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傅里叶季节性自回归积分移动平均模型 (Fourier SARIMA Model)×傅里叶自回归积分滑动平均模型×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份19942004-2012
提出者Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Becker, Enders, and Hurn; further extended by Enders and Lee
类型Seasonal time series model with trigonometric regressorsTime series model
开创性文献Harvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗
别名Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAFourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
相关62
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 ARIMA model augments a standard ARIMA specification with trigonometric sine and cosine terms, allowing it to capture smooth, gradual structural change and flexible nonlinear seasonality without specifying the exact timing or number of breaks in advance. It is widely used in applied macroeconometrics and finance for series exhibiting slowly evolving dynamics.
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  3. PUBLISHED

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ScholarGate方法对比: Fourier SARIMA model · Fourier ARIMA model. 于 2026-06-18 检索自 https://scholargate.app/zh/compare