Table 4 MLEs, their standard errors (in parentheses) and Goodness-of-fit statistics for data set I
From: On Burr III Marshal Olkin family: development, properties, characterizations and applications
Model | α | β | λ | a | b | W* | A* | K-S (p-value) |
|---|---|---|---|---|---|---|---|---|
BIIIMO-W | 0.0778 (0.0535) | 61.6872 (50.1271) | 15.3084 (8.1416) | – | 0.1597 (0.0214) | 0.0223 | 0.1689 | 0.0657 (0.9952) |
WMO-W | – | 1.4827 (0.8886) | 19.8894 (50.0788) | 0.0100 (0.0090) | 0.8196 (0.0880) | 0.1010 | 0.6747 | 0.0917 (0.8897) |
OBIII-W | 8.3649 (1.9540) | 0.3518 (0.2383) | – | 0.0071 (0.0027) | 0.9864 (0.1077) | 0.2146 | 1.3316 | 0.1349 (0.4609) |
Kum.-W | 5.3277 (1.4325) | 1.0881 (0.6411) | – | 0.0071 (0.0028) | 0.8185 (0.0713) | 0.4722 | 2.7197 | 0.8567 (< 2.2e-16) |
Beta-W | 686.6493 (275.8812) | 117.5352 (76.0463) | – | 11.0073 (15.0129) | 0.0705 (0.0154) | 0.4182 | 2.4380 | 0.1769 (0.1637) |
GG-W | 20.12230 (2.7548) | 0.9595 (0.2615) | – | 2.4800 (0.1540) | 0.3978 (0.1058) | 0.3531 | 2.0916 | 0.1749 (0.1729) |
Weibull | – | – | – | 0.0743 (0.3914) | 1.9547 (10.3026) | 0.4920 | 2.8243 | 0.5085 (2.069e-09) |
BIII | – | – | – | 1000.0297 (545.5985) | 1.0548 (0.0879) | 0.6829 | 3.8003 | 0.3005 (0.001459) |