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非线性自回归 (NAR) 模型×自回归模型 (AR)×非线性自回归分布式滞后 (NARDL) 模型×
领域计量经济学计量经济学计量经济学
方法族Regression modelRegression modelRegression model
起源年份1978-19901970s (popularised 1976)2014
提出者Tong, H. (threshold AR); Terasvirta, T. (STAR variant)George E. P. Box and Gwilym M. JenkinsShin, Yu & Greenwood-Nimmo
类型Nonlinear time series modelTime series modelNonlinear cointegration model
开创性文献Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522201Box, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043Shin, Y., Yu, B., & Greenwood-Nimmo, M. (2014). Modelling asymmetric cointegration and dynamic multipliers in a nonlinear ARDL framework. In R. C. Sickles & W. C. Horrace (Eds.), Festschrift in Honor of Peter Schmidt: Econometric Methods and Applications (pp. 281–314). Springer. link ↗
别名NAR model, nonlinear autoregression, NLAR, threshold autoregressive modelAR model, AR(p) model, autoregression, AR processNARDL, nonlinear bounds test, asymmetric ARDL, asymmetric cointegration model
相关665
摘要The Nonlinear AR model extends the classical autoregressive framework by allowing the mapping from past values to the current value to follow an arbitrary or regime-switching nonlinear function. Major families include the Self-Exciting Threshold AR (SETAR), Smooth Transition AR (STAR), and neural network AR, each capturing different forms of asymmetry, regime shifts, or smooth nonlinear dynamics in univariate time series.An autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.The Nonlinear ARDL (NARDL) model extends the linear ARDL bounds-testing framework to allow asymmetric long-run and short-run relationships. By decomposing the regressor into cumulative positive and negative partial sums, it tests whether increases and decreases in a variable exert different effects on the outcome — a feature especially relevant in financial and energy economics where positive and negative shocks rarely cancel out symmetrically.
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ScholarGate方法对比: Nonlinear AR Model · Autoregressive model · Nonlinear ARDL. 于 2026-06-19 检索自 https://scholargate.app/zh/compare