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비선형 자기회귀(NAR) 모형×ARIMA 모형 (자기회귀 누적 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도1978-19901970
창시자Tong, H. (threshold AR); Terasvirta, T. (STAR variant)George Box and Gwilym Jenkins
유형Nonlinear time series modelTime series forecasting 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 modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
관련66
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 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.
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