Research Article

The Exponentiated Half-Logistic Family of Distributions: Properties and Applications

Table 2

MLEs of the model parameters for the tubercle data, the corresponding SEs (given in parentheses) and the statistics AIC, CAIC, and BIC.

Model AIC CAIC BIC

EHLF 3.5736 22.0208 0.2963 1248.81 787.9
788.5
797.0
(2.4999) (3.3821) (0.1909) (847.78)
Fréchet 1.4148 54.1888 795.3
795.5
799.9
(0.1173) (0.7874)


EHLLL 0.2879 0.1938 67.7085 8.6238 784.7
785.3
793.8
(0.1173) (0.1085) (7.8493) (3.3236)
LL 75.2758 2.5404 783.9
784.1
788.5
(6.0174) (0.2537)


EHLGHN 19.3763 4.3720 0.3165 128.87 788.2
788.8
797.3
(12.7017) (2.0573) (0.0662) (138.49)
GHN 1.0164 129.24 807.5
807.6
812.0
(0.0912) (11.8973)


BW 5098.72 0.3662 15.0280 60.7976 790.3
790.9
799.4
(875.79) (0.1882) (5.2590) (8.4854)


-BS 1.1519 316.10 0.6513 4.1942 789.1
789.7
798.2
(0.0743) (101.04) (0.0324) (0.4878)