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ARIMA (autoregressiivne integreeritud liikuv keskmine) mudel×Holt-Wintersi kolmekordne eksponentsiaalne silumine×Oleku ruum mudel (Kalmani filter)×
ValdkondÖkonomeetriaÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression modelRegression model
Tekkeaasta201519601990
LoojaBox & Jenkins (Box-Jenkins methodology)Charles C. Holt and Peter R. WintersHarvey; Durbin & Koopman (state space treatment); Kalman filter
TüüpUnivariate time-series modelExponential smoothing forecasting modelState space time series model
AlgallikasBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Winters, 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 ↗
RööpnimetusedBox-Jenkins model, ARIMA(p,d,q), ARIMA Modelitriple 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)
Seotud544
KokkuvõteARIMA 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).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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ScholarGateVõrdle meetodeid: ARIMA · Holt-Winters · State Space Model. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare