Research Article
A New Transmuted Generalized Lomax Distribution: Properties and Applications to COVID-19 Data
Table 5
Various measures for parameters of TGL distribution based on different schemes of samples: Case 4.
| N | M | Bias | MSE | L.ACI | L.BPCI | L.BTCI | CP (%) |
| 30 | 30 | | 0.0457 | 0.8716 | 3.6572 | 0.3452 | 0.3467 | 93.10 | | −0.7394 | 2.9165 | 3.1121 | 1.0574 | 1.0499 | 95.00 | | 0.2040 | 0.1219 | 1.1113 | 0.1042 | 0.1047 | 93.80 | | 0.0972 | 1.1947 | 4.2698 | 0.3181 | 0.3179 | 94.70 | | −0.0600 | 0.5720 | 2.9403 | 0.2416 | 0.2414 | 94.00 | 25 | | −0.0546 | 1.4718 | 4.7532 | 0.4506 | 0.4508 | 91.50 | | −0.8497 | 3.0780 | 3.2331 | 1.1783 | 1.1561 | 93.00 | | 0.2697 | 0.3005 | 1.8717 | 0.1570 | 0.1558 | 96.80 | | 0.2684 | 1.5735 | 4.8057 | 0.4081 | 0.4142 | 92.60 | | −0.0657 | 0.9053 | 3.7228 | 0.3539 | 0.3501 | 95.40 | 20 | | −0.1183 | 1.8618 | 5.3313 | 0.5021 | 0.5052 | 95.60 | | −0.9115 | 3.5046 | 3.9777 | 1.1938 | 1.1806 | 93.60 | | 0.3144 | 0.3758 | 2.0640 | 0.2992 | 0.2867 | 96.30 | | 0.3536 | 2.0095 | 5.3839 | 0.5360 | 0.5328 | 93.50 | | −0.0967 | 1.1029 | 4.1143 | 0.3862 | 0.3746 | 96.30 |
| 50 | 50 | | 0.0714 | 0.5478 | 2.8490 | 0.3028 | 0.3013 | 96.90 | | −0.1603 | 1.8194 | 2.5870 | 0.6000 | 0.5338 | 98.00 | | 0.1516 | 0.0740 | 0.8855 | 0.0822 | 0.0830 | 94.00 | | −0.0048 | 0.3142 | 2.2536 | 0.1978 | 0.1976 | 96.90 | | −0.1249 | 0.3481 | 2.2389 | 0.2402 | 0.2411 | 97.40 | 40 | | 0.0800 | 0.7323 | 3.3415 | 0.3160 | 0.3159 | 96.10 | | −0.3022 | 2.0353 | 2.9569 | 1.0054 | 0.8703 | 97.70 | | 0.1595 | 0.0794 | 0.9111 | 0.0966 | 0.0970 | 95.20 | | −0.0053 | 0.3584 | 2.3478 | 0.2355 | 0.2312 | 96.30 | | −0.1345 | 0.4580 | 2.6940 | 0.2957 | 0.2946 | 97.20 | 30 | | 0.1254 | 0.9918 | 3.9046 | 0.3661 | 0.3689 | 95.10 | | −0.6051 | 2.1776 | 3.0807 | 1.1412 | 1.0517 | 96.70 | | 0.1817 | 0.2014 | 1.6094 | 0.1155 | 0.1167 | 97.50 | | 0.0084 | 0.5461 | 2.8893 | 0.2832 | 0.2732 | 96.00 | | −0.1449 | 0.5641 | 2.8903 | 0.3036 | 0.3074 | 96.00 |
| 100 | 100 | | 0.0796 | 0.2255 | 1.8359 | 0.1756 | 0.1770 | 97.10 | | 0.0607 | 0.1229 | 1.3542 | 0.1123 | 0.1117 | 98.30 | | 0.0620 | 0.0165 | 0.4407 | 0.0405 | 0.0401 | 95.20 | | −0.0551 | 0.0639 | 0.9675 | 0.1007 | 0.1005 | 94.90 | | −0.1031 | 0.1754 | 1.5918 | 0.1555 | 0.1543 | 96.00 | 90 | | 0.0965 | 0.3391 | 2.2524 | 0.2311 | 0.2307 | 96.70 | | 0.0668 | 0.1273 | 1.3743 | 0.1092 | 0.1095 | 99.30 | | 0.0788 | 0.0233 | 0.5124 | 0.0461 | 0.0462 | 95.30 | | −0.0468 | 0.0696 | 1.0182 | 0.0878 | 0.0872 | 96.40 | | −0.1320 | 0.2347 | 1.8281 | 0.1765 | 0.1761 | 98.10 | 70 | | 0.0949 | 0.4762 | 2.6806 | 0.3019 | 0.3017 | 97.00 | | 0.0006 | 1.3674 | 4.5861 | 0.4831 | 0.4145 | 99.30 | | 0.0968 | 0.0389 | 0.6739 | 0.0468 | 0.0470 | 96.60 | | −0.0358 | 0.1282 | 1.3972 | 0.1466 | 0.1461 | 96.90 | | −0.1416 | 0.2931 | 2.0494 | 0.2083 | 0.2070 | 98.70 |
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