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ETS: Wykładnicze wygładzanie z uwzględnieniem błędu, trendu i sezonowości×Model ARIMA (Autoregressive Integrated Moving Average)×Wygładzanie wykładnicze proste i podwójne (SES / Holt)×Potrójne wygładzanie wykładnicze Holta-Wintersa×
DziedzinaEkonometriaEkonometriaEkonometriaEkonometria
RodzinaRegression modelRegression modelRegression modelRegression model
Rok powstania2008201519571960
TwórcaHyndman, Koehler, Ord & Snyder (state space framework)Box & Jenkins (Box-Jenkins methodology)Robert G. Brown (SES); Charles C. Holt (linear trend)Charles C. Holt and Peter R. Winters
TypExponential smoothing state space modelUnivariate time-series modelExponential smoothing forecasting modelExponential smoothing forecasting model
Źródło pierwotneHyndman, R. J., Koehler, A. B., Ord, J. K. & Snyder, R. D. (2008). Forecasting with Exponential Smoothing: The State Space Approach. Springer. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Brown, R. G. (1959). Statistical Forecasting for Inventory Control. McGraw-Hill. link ↗Winters, P. R. (1960). Forecasting Sales by Exponentially Weighted Moving Averages. Management Science, 6(3), 324-342. DOI ↗
Inne nazwyexponential smoothing state space model, innovations state space model, Holt-Winters family, ETS — Hata/Trend/Mevsimsellik Üstel DüzleştirmeBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliSES, Holt's linear trend method, exponential smoothing forecasting, Basit ve Çift Üstel Düzleştirme (SES / Holt)triple exponential smoothing, Winters' method, Holt-Winters seasonal method, Holt-Winters Üçlü Üstel Düzleştirme
Pokrewne5534
PodsumowanieETS 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.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).Exponential smoothing is a family of basic time-series forecasting models in which each new observation updates a smoothed estimate by a weighting parameter. Simple exponential smoothing (SES), introduced by Robert G. Brown in 1959, forecasts series with a stable level, while Holt's double exponential smoothing, introduced by Charles C. Holt in 1957, adds a trend term using the parameters alpha and beta.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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