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ARIMA(自回归积分滑动平均)模型×ETS:误差、趋势、季节性指数平滑×霍尔特-温特斯三指数平滑法×
领域计量经济学计量经济学计量经济学
方法族Regression modelRegression modelRegression model
起源年份201520081960
提出者Box & Jenkins (Box-Jenkins methodology)Hyndman, Koehler, Ord & Snyder (state space framework)Charles C. Holt and Peter R. Winters
类型Univariate time-series modelExponential smoothing state space modelExponential smoothing forecasting model
开创性文献Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Hyndman, 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 ↗
别名Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential smoothing state space model, innovations state space model, Holt-Winters family, ETS — Hata/Trend/Mevsimsellik Üstel Düzleştirmetriple exponential smoothing, Winters' method, Holt-Winters seasonal method, Holt-Winters Üçlü Üstel Düzleştirme
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摘要ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).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.
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ScholarGate方法对比: ARIMA · ETS Model · Holt-Winters. 于 2026-06-18 检索自 https://scholargate.app/zh/compare