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| Tail Risk Measures× | Regression ya Kiasi (Quantile Regression)× | |
|---|---|---|
| Nyanja≠ | Fedha | Ekonometriki |
| Familia | Regression model | Regression model |
| Mwaka wa asili≠ | 1999 | 1978 |
| Mwanzilishi≠ | Artzner, Delbaen, Eber & Heath (coherent risk axioms); Acerbi & Tasche (Expected Shortfall) | Koenker & Bassett |
| Aina≠ | Coherent tail risk measure | Conditional quantile regression |
| Chanzo asilia≠ | Artzner, P., Delbaen, F., Eber, J.-M. & Heath, D. (1999). Coherent Measures of Risk. Mathematical Finance, 9(3), 203–228. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Majina mbadala≠ | expected shortfall, conditional value at risk, CVaR, spectral risk measure | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Zinazohusiana | 5 | 5 |
| Muhtasari≠ | Tail risk measures quantify the loss distribution beyond Value-at-Risk (VaR). Expected Shortfall — the expected loss given that VaR is exceeded — is the leading coherent risk measure, formalised by Artzner, Delbaen, Eber and Heath (1999) and shown to be coherent by Acerbi and Tasche (2002). Spectral and expectile-based measures generalise it. | 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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