Research Article
Actuarial Measures, Regression, and Applications of Exponentiated Fréchet Loss Distribution
| Parameter | n | AE | AB | RMSE | MLE | MPS | OLS | WLS | MLE | MPS | OLS | WLS | MLE | MPS | OLS | WLS |
| | 20 | 3.7972 | 4.4066 | 2.4961 | 2.2582 | 2.5633 | 2.7065 | 2.2488 | 2.2212 | 2.6358 | 2.7581 | 2.3539 | 2.3193 | 50 | 3.4789 | 4.2889 | 2.3995 | 2.2666 | 2.4340 | 2.6591 | 2.2065 | 2.1678 | 2.5360 | 2.7230 | 2.3111 | 2.2800 | 100 | 3.2977 | 4.1315 | 2.4378 | 2.4545 | 2.3295 | 2.5732 | 2.1869 | 2.2036 | 2.4582 | 2.6646 | 2.3009 | 2.3125 | 250 | 3.0564 | 3.9016 | 2.5908 | 2.6516 | 2.1733 | 2.4051 | 2.1732 | 2.1253 | 2.3303 | 2.5528 | 2.2972 | 2.2719 | 500 | 2.9788 | 3.7685 | 2.4422 | 2.5695 | 2.0164 | 2.2785 | 2.0835 | 2.0182 | 2.2216 | 2.4620 | 2.2249 | 2.1859 |
| | 20 | 4.2828 | 3.9957 | 6.1518 | 6.7515 | 3.6117 | 3.3059 | 5.3834 | 5.9239 | 5.3204 | 5.0315 | 6.6637 | 7.0373 | 50 | 2.9653 | 2.2402 | 4.7130 | 4.9302 | 2.3452 | 1.6507 | 4.0056 | 4.1863 | 4.0954 | 3.2000 | 5.5390 | 5.7511 | 100 | 2.4394 | 1.6668 | 3.9783 | 3.9308 | 1.7897 | 1.0664 | 3.2788 | 3.2095 | 3.4669 | 2.3947 | 4.8195 | 4.9096 | 250 | 1.9878 | 1.3874 | 2.9522 | 2.8671 | 1.2884 | 0.7392 | 2.2279 | 2.1350 | 2.7699 | 1.9259 | 3.6956 | 3.8618 | 500 | 1.4846 | 1.0920 | 2.5043 | 2.2202 | 0.7513 | 0.4068 | 1.7556 | 1.4656 | 1.6941 | 1.0148 | 2.9840 | 2.8564 |
| | 20 | 1.6239 | 2.0225 | 1.7068 | 1.6268 | 1.1616 | 1.5209 | 1.3995 | 1.2951 | 1.8459 | 2.3794 | 2.0348 | 1.9323 | 50 | 0.9928 | 1.0818 | 1.2033 | 1.0988 | 0.5447 | 0.6210 | 0.8431 | 0.6923 | 0.8965 | 1.0474 | 1.2886 | 1.0916 | 100 | 0.8203 | 0.8516 | 1.0170 | 0.9211 | 0.3255 | 0.3547 | 0.5846 | 0.4405 | 0.4925 | 0.5600 | 0.9429 | 0.7055 | 250 | 0.7534 | 0.7519 | 0.8538 | 0.8003 | 0.1830 | 0.1825 | 0.3218 | 0.2310 | 0.2534 | 0.2552 | 0.4783 | 0.3334 | 500 | 0.7392 | 0.7324 | 0.7943 | 0.7687 | 0.1329 | 0.1301 | 0.2203 | 0.1661 | 0.1756 | 0.1714 | 0.2984 | 0.2237 |
| | 20 | 0.8258 | 0.9667 | 0.7894 | 0.5815 | 0.3902 | 0.4741 | 0.5319 | 0.3705 | 0.5337 | 0.7869 | 1.0189 | 0.5116 | 50 | 0.8537 | 0.9726 | 0.7628 | 0.6804 | 0.3187 | 0.3692 | 0.4017 | 0.3269 | 0.4207 | 0.5205 | 0.6250 | 0.4235 | 100 | 0.8160 | 0.9107 | 0.7229 | 0.7068 | 0.2411 | 0.2606 | 0.3138 | 0.2774 | 0.3161 | 0.3668 | 0.4117 | 0.3486 | 250 | 0.7811 | 0.8482 | 0.7163 | 0.7244 | 0.1679 | 0.1590 | 0.2311 | 0.1975 | 0.2114 | 0.2081 | 0.2790 | 0.2401 | 500 | 0.7772 | 0.8306 | 0.7087 | 0.7285 | 0.1264 | 0.1151 | 0.1907 | 0.1582 | 0.1582 | 0.1464 | 0.2257 | 0.1941 |
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