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| ETS: Penghalusan Eksponen Ralat, Tren, Bermusim× | Penghalusan Eksponensial Tiga Holt-Winters× | SARIMAX× | |
|---|---|---|---|
| Bidang | Ekonometrik | Ekonometrik | Ekonometrik |
| Keluarga | Regression model | Regression model | Regression model |
| Tahun asal≠ | 2008 | 1960 | 2015 |
| Pengasas≠ | Hyndman, Koehler, Ord & Snyder (state space framework) | Charles C. Holt and Peter R. Winters | Box & Jenkins (ARIMA framework); SARIMAX extension with exogenous regressors |
| Jenis≠ | Exponential smoothing state space model | Exponential smoothing forecasting model | Seasonal time-series regression model |
| Sumber perintis≠ | Hyndman, R. J., Koehler, A. B., Ord, J. K. & Snyder, R. D. (2008). Forecasting with Exponential Smoothing: The State Space Approach. Springer. DOI ↗ | Winters, P. R. (1960). Forecasting Sales by Exponentially Weighted Moving Averages. Management Science, 6(3), 324-342. DOI ↗ | Hyndman, R. J. & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗ |
| Alias | exponential smoothing state space model, innovations state space model, Holt-Winters family, ETS — Hata/Trend/Mevsimsellik Üstel Düzleştirme | triple exponential smoothing, Winters' method, Holt-Winters seasonal method, Holt-Winters Üçlü Üstel Düzleştirme | seasonal ARIMA with exogenous variables, SARIMA with regressors, ARIMAX, SARIMAX — Dışsal Değişkenli Mevsimsel ARIMA |
| Berkaitan≠ | 5 | 4 | 4 |
| Ringkasan≠ | ETS is a comprehensive exponential smoothing framework that automatically selects additive or multiplicative combinations of the error (E), trend (T) and seasonal (S) components of a time series. Formalised as an innovations state space model by Hyndman, Koehler, Ord and Snyder in 2008, it unifies and generalises the Holt-Winters family of forecasting methods. | Holt-Winters triple exponential smoothing is a forecasting model that extends Holt's double smoothing by adding a seasonal component, introduced by Peter Winters in 1960 building on Charles Holt's work. It tracks three evolving quantities — level, trend, and season — and combines them to forecast a continuous time series. | SARIMAX extends the seasonal ARIMA (Box-Jenkins) model by adding exogenous explanatory variables, so it can capture the effect of holidays, economic indicators, or policy variables on a time series. It combines non-seasonal and seasonal autoregressive and moving-average dynamics with external regressors, and is estimated by maximum likelihood in state-space form. |
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