方法对比
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| 傅里叶移动平均 (Fourier MA) 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 model | Regression model |
| 起源年份≠ | 1990s–2000s | 1970 |
| 提出者≠ | Harvey, A. C.; Hyndman, R. J. | George Box and Gwilym Jenkins |
| 类型≠ | Time series model | Time series forecasting model |
| 开创性文献≠ | Hyndman, R. J., & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| 别名 | Fourier MA, Fourier-augmented moving average, trigonometric MA model, harmonic moving average model | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) |
| 相关≠ | 2 | 6 |
| 摘要≠ | The Fourier MA model combines a Moving Average (MA) error structure with Fourier series terms — sine and cosine pairs — to capture complex or high-frequency seasonal patterns in time series data. It is particularly useful when the seasonal period is long or irregular, making classical seasonal ARIMA parameterisation infeasible. | 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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