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SARIMA (Seasonal ARIMA)×ETS: Eksponentiel udjævning med fejl, trend og sæsonudsving×Holt-Winters tredobbelt eksponentiel udjævning×
FagområdeØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression model
Oprindelsesår201520081960
OphavspersonBox & Jenkins (seasonal extension of ARIMA)Hyndman, Koehler, Ord & Snyder (state space framework)Charles C. Holt and Peter R. Winters
TypeSeasonal time-series modelExponential smoothing state space modelExponential smoothing forecasting model
Oprindelig kildeBox, 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 ↗
Aliasserseasonal ARIMA, Box-Jenkins seasonal model, SARIMA — Mevsimsel ARIMAexponential 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
Relaterede554
ResuméSARIMA is a seasonal extension of the Box-Jenkins ARIMA model that adds seasonal differencing and seasonal autoregressive and moving-average terms. Developed within the Box, Jenkins, Reinsel and Ljung framework (5th edition, 2015), it forecasts series whose pattern repeats on a yearly, monthly, or weekly period.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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ScholarGateSammenlign metoder: SARIMA · ETS Model · Holt-Winters. Hentet 2026-06-18 fra https://scholargate.app/da/compare