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| Model ARIMA de Paràmetres Variables en el Temps (TVP-ARIMA)× | Model d'espai d'estats (Filtre de Kalman)× | |
|---|---|---|
| Camp | Econometria | Econometria |
| Família | Regression model | Regression model |
| Any d'origen≠ | 1976–1989 | 1990 |
| Autor original≠ | Cooley & Prescott (1976); Harvey (1989) state-space formulation | Harvey; Durbin & Koopman (state space treatment); Kalman filter |
| Tipus≠ | Time series model with evolving coefficients | State space time series model |
| Font seminal≠ | Harvey, A. C. (1989). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. ISBN: 9780521405737 | Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗ |
| Àlies | TVP-ARIMA, time-varying ARIMA, adaptive ARIMA, state-space ARIMA | state space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter) |
| Relacionats≠ | 3 | 4 |
| Resum≠ | The time-varying parameter ARIMA model extends the classical ARIMA framework by allowing its autoregressive and moving-average coefficients to evolve over time rather than remaining fixed. Cast in state-space form and estimated via the Kalman filter, it is designed for economic and financial time series whose dynamic structure shifts in response to structural breaks, policy changes, or regime transitions. | 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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