Table 5 MLEs, their standard errors (in parentheses) and Goodness-of-fit statistics for data set II
From: On Burr III Marshal Olkin family: development, properties, characterizations and applications
Model | α | β | λ | a | b | c | W* | A* | K-S (p-value) |
|---|---|---|---|---|---|---|---|---|---|
BIIIMO-L | 0.5122 (0.2016) | 1.8631 (0.5179) | 0.5600 (0.6845) | – | 0.1530 (0.1159) | – | 0.0168 | 0.1031 | 0.0307 (0.9997) |
OBIII-L | 0.7847 (0.2147) | 0.9553 (0.1586) | – | – | 0.1723 (0.0330) | – | 0.1903 | 1.1378 | 0.0934 (0.2145) |
Mc-L | 1.2106 (0.7307) | 0.2846 (0.0286) | – | – | 0.4949 (0.0028) | 0.7145 (0.5179) | 0.1444 | 0.8629 | 0.0884 (0.2704) |
Kum.-L | 0.9611 (0.1671) | 0.2825 (0.0276) | – | – | 0.5015 (0.0028) | – | 0.1344 | 0.8039 | 0.0898 (0.2529) |
Beta-L | 0.9248 (0.1301) | 0.2813 (0.0283) | – | – | 0.4949 (0.0037) | – | 0.1399 | 0.836 | 0.0894 (0.2576) |
W-PL | 0.0215 (0.0285) | 13.54214 (12.6100) | – | 0.0466 (0.0402) | 1.1848 (0.0901) | – | 0.1482 | 0.8851 | 0.0735 (0.4932) |
Kum-PL | 3.1406 (2.9576) | 1.4481 (3.0649) | – | 0.5045 (0.3671) | 0.8239 (0.3653) | – | 0.0389 | 0.2541 | 0.043 (0.9719) |
Lindley | – | – | – | – | 0.1960 (0.0123) | – | 0.1717 | 1.0257 | 0.1164 (0.06235) |
BIII | 4.2070 (0.4054) | 1.0333 (0.0604) | – | – | – | – | 0.3856 | 2.4543 | 0.1017 (0.1413) |