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비선형 이동평균 (NMA) 모형×비선형 자기회귀(NAR) 모형×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19781978-1990
창시자Granger & Andersen (bilinear/NMA framework); Tong (nonlinear time series theory)Tong, H. (threshold AR); Terasvirta, T. (STAR variant)
유형Nonlinear time series modelNonlinear time series model
원전Granger, C. W. J., & Andersen, A. P. (1978). An Introduction to Bilinear Time Series Models. Vandenhoeck and Ruprecht, Gottingen. link ↗Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522201
별칭NMA model, nonlinear moving average, NLMA model, nonlinear MANAR model, nonlinear autoregression, NLAR, threshold autoregressive model
관련46
요약The Nonlinear Moving Average (NMA) model extends the classical linear MA model by allowing the current observation to depend on past innovations through a nonlinear function rather than a simple weighted sum. It is used in time series analysis when error shocks transmit to outcomes in an asymmetric or state-dependent fashion.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.
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