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| ETS: 誤差、トレンド、季節指数平滑法× | Holt-Winters三重指数平滑法× | 最小二乗法 (OLS) 回帰× | 状態空間モデル(カルマンフィルタ)× | |
|---|---|---|---|---|
| 分野 | 計量経済学 | 計量経済学 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model | Regression model | Regression model |
| 提唱年≠ | 2008 | 1960 | 2019 | 1990 |
| 提唱者≠ | Hyndman, Koehler, Ord & Snyder (state space framework) | Charles C. Holt and Peter R. Winters | Wooldridge (textbook treatment); classical least squares | Harvey; Durbin & Koopman (state space treatment); Kalman filter |
| 種類≠ | Exponential smoothing state space model | Exponential smoothing forecasting model | Linear regression | State space time series model |
| 原典≠ | 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 ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗ |
| 別名 | 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 | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | state space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter) |
| 関連≠ | 5 | 4 | 5 | 4 |
| 概要≠ | 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. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). | A state space model is a general time series framework that describes a series through unobserved (latent) state variables linked by a measurement equation and a transition equation, with the states estimated in real time by the Kalman filter. Developed in the state space tradition of Harvey (1990) and Durbin & Koopman (2012), it nests ARIMA and exponential smoothing as special cases. |
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