The Exponential T-X Family of Distributions: Properties and an Application to Insurance Data

Table 1

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	1.434	3.140
		0.750	1.711	3.455
		0.800	2.062	3.849
		0.850	2.532	4.371
		0.900	3.226	5.129
		0.950	4.483	6.483
		0.975	5.815	7.900
		0.999	12.739	15.120
ETX-Weibull		0.700	2.322	4.681
		0.750	2.724	5.114
		0.800	3.226	5.651
		0.850	3.885	6.355
		0.900	4.839	7.369
		0.950	6.530	9.156
		0.975	8.293	11.008
		0.999	17.267	20.317