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| Modello ARCH Robusto× | Modello EGARCH (Exponential GARCH)× | Regressione quantilica× | |
|---|---|---|---|
| Campo | Econometria | Econometria | Econometria |
| Famiglia | Regression model | Regression model | Regression model |
| Anno di origine≠ | 2002–2008 | 1991 | 1978 |
| Ideatore≠ | Engle (1982) for ARCH; robust variants developed by Muler, Yohai, and others from the early 2000s | Daniel B. Nelson | Koenker & Bassett |
| Tipo≠ | Volatility / conditional heteroscedasticity model | Volatility / conditional variance model | Conditional quantile regression |
| Fonte seminale≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Alias≠ | robust ARCH, outlier-robust ARCH, heavy-tailed ARCH, robust conditional volatility model | Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Correlati≠ | 6 | 6 | 5 |
| Sintesi≠ | The Robust ARCH model extends the classical Autoregressive Conditional Heteroscedasticity framework by replacing the standard maximum-likelihood estimator with robust alternatives that downweight or eliminate the influence of outliers. This makes volatility estimates resistant to extreme observations that frequently contaminate financial and macroeconomic time series. | The Exponential GARCH (EGARCH) model, introduced by Nelson (1991), extends the standard GARCH framework by modelling the logarithm of conditional variance. This ensures variance is always positive without parameter constraints and, crucially, allows negative and positive shocks to have asymmetric effects on volatility — capturing the well-known leverage effect in financial markets. | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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