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傅里叶季节性自回归积分移动平均模型 (Fourier SARIMA Model)×SARIMA模型×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份19941970 (first edition); 1976 (revised)
提出者Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Box, Jenkins, and Reinsel
类型Seasonal time series model with trigonometric regressorsSeasonal time 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 ↗Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
别名Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMASARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
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.SARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.
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ScholarGate方法对比: Fourier SARIMA model · SARIMA model. 于 2026-06-18 检索自 https://scholargate.app/zh/compare