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非线性自回归积分移动平均模型×自回归积分滑动平均模型 (ARIMA)×向量自回归 (VAR) 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1978-199419702005
提出者Howell Tong (SETAR/TAR framework); Timo Terasvirta (STAR extensions)George Box and Gwilym JenkinsLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
类型Nonlinear time series modelTime series forecasting modelMultivariate time-series model
开创性文献Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522249Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
别名nonlinear ARIMA, NARIMA, nonlinear time series model, nonlinear Box-Jenkins modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
相关364
摘要The Nonlinear ARIMA model extends the classical Box-Jenkins ARIMA framework by allowing the conditional mean of a time series to depend on past values and past errors through a nonlinear function. It encompasses families such as Threshold AR (TAR/SETAR), Smooth Transition AR (STAR/LSTAR/ESTAR), and Markov-switching models, capturing asymmetric dynamics, regime changes, and business-cycle asymmetries that linear ARIMA cannot represent.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.Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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ScholarGate方法对比: Nonlinear ARIMA model · ARIMA model · VAR Model. 于 2026-06-18 检索自 https://scholargate.app/zh/compare