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Esamina i metodi selezionati fianco a fianco; le righe che differiscono sono evidenziate.
| Backtesting del Value-at-Risk (VaR)× | Modello GARCH (Previsione della Volatilità)× | Regression with Ordinary Least Squares (OLS)× | |
|---|---|---|---|
| Campo≠ | Finanza | Econometria | Econometria |
| Famiglia | Regression model | Regression model | Regression model |
| Anno di origine≠ | 1998 | 1986 | 2019 |
| Ideatore≠ | Kupiec (1995); Christoffersen (1998); Engle & Manganelli (DQ test) | Tim Bollerslev | Wooldridge (textbook treatment); classical least squares |
| Tipo≠ | Statistical hypothesis tests on VaR violation sequences | Conditional volatility model | Linear regression |
| Fonte seminale≠ | Kupiec, P. H. (1995). Techniques for Verifying the Accuracy of Risk Measurement Models. The Journal of Derivatives, 3(2), 73-84. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Alias≠ | VaR backtest, Kupiec test, Christoffersen test, Dynamic Quantile test | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Correlati≠ | 3 | 5 | 5 |
| Sintesi≠ | VaR backtesting is a family of statistical tests that validate a risk model by comparing its Value-at-Risk forecasts against realised losses. It builds on Kupiec's (1995) unconditional coverage test, Christoffersen's (1998) conditional coverage test, and the Engle-Manganelli Dynamic Quantile (DQ) test. | The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
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