Research Article
A New Transmuted Generalized Lomax Distribution: Properties and Applications to COVID-19 Data
Table 2
Various measures for parameters of TGL distribution based on different schemes of samples: Case 1.
| N | M | Bias | MSE | L.ACI | L.BPCI | L.BTCI | CP (%) |
| 30 | 30 | | 0.0046 | 0.0499 | 0.8572 | 0.0992 | 0.0979 | 96.40 | | 0.0190 | 0.0392 | 0.7731 | 0.0815 | 0.0812 | 94.60 | | 0.0241 | 0.0211 | 0.5615 | 0.0551 | 0.0547 | 97.80 | | 0.3174 | 0.5989 | 2.7682 | 0.2530 | 0.2498 | 95.80 | | −0.0138 | 0.0392 | 0.7619 | 0.0830 | 0.0834 | 96.20 | 25 | | 0.0050 | 0.1381 | 1.4572 | 0.1465 | 0.1461 | 95.80 | | −0.0752 | 0.0515 | 0.8396 | 0.0841 | 0.0843 | 96.30 | | 0.0777 | 0.0347 | 0.6641 | 0.0620 | 0.0619 | 96.90 | | 0.3370 | 0.7575 | 3.0897 | 0.2847 | 0.2880 | 95.50 | | -0.0238 | 0.0565 | 0.9277 | 0.0900 | 0.0910 | 96.70 | 20 | | 0.0445 | 0.2580 | 1.9846 | 0.1882 | 0.1852 | 93.20 | | −0.1213 | 0.0713 | 0.9333 | 0.0970 | 0.0979 | 98.00 | | 0.1470 | 0.0769 | 0.9220 | 0.0974 | 0.0974 | 94.80 | | 0.3673 | 0.8658 | 3.3531 | 0.3672 | 0.3640 | 95.00 | | -0.0395 | 0.0624 | 0.9670 | 0.0919 | 0.0919 | 96.70 |
| 50 | 50 | | 0.0139 | 0.0354 | 0.7220 | 0.0689 | 0.0678 | 96.70 | | 0.0250 | 0.0372 | 0.7506 | 0.0622 | 0.0636 | 93.20 | | 0.0146 | 0.0117 | 0.4207 | 0.0251 | 0.0252 | 98.10 | | 0.2688 | 0.4656 | 2.4598 | 0.2680 | 0.2604 | 95.30 | | −0.0102 | 0.0286 | 0.6449 | 0.0666 | 0.0656 | 96.70 | 40 | | −0.0143 | 0.1437 | 1.4834 | 0.1339 | 0.1357 | 94.10 | | −0.0714 | 0.0482 | 0.8141 | 0.0788 | 0.0781 | 95.10 | | 0.0763 | 0.0371 | 0.6941 | 0.0603 | 0.0604 | 95.30 | | 0.2931 | 0.5376 | 2.5974 | 0.2705 | 0.2643 | 96.40 | | −0.0198 | 0.0505 | 0.8783 | 0.0739 | 0.0719 | 96.40 | 30 | | −0.0153 | 0.2732 | 2.0492 | 0.2223 | 0.2199 | 94.30 | | −0.0980 | 0.0587 | 0.8695 | 0.0867 | 0.0875 | 98.20 | | 0.1424 | 0.0679 | 0.8562 | 0.0953 | 0.0960 | 95.10 | | 0.3750 | 0.5968 | 2.8313 | 0.2948 | 0.3059 | 95.60 | | −0.0347 | 0.0548 | 0.9084 | 0.0801 | 0.0798 | 97.70 |
| 100 | 100 | | 0.0031 | 0.0190 | 0.5275 | 0.0444 | 0.0447 | 96.60 | | 0.0089 | 0.0305 | 0.5867 | 0.0581 | 0.0578 | 93.20 | | 0.0054 | 0.0023 | 0.1851 | 0.0163 | 0.0162 | 95.60 | | 0.1932 | 0.2261 | 1.7040 | 0.1498 | 0.1481 | 95.00 | | −0.0103 | 0.0149 | 0.4653 | 0.0476 | 0.0480 | 97.00 | 90 | | 0.0044 | 0.0490 | 0.8679 | 0.0984 | 0.0982 | 95.20 | | −0.0284 | 0.0312 | 0.6836 | 0.0647 | 0.0645 | 93.80 | | 0.0275 | 0.0052 | 0.2603 | 0.0242 | 0.0243 | 95.00 | | 0.2084 | 0.3174 | 2.0528 | 0.1766 | 0.1782 | 95.10 | | −0.0127 | 0.0227 | 0.5874 | 0.0512 | 0.0524 | 96.30 | 70 | | −0.0750 | 0.1673 | 1.5771 | 0.1576 | 0.1573 | 94.60 | | −0.0488 | 0.0409 | 0.7697 | 0.0850 | 0.0846 | 98.70 | | 0.0869 | 0.0277 | 0.5562 | 0.0572 | 0.0562 | 94.90 | | 0.2216 | 0.4024 | 2.3311 | 0.2574 | 0.2514 | 96.10 | | −0.0177 | 0.0366 | 0.7499 | 0.0684 | 0.0681 | 97.70 |
|
|