Research Article
The Exponential T-X Family of Distributions: Properties and an Application to Insurance Data
Table 2
Simulation results of VaR and TVaR of the Weibull and ETX-Weibull distributions for n = 150.
| Dist. | Par. | Level of significance | VaR | TVaR |
| Weibull | | 0.700 | 0.879 | 1.205 | | 0.750 | 0.951 | 1.263 | | 0.800 | 1.033 | 1.331 | | 0.850 | 1.132 | 1.415 | | 0.900 | 1.261 | 1.526 | | 0.950 | 1.459 | 1.701 | | 0.975 | 1.638 | 1.863 | | 0.999 | 2.321 | 2.498 | ETX-Weibull | | 0.700 | 1.053 | 1.426 | | 0.750 | 1.135 | 1.493 | | 0.800 | 1.230 | 1.571 | | 0.850 | 1.343 | 1.666 | | 0.900 | 1.490 | 1.793 | | 0.950 | 1.716 | 1.994 | | 0.975 | 1.921 | 2.179 | | 0.999 | 2.708 | 2.914 |
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