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傅里叶自回归积分滑动平均模型×自回归积分滑动平均模型 (ARIMA)×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份2004-20121970
提出者Becker, Enders, and Hurn; further extended by Enders and LeeGeorge Box and Gwilym Jenkins
类型Time series modelTime series forecasting model
开创性文献Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
别名Fourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
相关26
摘要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.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
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  1. v1
  2. 2 来源
  3. PUBLISHED

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