Research Article
New Weighted Burr XII Distribution: Statistical Properties, Applications, and Regression
Table 3
MLEs and goodness-of-fit statistics for data 1.
| Distribution | Parameter | Estimates (standard error) | LL | AIC | BIC | AICc | CVM | AD | KS |
| MAPTBXII | | 3.5493 (3.42083) | −38.67247 | 83.34494 | 87.54853 | 84.26801 | 0.0179 (0.9988) | 0.1289 (0.9996) | 0.0695 (0.9987) | | 1.9921 (0.4788) | | | | | | | | | 1.7503 (0.6556) | | | | | | | |
| TLBXII | | 3.6562 (4.5116) | −39.3226 | 84.6453 | 88.8489 | 85.5683 | 0.0498 (0.8813) | 0.3116 (0.9286) | 0.1071 (0.8814) | c | 1.4767 (0.9438) | | | | | | | | k | 0.9366 (0.7727) | | | | | | | |
| WBXII | | 1.7914 (1.0932) | −38.1390 | 84.2779 | 89.8827 | 85.8779 | 0.0198 (0.9969) | 0.1012 (0.9281) | 0.0590 (0.9110) | c | 0.3592 (0.2740) | | | | | | | | k | 1.9329 (3.0939) | | | | | | | | | 1.4312 (0.7448) | | | | | | | |
| INW | | −1.2170 (0.6186) | −39.0394 | 84.0788 | 88.2824 | 85.0018 | 0.0198 (0.9561) | 0.1909 (0.9320) | 0.0901 (0.9190) | c | 3.5163 (0.9899) | | | | | | | | k | 0.0494 (0.0860) | | | | | | | |
| EEBXII | | 6.5384 (5.1732) | −38.5193 | 85.0386 | 90.6434 | 86.6386 | 0.0262 (0.9882) | 0.1703 (0.9966) | 0.0880 (0.9743) | | 0.38550 (3.0890) | | | | | | | | | 0.8343 (0.3642) | | | | | | | | | 1.6775 (0.9982) | | | | | | | |
| Cauchy | | 0.54696 (0.12694) | −45.42425 | 94.8485 | 97.6509 | 95.29293 | 0.0982 (0.5970) | 0.7734 (0.4994) | 0.1464 (0.5407) | c | 1.42381 (0.16552) | | | | | | | |
| IGD | | 0.8155 (0.2265) | −44.7779 | 93.5558 | 96.3582 | 94.0002 | 0.2199 (0.2324) | 1.4123 (0.1989) | 0.1945 (0.2066) | | 0.4408 (0.2389) | | | | | | | |
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