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| 状態空間モデル(カルマンフィルタ)× | マルコフ体制スイッチングモデル (MS-AR / MS-VAR)× | |
|---|---|---|
| 分野 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1990 | 1989 |
| 提唱者≠ | Harvey; Durbin & Koopman (state space treatment); Kalman filter | Hamilton (1989); Kim & Nelson (1999) |
| 種類≠ | State space time series model | Regime-switching time series model |
| 原典≠ | Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗ | Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357-384. DOI ↗ |
| 別名≠ | state space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter) | regime-switching model, Markov-switching autoregression, MS-AR, MS-VAR |
| 関連≠ | 4 | 5 |
| 概要≠ | 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. | The Markov regime-switching model lets the parameters of a time series change probabilistically across hidden regimes governed by a Markov chain. Introduced by Hamilton (1989) and developed further by Kim and Nelson (1999), it automatically detects business-cycle phases such as expansions and contractions. |
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