Table 5.

Values of the considered measures for Data Set I.

Distribution	GLET-GTII	GIWD	Frechet	AGT-II	GT-II	EB-XII
$W\ast$	0.10657	0.28434	0.28433	0.28444	0.28434	0.23364
$A\ast$	0.79738	1.75835	1.75829	1.75861	1.75835	1.48713
$K-S$	0.08904	0.12843	0.12845	0.12888	0.12843	0.11457
p-value	0.67210	0.22640	0.22620	0.22290	0.22640	0.35170
AIC	656.367	668.203	666.203	670.162	666.203	664.695
CAIC	657.023	668.590	666.394	670.818	666.397	665.082
BIC	665.126	674.772	670.583	678.921	670.583	671.264
HQIC	659.828	670.799	667.934	673.623	667.934	667.291