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SARIMAX×Penghalusan Eksponensial Tiga Kali Lipat Holt-Winters×Model Ruang Keadaan (Kalman Filter)×
BidangEkonometrikaEkonometrikaEkonometrika
KeluargaRegression modelRegression modelRegression model
Tahun asal201519601990
PencetusBox & Jenkins (ARIMA framework); SARIMAX extension with exogenous regressorsCharles C. Holt and Peter R. WintersHarvey; Durbin & Koopman (state space treatment); Kalman filter
TipeSeasonal time-series regression modelExponential smoothing forecasting modelState space time series model
Sumber perintisHyndman, R. J. & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗Winters, P. R. (1960). Forecasting Sales by Exponentially Weighted Moving Averages. Management Science, 6(3), 324-342. DOI ↗Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗
Aliasseasonal ARIMA with exogenous variables, SARIMA with regressors, ARIMAX, SARIMAX — Dışsal Değişkenli Mevsimsel ARIMAtriple exponential smoothing, Winters' method, Holt-Winters seasonal method, Holt-Winters Üçlü Üstel Düzleştirmestate space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter)
Terkait444
RingkasanSARIMAX 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.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.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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ScholarGateBandingkan metode: SARIMAX · Holt-Winters · State Space Model. Diakses 2026-06-19 dari https://scholargate.app/id/compare