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강건 자기회귀 모형×ARIMA 모형 (자기회귀 누적 이동평균)×강건 일반화 최소제곱법 (Robust GLS)×
분야계량경제학계량경제학계량경제학
계열Regression modelRegression modelRegression model
기원 연도198619701936 / 1980
창시자Martin & Yohai (influential early work); broader robust time series literatureGeorge Box and Gwilym JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
유형Robust time series modelTime series forecasting modelRobust linear regression
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 ↗Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381
별칭robust autoregression, outlier-robust AR, M-estimator AR, heavy-tail ARARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS
관련665
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.Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure.
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ScholarGate방법 비교: Robust AR model · ARIMA model · Robust GLS. 2026-06-18에 다음에서 검색함: https://scholargate.app/ko/compare