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Robuster gleitender Mittelwert (MA)-Modell×Robustes ARMA-Modell×
FachgebietÖkonometrieÖkonometrie
FamilieRegression modelRegression model
Entstehungsjahr1979–20091986
UrheberDenby & Martin (1979); Muler, Pena & Yohai (2009)Martin & Yohai (1986); broader robust time series literature
TypRobust time series modelRobust time series model
Wegweisende QuelleDenby, L., & Martin, R. D. (1979). Robust estimation of the first-order autoregressive parameter. Journal of the American Statistical Association, 74(365), 140–146. DOI ↗Franses, P. H., & Ghijsels, H. (1999). Additive outliers, GARCH and forecasting volatility. International Journal of Forecasting, 15(1), 1-9. link ↗
Aliasnamenrobust MA, robust moving average, M-estimation MA, bounded-influence MArobust ARMA, outlier-robust ARMA, M-estimator ARMA, resistant ARMA estimation
Verwandt65
ZusammenfassungThe Robust MA model applies robust estimation — typically M-estimation or bounded-influence methods — to the Moving Average time series model. By replacing the ordinary least squares loss with a bounded loss function, it produces parameter estimates that are far less sensitive to outliers, additive noise spikes, or heavy-tailed error distributions than the classical Gaussian MA.The 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.
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ScholarGateMethoden vergleichen: Robust MA model · Robust ARMA Model. Abgerufen am 2026-06-15 von https://scholargate.app/de/compare