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| Modello ARMA Robusto× | OLS Robusto (OLS con Errori Standard Robusti)× | |
|---|---|---|
| Campo | Econometria | Econometria |
| Famiglia | Regression model | Regression model |
| Anno di origine≠ | 1986 | 1980 |
| Ideatore≠ | Martin & Yohai (1986); broader robust time series literature | Halbert White |
| Tipo≠ | Robust time series model | Linear regression with robust inference |
| Fonte seminale≠ | Franses, P. H., & Ghijsels, H. (1999). Additive outliers, GARCH and forecasting volatility. International Journal of Forecasting, 15(1), 1-9. link ↗ | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| Alias | robust ARMA, outlier-robust ARMA, M-estimator ARMA, resistant ARMA estimation | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors |
| Correlati≠ | 5 | 6 |
| Sintesi≠ | 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. | Robust OLS applies ordinary least squares to estimate coefficients and then replaces the classical standard errors with heteroscedasticity-consistent (HC) standard errors — commonly called White standard errors. This leaves the point estimates unchanged while yielding valid t-statistics and confidence intervals even when the error variance is not constant across observations. |
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