مقایسهٔ روشها
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| مدل خودبازگشتی فوریه (Fourier AR Model)× | مدل ARMA (میانگین متحرک خودرگرسیو)× | |
|---|---|---|
| حوزه | اقتصادسنجی | اقتصادسنجی |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 2012 | 1970 |
| پدیدآور≠ | Enders & Lee | George E. P. Box and Gwilym M. Jenkins |
| نوع≠ | Time series model with Fourier augmentation | Time series model |
| منبع بنیادین≠ | Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. DOI ↗ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| نامهای دیگر | Fourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR model | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) |
| مرتبط≠ | 6 | 5 |
| خلاصه≠ | The Fourier AR model extends the standard autoregressive specification by adding trigonometric (sine and cosine) terms to the deterministic component. This allows the model to capture smooth, gradual shifts in the mean or trend of a time series without requiring the researcher to locate or count structural break points explicitly. | The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting. |
| ScholarGateمجموعهداده ↗ |
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