. Rather than forcing a single SARIMA specification across the entire sample, the model partitions the series at estimated breakpoints and fits separate SARIMA processes to each resulting segment, producing more accurate forecasts and reliable inference in the presence of regime changes.
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