Marginalized mixture models for count data from multiple source populations

Journal of Statistical Distributions and Applications

Table 1 Percent relative median biases of estimates of β ₁, β ₂ and β ₃ from marginalized mixture models fitted to data generated from the MPois-Pois model with 10,000 replications

Sample size	Parameter	Poisson	MZIP	MPois-Pois	NB	MZINB	MNB-Pois
100	β ₁	2.03	1.40	−2.04	2.18	0.97	0.56
	β ₂	0.77	−3.11	0.08	1.00	−3.45	1.54
	β ₃	−0.30	−0.61	−0.70	−0.26	−0.74	−0.33
200	β ₁	0.97	1.70	−0.68	1.38	1.89	1.34
	β ₂	−0.02	−2.64	−0.69	0.08	−2.65	0.62
	β ₃	0.15	−0.43	−0.29	−0.09	−0.41	0.06
500	β ₁	−0.68	−0.36	−0.87	−0.79	−1.18	0.07
	β ₂	0.04	−1.51	0.11	0.09	−1.44	0.78
	β ₃	0.08	−0.16	−0.14	0.05	−0.11	0.19
1000	β ₁	−0.14	−0.37	−0.40	−0.07	−0.64	0.43
	β ₂	0.48	−1.43	0.27	0.50	−0.91	0.88
	β ₃	0.09	−0.08	0.06	0.07	−0.07	0.22