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비선형 ARMA 모형(NARMA)×ARCH 모형 (자기회귀 조건부 이분산성)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도1980s–1990s1982
창시자Tong (1990); Granger & Terasvirta (1993)Robert F. Engle
유형Nonlinear time series modelConditional volatility model
원전Tong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗
별칭NARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving averageARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
관련26
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 ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.
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