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강건 ARMA 모형×강건 자기회귀 모형×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19861986
창시자Martin & Yohai (1986); broader robust time series literatureMartin & Yohai (influential early work); broader robust time series literature
유형Robust time series modelRobust time series model
원전Franses, P. H., & Ghijsels, H. (1999). Additive outliers, GARCH and forecasting volatility. International Journal of Forecasting, 15(1), 1-9. link ↗Martin, R. D., & Yohai, V. J. (1986). Influence functionals for time series. Annals of Statistics, 14(3), 781–818. DOI ↗
별칭robust ARMA, outlier-robust ARMA, M-estimator ARMA, resistant ARMA estimationrobust autoregression, outlier-robust AR, M-estimator AR, heavy-tail AR
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 robust AR model fits an autoregressive time series specification using estimation methods — typically M-estimators or bounded-influence estimators — that resist distortion from outliers and heavy-tailed error distributions. Unlike OLS-based AR estimation, robust variants down-weight extreme observations so that a small number of contaminated data points cannot dominate the fitted dynamics.
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