Table 3 MLEs and the measures AIC, BIC, HQIC and CAIC
From: The power Lomax distribution with an application to bladder cancer data
Distribution | Estimates | −Log L | AIC | BIC | HQIC | CAIC |
|---|---|---|---|---|---|---|
Lomax | \(\hat{\alpha } = 13.9384\) \(\hat{\lambda } = 121.023\) | −413.835 | 831.67 | 837.37 | 833.98 | 831.80 |
MCLomax | \(\hat{\alpha } = 0.8085\) \(\hat{\beta } = 11.2929\) \(\hat{a} = 1.5060\) \(\hat{\eta } = 4.1886\) \(\hat{c} = 2.1046\) | −409.91 | 829.82 | 844.09 | 835.62 | 830.14 |
BLomax | \(\hat{\alpha } = 3.9191\) \(\hat{\beta } = 23.9281\) \(\hat{a} = 1.5853\) \(\hat{\eta } = 0.1572\) | −411.743 | 831.486 | 842.89 | 836.12 | 831.74 |
KW Lomax | \(\hat{\alpha } = 0.3911\) \(\hat{\beta } = 12.2973\) \(\hat{a} = 1.5162\) \(\hat{\eta } = 11.0323\) | −409.94 | 827.88 | 839.29 | 832.52 | 828.14 |
Exp Lomax | \(\hat{\alpha } = 1.0644\) \(\hat{\beta } = 0.08\) \(\hat{\lambda } = 0.006\) | −414.978 | 835.956 | 844.512 | 839.432 | 836.15 |
G-lomax | \(\hat{\alpha } = 4.754\) \(\hat{\beta } = 20.581\) \(\hat{a} = 1.5858\) | −410.081 | 826.162 | 834.718 | 829.638 | 826.36 |
TE-Lomax | \(\hat{\alpha } = 1.71418\) \(\hat{\gamma } = 0.05456\) \(\hat{\lambda } = 0.24401\) \(\hat{\theta } = 3.33911\) | −410.434 | 828.868 | 840.276 | 833.505 | 829.13 |
WLomax | \(\hat{\alpha } = 0.25661\) \(\hat{\beta } = 1.57945\) \(\hat{a} = 2.42151\) \(\hat{b} = 1.86389\) | −410.811 | 829.622 | 841.03 | 834.257 | 829.88 |
Ext.PLD | \(\hat{\alpha } = 0.2387\) \(\hat{\beta } = 8.04 \times 10^{ - 3}\) \(\hat{\lambda } = 59.8378\) | −413.835 | 833.67 | 842.22 | 837.14 | 833.86 |
ELomax | \(\hat{\alpha } = 4.5857\) \(\hat{\beta } = 24.7414\) \(\hat{a} = 1.5862\) | −410.07 | 826.14 | 834.70 | 829.62 | 826.33 |
Power Lomax | \(\hat{\alpha } = 2.07012\) \(\hat{\beta } = 1.4276\) \(\hat{\lambda } = 34.8626\) | −409.74 | 825.48 | 834.036 | 828.956 | 825.67 |