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| Modello ARIMA Robusto× | Modello a Spazio di Stati (Filtro di Kalman)× | |
|---|---|---|
| Campo | Econometria | Econometria |
| Famiglia | Regression model | Regression model |
| Anno di origine≠ | 1986–1993 | 1990 |
| Ideatore≠ | Tsay (1986); Chen & Liu (1993) | Harvey; Durbin & Koopman (state space treatment); Kalman filter |
| Tipo≠ | Robust time series model | State space time series model |
| Fonte seminale≠ | 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 ↗ |
| Alias | 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) |
| Correlati | 4 | 4 |
| Sintesi≠ | 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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