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非線形自己回帰(NAR)モデル×ARMAモデル(自己回帰移動平均)×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年1978-19901970
提唱者Tong, H. (threshold AR); Terasvirta, T. (STAR variant)George E. P. Box and Gwilym M. Jenkins
種類Nonlinear time series modelTime series model
原典Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522201Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
別名NAR model, nonlinear autoregression, NLAR, threshold autoregressive modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
関連65
概要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.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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ScholarGate手法を比較: Nonlinear AR Model · ARMA model. 2026-06-15に以下より取得 https://scholargate.app/ja/compare