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강건 자기회귀 모형×ARIMA 모형 (자기회귀 누적 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19861970
창시자Martin & Yohai (influential early work); broader robust time series literatureGeorge Box and Gwilym Jenkins
유형Robust time series modelTime series forecasting model
원전Martin, R. D., & Yohai, V. J. (1986). Influence functionals for time series. Annals of Statistics, 14(3), 781–818. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
별칭robust autoregression, outlier-robust AR, M-estimator AR, heavy-tail ARARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
관련66
요약The 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.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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