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비선형 자기회귀(NAR) 모형×ARMA 모형 (자기회귀 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도1978-19901970
창시자Tong, H. (threshold AR); Terasvirta, T. (STAR variant)George E. P. Box and Gwilym M. Jenkins
유형Nonlinear time series modelTime series model
원전Tong, 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 ↗
별칭NAR model, nonlinear autoregression, NLAR, threshold autoregressive modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
관련65
요약The 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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