Research Article
New Weighted Burr XII Distribution: Statistical Properties, Applications, and Regression
Table 4
MLEs and goodness-of-fit statistics for data 2.
| Distribution | Parameter | Estimates (standard error) | LL | AIC | BIC | AICc | CVM | AD | KS |
| MAPTBXII | | 0.6254 (0.5596) | −14.82152 | 35.6431 | 39.3000 | 36.7859 | 0.0134 (0.9999) | 0.0988 (0.9999) | 0.0658 (0.9999) | | 2.6675 (0.6979) | | | | | | | | | 1.2310 (1.0149) | | | | | | | |
| TLBXII | | 3.0443 (7.3218) | −14.94482 | 35.8896 | 39.4463 | 36.6325 | 0.013647 (0.9999) | 0.10498 (0.9891) | 0.0681 (0.9998) | c | 1.3370 (1.3994) | | | | | | | | k | 1.6508 (1.6972) | | | | | | | |
| WBXII | | 4.0853 (5.7271) | −14.9478 | 37.8956 | 42.7711 | 39.8956 | 0.0197 (0.9978) | 0.1288 (0.9967) | 0.0899 (0.9574) | c | 0.2537 (1.0058) | | | | | | | | k | 3.0761 (11.5223) | | | | | | | | | 0.5274 (0.8721) | | | | | | | |
| INW | | −0.9218 (0.4865) | −14.8267 | 35.6544 | 39.3100 | 36.7963 | 0.1929 (0.9789) | 0.1009 (0.9620) | 0.070126 (0.9567) | c | 4.4347 (1.5007) | | | | | | | | k | 0.1682 (0.3402) | | | | | | | |
| EEBXII | | 1.8269 (2.0841) | −14.7537 | 37.5073 | 42.3828 | 39.5073 | 0.0135 (0.9999) | 0.1039 (0.9999) | 0.0720 (0.9999) | | 0.1951 (0.2949) | | | | | | | | | 1.9949 (0.7099) | | | | | | | | | 10.3041 (14.3761) | | | | | | | |
| Cauchy | | 0.2466 (0.0655) | −19.8268 | 43.6537 | 46.0914 | 44.1991 | 0.1077 (0.5518) | 0.1077 (0.5518) | 0.1484 (0.6411) | c | 0.6602 (0.0766) | | | | | | | |
| IGD | | 0.3864 (0.1193) | −19.2401 | 42.4802 | 44.9179 | 43.0256 | 0.1704 (0.3346) | 1.1093 (0.3041) | 0.1726 (0.4457) | | 0.2533 (0.1334) | | | | | | | |
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