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비선형 SARIMA 모형×ARIMA 모형 (자기회귀 누적 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도1990–20001970
창시자Tong (1990) for threshold nonlinear extensions; Franses & van Dijk (2000) for empirical finance applicationsGeorge 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: 978-0198523000Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
별칭NL-SARIMA, nonlinear seasonal ARIMA, threshold SARIMA, smooth transition SARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
관련36
요약The Nonlinear SARIMA model extends the classical Seasonal ARIMA framework by replacing the linear conditional mean function with a nonlinear specification — such as threshold switching or smooth transition — while retaining seasonal differencing and lag structure. It is used when seasonal time series exhibit regime-dependent dynamics, asymmetric adjustment, or other nonlinear patterns that a linear model cannot capture.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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