Research Article
A New Transmuted Generalized Lomax Distribution: Properties and Applications to COVID-19 Data
Table 3
Various measures for parameters of TGL distribution based on different schemes of samples: Case 2.
| N | m | Bias | MSE | L.ACI | L.BPCI | L.BTCI | CP (%) |
| 30 | 30 | | 0.0109 | 0.1883 | 1.6472 | 0.1585 | 0.1567 | 94.60 | | −0.3184 | 2.3256 | 4.2623 | 0.3338 | 0.3204 | 99.10 | | 0.1568 | 0.1692 | 1.4916 | 0.1371 | 0.1378 | 95.20 | | 0.1809 | 0.6919 | 3.0693 | 0.2352 | 0.2353 | 97.10 | | −0.0090 | 0.0501 | 0.8773 | 0.0941 | 0.0941 | 94.60 | 25 | | 0.0316 | 0.5118 | 2.8058 | 0.2225 | 0.2250 | 92.90 | | −0.4821 | 4.0856 | 7.6986 | 0.4347 | 0.4033 | 98.00 | | 0.2003 | 0.2467 | 1.7824 | 0.1643 | 0.1644 | 95.90 | | 0.2844 | 0.7288 | 3.1515 | 0.2746 | 0.2742 | 95.00 | | 0.0272 | 0.0839 | 1.1311 | 0.1115 | 0.1128 | 94.30 | 20 | | 0.0657 | 0.6546 | 3.1725 | 0.3272 | 0.3284 | 93.50 | | −0.8510 | 13.7077 | 14.1318 | 1.1032 | 1.0926 | 96.90 | | 0.2369 | 0.3087 | 1.9713 | 0.1659 | 0.1649 | 96.70 | | 0.3023 | 0.7742 | 3.2409 | 0.2864 | 0.2825 | 93.70 | | 0.0342 | 0.1215 | 1.3639 | 0.1106 | 0.1107 | 94.00 |
| 50 | 50 | | 0.0108 | 0.0817 | 1.0769 | 0.1063 | 0.1059 | 93.07 | | −0.0870 | 0.0945 | 1.1618 | 0.1227 | 0.1224 | 93.07 | | 0.0485 | 0.0603 | 0.9486 | 0.0939 | 0.0922 | 97.03 | | 0.1485 | 0.2533 | 1.8946 | 0.1939 | 0.1925 | 96.04 | | −0.0040 | 0.0389 | 0.7607 | 0.0754 | 0.0768 | 94.06 | 40 | | 0.0183 | 0.3512 | 2.3230 | 0.2385 | 0.2367 | 95.00 | | −0.2663 | 1.0665 | 3.9132 | 0.2870 | 0.2683 | 99.20 | | 0.1512 | 0.1673 | 1.4905 | 0.1475 | 0.1488 | 95.60 | 30 | | 0.1849 | 0.3970 | 2.3623 | 0.2572 | 0.2540 | 94.80 | | 0.0100 | 0.0540 | 0.9104 | 0.0840 | 0.0817 | 95.10 | | −0.0344 | 0.7091 | 3.2999 | 0.4086 | 0.4018 | 93.60 | | −0.5091 | 4.3847 | 7.9660 | 0.4242 | 0.4161 | 98.30 | | 0.1930 | 0.2781 | 1.9247 | 0.1890 | 0.1890 | 96.70 | | 0.3312 | 0.6945 | 2.9991 | 0.2559 | 0.2592 | 94.30 | | 0.0706 | 0.0991 | 1.2345 | 0.1139 | 0.1134 | 94.10 |
| 100 | 100 | | 0.0094 | 0.0397 | 0.7641 | 0.0725 | 0.0726 | 93.53 | | −0.0081 | 0.0623 | 0.9812 | 0.0983 | 0.0986 | 95.88 | | 0.0309 | 0.0348 | 0.7228 | 0.0663 | 0.0664 | 95.88 | | 0.0541 | 0.1002 | 1.2261 | 0.1169 | 0.1169 | 94.71 | | −0.0106 | 0.0082 | 0.3495 | 0.0338 | 0.0340 | 94.71 | 90 | | −0.0102 | 0.0911 | 1.1829 | 0.1255 | 0.1258 | 95.20 | | −0.0726 | 0.0746 | 1.0323 | 0.1064 | 0.1061 | 98.10 | | 0.0405 | 0.0500 | 0.8625 | 0.0962 | 0.0975 | 95.00 | | 0.0876 | 0.1327 | 1.3866 | 0.1314 | 0.1314 | 95.40 | | 0.0136 | 0.0158 | 0.4898 | 0.0517 | 0.0507 | 94.60 | 70 | | −0.0106 | 0.2094 | 1.7942 | 0.1858 | 0.1806 | 95.10 | | −0.1500 | 0.1102 | 1.1617 | 0.1116 | 0.1120 | 96.50 | | 0.0757 | 0.1098 | 1.2650 | 0.1282 | 0.1294 | 96.00 | | 0.1398 | 0.1782 | 1.5624 | 0.1573 | 0.1573 | 94.50 | | 0.0151 | 0.0230 | 0.5924 | 0.0522 | 0.0522 | 96.00 |
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