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비선형 ARMA 모형(NARMA)×ARMA 모형 (자기회귀 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도1980s–1990s1970
창시자Tong (1990); Granger & Terasvirta (1993)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: 978-0198522300Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
별칭NARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving averageARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
관련25
요약The Nonlinear ARMA (NARMA) model extends the classical linear ARMA framework by allowing the conditional mean to depend on past observations and past errors through an arbitrary nonlinear function. It captures complex dynamics — such as regime changes, asymmetric cycles, and threshold effects — that linear models miss, making it valuable for economic and financial 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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