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.

DistributionsParametersSignificance levelVaRTVaR

Weibull = 1.40.7003.52236.5398
0.7504.06747.0905
0.8004.73657.7658
0.8505.60198.6383
 = 10.9006.82619.8712
0.9508.928811.9865
0.97511.041514.1096
0.99920.942624.0443

HTBPT–Weibull = 1.40.7005.274011.8733
0.7505.970713.1263
0.8006.883914.8067
 = 0.90.8508.181517.2459
 = 10.90010.296221.3004
0.95014.939730.3714
0.97521.389943.1248
0.999108.1901216.4486