Research Article
Actuarial Measures, Regression, and Applications of Exponentiated Fréchet Loss Distribution
Table 4
Simulation results of EFL regression model.
| Parameter | n | I | II | AE | AB | RMSE | AV | AB | RMSE |
| | 25 | 1.5750 | 1.3015 | 1.4018 | 1.6328 | 1.5141 | 1.9941 | 50 | 1.8351 | 1.3302 | 1.4430 | 1.5665 | 1.4361 | 1.9328 | 150 | 1.7534 | 1.2188 | 1.3764 | 1.2907 | 1.1592 | 1.6775 | 300 | 1.7799 | 1.1097 | 1.3204 | 0.9486 | 0.8154 | 1.3465 | 600 | 1.5831 | 0.7914 | 1.0999 | 0.4932 | 0.3511 | 0.7449 |
| | 25 | 0.8377 | 0.5794 | 0.9522 | 0.1858 | 0.1613 | 0.5030 | 50 | 0.8812 | 0.6081 | 0.9992 | 0.1891 | 0.1633 | 0.4875 | 150 | 0.9366 | 0.5873 | 1.0115 | 0.1429 | 0.1133 | 0.3203 | 300 | 0.8054 | 0.4375 | 0.8552 | 0.1230 | 0.0807 | 0.2047 | 600 | 0.7047 | 0.2937 | 0.6746 | 0.1117 | 0.0478 | 0.0908 |
| | 25 | 1.7392 | 1.1814 | 1.3640 | 0.8161 | 0.5502 | 0.8555 | 50 | 1.9304 | 1.0784 | 1.2860 | 0.7391 | 0.4252 | 0.6870 | 150 | 2.0814 | 0.7840 | 1.0541 | 0.5893 | 0.2040 | 0.3078 | 300 | 1.9843 | 0.5641 | 0.8413 | 0.5707 | 0.1321 | 0.1822 | 600 | 1.9311 | 0.3531 | 0.6311 | 0.5888 | 0.0792 | 0.1169 |
| | 25 | 0.1763 | 0.6405 | 0.7970 | 0.3600 | 0.7679 | 0.9953 | 50 | 0.0387 | 0.4832 | 0.5792 | 0.2207 | 0.5229 | 0.6534 | 150 | −0.0842 | 0.3709 | 0.4597 | 0.1326 | 0.3392 | 0.4289 | 300 | −0.0579 | 0.2856 | 0.3903 | 0.0745 | 0.2712 | 0.3480 | 600 | −0.0036 | 0.2078 | 0.3231 | 0.0079 | 0.1944 | 0.2733 |
| | 25 | −0.0218 | 0.5306 | 0.7228 | 0.0171 | 0.7157 | 0.9328 | 50 | 0.0098 | 0.3110 | 0.4033 | −0.0040 | 0.4494 | 0.5657 | 150 | 0.0176 | 0.1435 | 0.1971 | 0.0361 | 0.2941 | 0.3551 | 300 | 0.0211 | 0.1023 | 0.1431 | 0.0354 | 0.2684 | 0.3176 | 600 | 0.0398 | 0.0673 | 0.1029 | 0.0884 | 0.2118 | 0.2596 |
| | 25 | −0.0137 | 0.5601 | 0.7514 | −0.0288 | 0.7691 | 0.9846 | 50 | −0.0026 | 0.3177 | 0.4193 | 0.0261 | 0.4868 | 0.6066 | 150 | 0.0050 | 0.1478 | 0.2007 | 0.0220 | 0.3901 | 0.4568 | 300 | 0.0246 | 0.1018 | 0.1415 | 0.0452 | 0.3558 | 0.4022 | 600 | 0.0415 | 0.0646 | 0.0974 | 0.1150 | 0.2850 | 0.3421 |
| | 25 | 0.0863 | 0.9140 | 1.0952 | 0.0113 | 0.7855 | 1.0018 | 50 | 0.0489 | 0.8593 | 0.9506 | 0.0180 | 0.5758 | 0.6966 | 150 | 0.1009 | 0.7991 | 0.8608 | 0.0370 | 0.4694 | 0.5320 | 300 | 0.1854 | 0.7146 | 0.8043 | 0.0607 | 0.4395 | 0.4844 | 600 | 0.3569 | 0.5431 | 0.6982 | 0.1408 | 0.3592 | 0.4269 |
|
|