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푸리에 ARMA 모형×비선형 ARMA 모형(NARMA)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도2004–20061980s–1990s
창시자Becker, Enders, and HurnTong (1990); Granger & Terasvirta (1993)
유형Time series model with smooth structural changeNonlinear time series model
원전Becker, R., Enders, W., & Hurn, S. (2006). A general test for time dependence in parameters. Journal of Applied Econometrics, 21(7), 1005–1028. link ↗Tong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300
별칭Fourier ARMA, ARMA with Fourier terms, trigonometric ARMA, smooth structural change ARMANARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving average
관련52
요약The Fourier ARMA model augments the classical Autoregressive Moving Average framework with low-frequency Fourier (sine and cosine) terms to capture smooth, gradual shifts in the mean or trend of a time series. Unlike dummy-variable approaches, it requires no prior knowledge of when structural change occurred, approximating change with flexible trigonometric functions.The 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.
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