Research Article
A New Class of Heavy-Tailed Distributions: Modeling and Simulating Actuarial Measures
Table 5
For
, the simulation study of the risk measures for Weibull and HTBPT–Weibull distributions.
| Distributions | Parameters | Significance level | VaR | TVaR |
| Weibull | = 1.4 | 0.700 | 3.5223 | 6.5398 | 0.750 | 4.0674 | 7.0905 | 0.800 | 4.7365 | 7.7658 | 0.850 | 5.6019 | 8.6383 | = 1 | 0.900 | 6.8261 | 9.8712 | 0.950 | 8.9288 | 11.9865 | 0.975 | 11.0415 | 14.1096 | 0.999 | 20.9426 | 24.0443 |
| HTBPT–Weibull | = 1.4 | 0.700 | 5.2740 | 11.8733 | 0.750 | 5.9707 | 13.1263 | 0.800 | 6.8839 | 14.8067 | = 0.9 | 0.850 | 8.1815 | 17.2459 | = 1 | 0.900 | 10.2962 | 21.3004 | 0.950 | 14.9397 | 30.3714 | 0.975 | 21.3899 | 43.1248 | 0.999 | 108.1901 | 216.4486 |
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