Table 7.

The results of fitted regression models with model selection criteria.

	Beta			Kumaraswamy			QULL
Parameters	Estimate	SE	p-value	Estimate	SE	p-value	Estimate	SE	p-value
${\delta }_0$	4.2848	2.2225	0.0539	4.1502	2.6431	0.1160	3.7045	1.6605	0.0257
${\delta }_1$	−0.0023	0.0044	0.5959	-0.0022	0.0049	0.6610	0.0006	0.0032	0.8326
${\delta }_2$	−2.3621	1.4070	0.0932	−2.0358	1.5285	0.1830	−3.6571	1.2012	0.0023
${\delta }_3$	2.4081	1.2923	0.0624	1.8510	1.4455	0.2000	3.2791	1.0966	0.0028
α	18.3700	4.2690	<0.001	9.4613	1.5970	<0.001	1.4678	0.2027	<0.001
$\hat{\ell }$	43.4644			41.2637			45.9808
Vuong (p-value)	3.3197 (0.0004)			1.8053 (0.0355)			–