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Table 5 Parameter estimates for the annual flow of the Nile River data

From: The generalized Cauchy family of distributions with applications

Distribution Cauchy Gamma-Pareto Beta-Cauchy Gamma-Cauchy{exponential}
Parameter
Estimates
ĉ = 879.3679
(17.3969)a
\( \widehat{\theta} \) = 103.8804
(13.44841)
\( \widehat{\alpha} \) = 5.0437
(0.6902)
ĉ = 0.1357
(0.0195)
\( \widehat{\theta} \) = 456
\( \widehat{\alpha} \) = 50.9201
(66.0939)
\( \widehat{\beta} \) = 25.1275
(29.7478)
ĉ = 712.2062
(445.6252)
\( \widehat{\theta} \) = 482.3092
(361.7110)
\( \widehat{\alpha} \) = 322.5715
(6.4901)
\( \widehat{\beta} \) = 0.0103
(0.0003)
\( \widehat{\theta} \) = 103.5797
(76.1343)
Log-likelihood -674.4637 -696.7975 -653.4892 -654.3825
AIC 1352.9270 1397.5950 1314.9780 1314.7650
K-S 0.1311 0.1705 0.0736 0.0637
K-S p-value 0.0642 0.0060 0.6515 0.8120
  1. astandard error