Table 4 Parameter estimates for the survival time data
From: The generalized Cauchy family of distributions with applications
Distribution | Cauchy | Gamma-Pareto | Beta-Cauchy | Gamma-Cauchy{exponential} |
|---|---|---|---|---|
Parameter Estimates | ĉ = 139.3079 (9.4281)a \( \widehat{\theta} \) = 48.1262 (7.6793) | \( \widehat{\alpha} \) = 6.030 (0.9770) ĉ = 0.4497 (0.0760) \( \widehat{\theta} \) = 10 | \( \widehat{\alpha} \) = 13.9274 (18.5335) \( \widehat{\beta} \) = 4.5828 (3.6504) ĉ = 117.9055 (37.6269) \( \widehat{\theta} \) = 27.0884 (99.7681) | \( \widehat{\alpha} \) = 16.1591 (2.6666) \( \widehat{\beta} \) = 0.1027 (0.0238) \( \widehat{\theta} \) = 110.1742 (35.4345) |
Log-likelihood | -437.5967 | -465.4670 | -424.4339 | -424.4423 |
AIC | 879.1934 | 934.9340 | 856.8679 | 854.8847 |
K-S | 0.1416 | 0.2606 | 0.0760 | 0.0752 |
K-S p-value | 0.1114 | 0.0001 | 0.8005 | 0.8105 |