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강건 ARMA 모형×ARIMA 모형 (자기회귀 누적 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19861970
창시자Martin & Yohai (1986); broader robust time series literatureGeorge Box and Gwilym Jenkins
유형Robust time series modelTime series forecasting model
원전Franses, P. H., & Ghijsels, H. (1999). Additive outliers, GARCH and forecasting volatility. International Journal of Forecasting, 15(1), 1-9. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
별칭robust ARMA, outlier-robust ARMA, M-estimator ARMA, resistant ARMA estimationARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
관련56
요약The Robust ARMA model extends the classical Autoregressive Moving Average framework by replacing the sensitive least-squares loss with outlier-resistant estimation methods — typically M-estimators or median-based approaches. This protects coefficient estimates and forecasts from being distorted by additive outliers, level shifts, or innovational outliers that are common in economic and financial time series.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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