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| Robustes ARIMA-Modell× | Zustandsraummodell (Kalman-Filter)× | |
|---|---|---|
| Fachgebiet | Ökonometrie | Ökonometrie |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1986–1993 | 1990 |
| Urheber≠ | Tsay (1986); Chen & Liu (1993) | Harvey; Durbin & Koopman (state space treatment); Kalman filter |
| Typ≠ | Robust time series model | State space time series model |
| Wegweisende Quelle≠ | Tsay, R. S. (1986). Time series model specification in the presence of outliers. Journal of the American Statistical Association, 81(393), 132–141. DOI ↗ | Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗ |
| Aliasnamen | robust ARIMA, outlier-resistant ARIMA, robust time series estimation, ARIMA with outlier detection | state space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter) |
| Verwandt | 4 | 4 |
| Zusammenfassung≠ | Robust ARIMA extends the classical ARIMA framework to detect and correct the influence of outliers and structural breaks during estimation. By jointly identifying anomalous observations and re-estimating model parameters, it produces coefficient estimates and forecasts that are far less distorted by isolated shocks or data errors than standard ARIMA. | 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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