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| Modello EGARCH Bayesiano× | Modello VAR Bayesiano (BVAR)× | |
|---|---|---|
| Campo | Econometria | Econometria |
| Famiglia | Regression model | Regression model |
| Anno di origine≠ | 1991 (EGARCH); 2000s (Bayesian estimation) | 1984 |
| Ideatore≠ | Nelson (1991) for EGARCH; Bayesian inference via MCMC developed from early 2000s | Doan, Litterman & Sims |
| Tipo≠ | Volatility model with Bayesian inference | Multivariate time-series model |
| Fonte seminale≠ | Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗ | Doan, T., Litterman, R., & Sims, C. (1984). Forecasting and conditional projection using realistic prior distributions. Econometric Reviews, 3(1), 1–100. DOI ↗ |
| Alias | Bayesian EGARCH model, Bayesian Exponential GARCH, EGARCH with Bayesian estimation, B-EGARCH | BVAR, Bayesian VAR, Bayesian vector autoregressive model, BVAR model |
| Correlati≠ | 6 | 5 |
| Sintesi≠ | The Bayesian EGARCH model combines Nelson's (1991) Exponential GARCH specification — which models the log of conditional variance and captures the leverage effect — with Bayesian posterior inference via Markov Chain Monte Carlo (MCMC). This allows full uncertainty quantification of all volatility parameters, including the asymmetry coefficient, without requiring large-sample normality of the estimates. | The Bayesian Vector Autoregression (BVAR) model extends the classical VAR framework by incorporating prior beliefs about the model coefficients. Priors — most commonly the Minnesota prior — shrink VAR coefficients toward economically sensible values, dramatically reducing overfitting and improving out-of-sample forecast accuracy even when the number of variables is large. |
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