方法对比
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| 非线性自回归移动平均模型 (NARMA)× | 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≠ | 1980s–1990s | 1970 |
| 提出者≠ | Tong (1990); Granger & Terasvirta (1993) | George E. P. Box and Gwilym M. Jenkins |
| 类型≠ | Nonlinear time series model | Time series model |
| 开创性文献≠ | Tong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300 | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| 别名 | NARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving average | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) |
| 相关≠ | 2 | 5 |
| 摘要≠ | The Nonlinear ARMA (NARMA) model extends the classical linear ARMA framework by allowing the conditional mean to depend on past observations and past errors through an arbitrary nonlinear function. It captures complex dynamics — such as regime changes, asymmetric cycles, and threshold effects — that linear models miss, making it valuable for economic and financial time series. | 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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