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非线性自回归积分移动平均模型×向量自回归 (VAR) 模型×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份1978-19942005
提出者Howell Tong (SETAR/TAR framework); Timo Terasvirta (STAR extensions)Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
类型Nonlinear time series modelMultivariate time-series model
开创性文献Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522249Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
别名nonlinear ARIMA, NARIMA, nonlinear time series model, nonlinear Box-Jenkins modelvector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
相关34
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.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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  3. PUBLISHED

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ScholarGate方法对比: Nonlinear ARIMA model · VAR Model. 于 2026-06-17 检索自 https://scholargate.app/zh/compare