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푸리에 SARIMA 모형×푸리에 ARDL 경계 검정×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19942001-2021
창시자Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
유형Seasonal time series model with trigonometric regressorsCointegration / bounds test
원전Harvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗Nazlioglu, S., Gormus, A., & Soytas, U. (2021). Oil prices and monetary policy in emerging markets: structural breaks, asymmetries, and Fourier approximations. Energy Economics, 95, 105119. link ↗
별칭Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAFourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test
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.The Fourier ARDL bounds test augments the Pesaran-Shin-Smith cointegration framework with trigonometric (Fourier) terms that capture gradual, smooth structural breaks in the data-generating process. It tests for a long-run level relationship between variables without requiring the researcher to specify the number, timing, or form of structural breaks in advance.
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