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| Bayes'i autoregressiivse tinglikult heteroskedastilisuse (ARCH) mudel× | Bayes' EGARCH-mudel× | |
|---|---|---|
| Valdkond | Ökonomeetria | Ökonomeetria |
| Perekond | Regression model | Regression model |
| Tekkeaasta≠ | 1982 (ARCH); 1989 (Bayesian estimation) | 1991 (EGARCH); 2000s (Bayesian estimation) |
| Looja≠ | Robert F. Engle (ARCH, 1982); Bayesian treatment: John Geweke (1989) | Nelson (1991) for EGARCH; Bayesian inference via MCMC developed from early 2000s |
| Tüüp | Volatility model with Bayesian inference | Volatility model with Bayesian inference |
| Algallikas≠ | 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 ↗ |
| Rööpnimetused | Bayesian ARCH, ARCH with Bayesian estimation, Bayesian conditional heteroskedasticity model, B-ARCH | Bayesian EGARCH model, Bayesian Exponential GARCH, EGARCH with Bayesian estimation, B-EGARCH |
| Seotud | 6 | 6 |
| Kokkuvõte≠ | The Bayesian ARCH model estimates Engle's Autoregressive Conditional Heteroskedasticity specification within a Bayesian framework. Instead of maximising a likelihood, it combines a prior distribution over the volatility parameters with the data likelihood to obtain a full posterior distribution, providing richer uncertainty quantification than classical maximum-likelihood ARCH. | 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. |
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