方法对比
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| 贝叶斯自回归(AR)模型× | 自回归移动平均模型 (ARMA)× | |
|---|---|---|
| 领域 | 计量经济学 | 计量经济学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 1971 | 1970 |
| 提出者≠ | Arnold Zellner; foundational Bayesian time-series work by West & Harrison | George E. P. Box and Gwilym M. Jenkins |
| 类型≠ | Bayesian time-series model | Time series model |
| 开创性文献≠ | Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376 | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| 别名 | Bayesian autoregressive model, BAR model, Bayesian AR, Bayesian time-series autoregression | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) |
| 相关≠ | 6 | 5 |
| 摘要≠ | The Bayesian AR model estimates an autoregressive time-series process by combining a likelihood derived from the AR structure with prior distributions over the lag coefficients and error variance. Rather than producing single point estimates, it yields full posterior distributions, enabling principled uncertainty quantification and probabilistic forecasting. | The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting. |
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