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Fourierův model SARIMA×Model SARIMA se strukturálními změnami×
OborEkonometrieEkonometrie
RodinaRegression modelRegression model
Rok vzniku19941970s–1998
TvůrceHarvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Box & Jenkins (SARIMA); Bai & Perron (structural break detection)
TypSeasonal time series model with trigonometric regressorsTime series model with regime shifts
Původní zdrojHarvey, 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 ↗
Další názvyFourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMASARIMA with structural breaks, break-augmented SARIMA, piecewise SARIMA, SARIMA-SB
Příbuzné63
ShrnutíThe 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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ScholarGatePorovnat metody: Fourier SARIMA model · Structural Break SARIMA Model. Získáno 2026-06-17 z https://scholargate.app/cs/compare