Research Article
New Weighted Burr XII Distribution: Statistical Properties, Applications, and Regression
| n | Parameter | I: = 6.85, = 0.10, = 0.50 | II: = 10.65, = 6.10, = 10.50 | III: = 1.65, = 1.90, = 6.50 | AB | RMSE | AB | RMSE | AB | RMSE |
| 50 | | −1.5913 | 2.1356 | 1.1832 | 7.1186 | 0.8491 | 4.1517 | | 0.3191 | 0.7798 | 0.3079 | 1.1701 | 0.1043 | 1.5802 | | −0.2135 | 0.2571 | −0.2841 | 1.0615 | 0.3718 | 3.3300 |
| 100 | | 1.7718 | 2.5905 | 0.6330 | 7.9682 | 0.8389 | 3.9530 | | −0.0076 | 0.0213 | 1.3033 | 3.1003 | −0.0291 | 1.3054 | | 0.1162 | 0.2155 | −0.6349 | 1.7717 | 0.2448 | 2.4441 |
| 150 | | 0.0324 | 1.2733 | 0.0324 | 1.2734 | 0.5711 | 3.2103 | | 0.0108 | 0.0468 | 0.1374 | 1.7029 | −0.0034 | 1.1086 | | 0.0220 | 0.1550 | −0.1377 | 1.4706 | 0.1301 | 2.0427 |
| 200 | | −0.0261 | 0.7855 | 1.3514 | 7.8902 | 0.4383 | 2.5582 | | 0.0347 | 0.0729 | 1.3073 | 3.0935 | −0.0452 | 0.9946 | | −0.0402 | 0.1925 | −0.4977 | 1.8115 | 0.1107 | 1.7736 |
| 250 | | 1.1190 | 1.8270 | 1.4778 | 8.2049 | 0.3693 | 2.1327 | | 0.0101 | 0.0439 | 0.6561 | 1.9062 | −0.0679 | 0.9441 | | 0.0385 | 0.1740 | −0.3780 | 1.7054 | 0.0295 | 1.6772 |
| 300 | | 0.3728 | 1.3912 | 0.4715 | 7.0629 | 0.2919 | 1.9030 | | 0.0195 | 0.0409 | 0.8568 | 2.2707 | −0.0316 | 0.8298 | | −0.0357 | 0.1590 | −0.3984 | 1.4509 | 0.0541 | 1.5455 |
| 350 | | 0.4073 | 1.0639 | −2.7935 | 6.6380 | 0.2249 | 1.5689 | | 0.0103 | 0.0446 | 1.8828 | 3.0989 | −0.0242 | 0.7604 | | 0.1590 | 0.0240 | −0.9480 | 1.5690 | 0.0614 | 1.3707 |
| 500 | | 0.4397 | 1.0547 | −0.2573 | 5.7444 | 0.1156 | 1.1918 | | 0.0125 | 0.0306 | 0.6320 | 1.4910 | −0.0049 | 0.6104 | | −0.0152 | 0.1335 | −0.3102 | 1.2754 | 0.0049 | 1.1232 |
| 600 | | 0.2089 | 1.0249 | 0.0530 | 5.2173 | 0.0989 | 0.7007 | | 0.0072 | 0.0179 | 0.4432 | 1.3874 | −0.0523 | 0.5460 | | −0.0226 | 0.0839 | −0.3068 | 1.1778 | 0.0829 | 1.0102 |
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