Regression modelEconometrics / time series

Robust ARMA Model

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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Sources

  1. Franses, P. H., & Ghijsels, H. (1999). Additive outliers, GARCH and forecasting volatility. International Journal of Forecasting, 15(1), 1-9. link
  2. Martin, R. D., & Yohai, V. J. (1986). Influence functionals for time series. The Annals of Statistics, 14(3), 781-818. link

Related methods

Referenced by

ScholarGateRobust ARMA Model (Robust Autoregressive Moving Average Model). Retrieved 2026-06-04 from https://scholargate.app/tr/econometrics/robust-arma-model