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SARIMAX×상태 공간 모형 (칼만 필터)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도20151990
창시자Box & Jenkins (ARIMA framework); SARIMAX extension with exogenous regressorsHarvey; Durbin & Koopman (state space treatment); Kalman filter
유형Seasonal time-series regression modelState space time series model
원전Hyndman, R. J. & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗
별칭seasonal ARIMA with exogenous variables, SARIMA with regressors, ARIMAX, SARIMAX — Dışsal Değişkenli Mevsimsel ARIMAstate space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter)
관련44
요약SARIMAX 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.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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