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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
  1. astandard error