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傅里叶季节性自回归积分移动平均模型 (Fourier SARIMA Model)×傅里叶ARDL边界检验×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份19942001-2021
提出者Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
类型Seasonal time series model with trigonometric regressorsCointegration / bounds test
开创性文献Harvey, 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 ↗
别名Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAFourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test
相关65
摘要The 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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  1. v1
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  3. PUBLISHED

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ScholarGate方法对比: Fourier SARIMA model · Fourier ARDL Bounds Test. 于 2026-06-19 检索自 https://scholargate.app/zh/compare