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| Modèle ARMA bayésien× | Modèle ARIMA (Modèle Autorégressif Intégré à Moyenne Mobile)× | |
|---|---|---|
| Domaine | Économétrie | Économétrie |
| Famille | Regression model | Regression model |
| Année d'origine≠ | 1970s–1980s | 1970 |
| Auteur d'origine≠ | Box & Jenkins (classical ARMA); Bayesian treatment developed through work of Zellner, Geweke, and others in 1970s–1980s | George Box and Gwilym Jenkins |
| Type≠ | Bayesian time series model | Time series forecasting model |
| Source fondatrice≠ | Geweke, J., & Meese, R. (1981). Estimating regression models of finite but unknown order. International Economic Review, 22(1), 55–70. link ↗ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| Alias | Bayesian ARMA, B-ARMA, Bayesian autoregressive moving average, ARMA with Bayesian inference | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) |
| Apparentées | 6 | 6 |
| Résumé≠ | The Bayesian ARMA model applies Bayesian inference to the classical autoregressive moving average framework for stationary univariate time series. Rather than producing single point estimates for the AR and MA parameters, it yields full posterior distributions, naturally incorporating prior knowledge and providing coherent uncertainty quantification over forecasts and impulse responses. | The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics. |
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