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강건 ARMA 모형×ARMA 모형 (자기회귀 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19861970
창시자Martin & Yohai (1986); broader robust time series literatureGeorge E. P. Box and Gwilym M. Jenkins
유형Robust time series modelTime series 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 estimationARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
관련55
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 ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.
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