Table 1. MLE results from fitting GH, ZiGH, ZkiGH, ZiNB, HNB and MIP models.

	MIP2	MIP3	ZiGH	GH	ZiNB	HNB	ZkiGH
${\omega }_0$	0.5492	0.5419					0.3245
	(0.017)	(0.017)					(0.037)
${\omega }_6$	0.0301	0.0343					0.00006
	(0.007)	(0.007)					(0.0097)
${\omega }_{12}$		0.0070
		(0.003)
ω					0.00004	0.4220
					(0.001)	(0.016)
μ	2.6822	2.4454	1.9272	1.3090	1.3089	0.0001	1.9317
	(0.098)	(0.095)	(0.139)	(0.072)	(0.081)	(0.006)	(0.141)
θ			0.4723		0.3313	0.00001
			(0.076)		(0.025)	(0.001)
d			3.9769	3.9790			3.9789
			(0.117)	(0.118)			(0.145)
logL	−1735.979	−1692.839	−1373.654	−1398.334	−1479.522	−1470.443	−1373.667