Research Article
A New Transmuted Generalized Lomax Distribution: Properties and Applications to COVID-19 Data
Table 4
Various measures for parameters of TGL distribution based on different schemes of samples: Case 3.
| N | M | Bias | MSE | L.ACI | L.BPCI | L.BTCI | CP (%) |
| 30 | 30 | | 0.0937 | 0.1825 | 1.6349 | 0.1569 | 0.1576 | 99.89 | | −0.9293 | 1.0697 | 4.0882 | 1.2977 | 1.3166 | 93.69 | | 0.0507 | 0.0593 | 0.9339 | 0.0523 | 0.0519 | 97.01 | | 0.7467 | 2.3515 | 5.2533 | 0.7690 | 0.7595 | 95.90 | | −0.0886 | 0.1389 | 1.4201 | 0.1467 | 0.1464 | 98.45 | 25 | | 0.0675 | 0.2530 | 1.9547 | 0.2090 | 0.2062 | 98.60 | | −1.0851 | 2.8773 | 4.3929 | 2.0501 | 1.9617 | 95.10 | | 0.0922 | 0.0619 | 0.9060 | 0.0849 | 0.0850 | 94.80 | | 0.8103 | 2.5817 | 5.4576 | 0.4411 | 0.4389 | 96.50 | | −0.0643 | 0.1778 | 1.6342 | 0.1544 | 0.1553 | 97.20 | 20 | | 0.0563 | 0.3745 | 2.3900 | 0.2332 | 0.2358 | 98.50 | | −1.4870 | 3.2350 | 5.2192 | 1.9231 | 1.9180 | 94.50 | | 0.1298 | 0.0896 | 1.0575 | 0.1038 | 0.1037 | 95.30 | | 0.9029 | 2.7732 | 5.4879 | 0.5950 | 0.5936 | 95.20 | | −0.0555 | 0.2429 | 1.9205 | 0.1908 | 0.1920 | 97.00 |
| 50 | 50 | | 0.0748 | 0.1549 | 1.5154 | 0.1457 | 0.1476 | 99.60 | | −0.3842 | 0.9235 | 3.6210 | 0.5458 | 0.5468 | 94.40 | | 0.0510 | 0.0486 | 0.8415 | 0.0648 | 0.0651 | 96.30 | | 0.4395 | 0.9975 | 3.5173 | 0.3065 | 0.2983 | 94.70 | | −0.0925 | 0.1053 | 1.2198 | 0.1239 | 0.1228 | 98.50 | 40 | | 0.0557 | 0.2313 | 1.8735 | 0.1751 | 0.1735 | 98.20 | | −0.9798 | 1.1929 | 4.0658 | 1.3002 | 1.2948 | 94.80 | | 0.0855 | 0.0769 | 1.0348 | 0.0723 | 0.0728 | 95.70 | | 0.6323 | 1.8210 | 4.6755 | 0.3789 | 0.3788 | 95.60 | | −0.1014 | 0.1360 | 1.3908 | 0.1445 | 0.1457 | 98.10 | 30 | | 0.0307 | 0.3267 | 2.2384 | 0.2249 | 0.2275 | 98.60 | | −1.0355 | 3.2609 | 4.9372 | 2.1615 | 2.1135 | 94.00 | | 0.1278 | 0.0792 | 0.9260 | 0.0974 | 0.0974 | 95.50 | | 0.6536 | 1.9676 | 4.8675 | 0.5197 | 0.5227 | 94.30 | | −0.0765 | 0.1560 | 1.5196 | 0.1469 | 0.1522 | 97.00 |
| 100 | 100 | | 0.0770 | 0.0972 | 1.1846 | 0.1112 | 0.1113 | 97.70 | | −0.0124 | 0.5159 | 2.8165 | 0.3334 | 0.3336 | 98.50 | | 0.0237 | 0.0152 | 0.4742 | 0.0470 | 0.0468 | 94.30 | | 0.2246 | 0.4043 | 2.3330 | 0.1685 | 0.1660 | 97.40 | | −0.0733 | 0.0549 | 0.8724 | 0.0847 | 0.0855 | 96.10 | 90 | | 0.0788 | 0.1203 | 1.3248 | 0.1411 | 0.1409 | 97.00 | | −0.0530 | 0.5808 | 2.9817 | 0.2731 | 0.2639 | 98.20 | | 0.0311 | 0.0179 | 0.5107 | 0.0523 | 0.0512 | 94.90 | | 0.2587 | 0.5089 | 2.4834 | 0.2217 | 0.2187 | 97.50 | | −0.0816 | 0.0613 | 0.9170 | 0.0852 | 0.0854 | 96.30 | 70 | | 0.0427 | 0.1847 | 1.6773 | 0.1740 | 0.1747 | 96.70 | | −0.1007 | 0.6838 | 3.2191 | 0.3718 | 0.3522 | 97.70 | | 0.0656 | 0.0326 | 0.6602 | 0.0657 | 0.0654 | 93.80 | | 0.2924 | 0.5365 | 2.6340 | 0.2452 | 0.2441 | 96.60 | | −0.0840 | 0.0855 | 1.0983 | 0.0993 | 0.0991 | 98.30 |
|
|