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Granska de valda metoderna sida vid sida; rader som skiljer sig är markerade.
| Fourier SARIMA-modell× | ARIMA-modell (Autoregressiv Integrerad Glidande Medelvärdesmodell)× | |
|---|---|---|
| Ämnesområde | Ekonometri | Ekonometri |
| Familj | Regression model | Regression model |
| Ursprungsår≠ | 1994 | 1970 |
| Upphovsperson≠ | Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization) | George Box and Gwilym Jenkins |
| Typ≠ | Seasonal time series model with trigonometric regressors | Time series forecasting model |
| Ursprungskälla≠ | 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. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| Alias | Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMA | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) |
| Närliggande | 6 | 6 |
| Sammanfattning≠ | 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 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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