Marginalized mixture models for count data from multiple source populations

Journal of Statistical Distributions and Applications

Table 4 Percent relative median biases of estimates of β ₁, β ₂ and β ₃ from marginalized mixture models fitted to data generated from the MNB-Pois model with 10,000 replications

Sample size	Parameter	Poisson	MZIP	MPois-Pois	NB	MZINB	MNB-Pois
100	β ₁	6.94	23.51	6.80	10.48	13.72	11.95
	β ₂	2.98	7.95	4.00	5.26	1.89	4.44
	β ₃	0.01	1.40	−4.35	0.80	0.88	−0.25
200	β ₁	5.27	20.12	−14.85	5.45	7.41	4.57
	β ₂	1.45	5.11	−1.12	2.49	0.07	2.02
	β ₃	0.18	1.49	−5.44	0.38	0.36	0.33
500	β ₁	0.57	11.79	−29.97	1.31	0.73	−0.75
	β ₂	0.66	2.81	−3.90	1.18	0.14	0.62
	β ₃	0.39	1.52	−7.66	0.59	0.61	0.46
1000	β ₁	1.19	10.34	−34.68	1.92	2.39	0.00
	β ₂	0.79	2.63	−4.75	1.00	0.39	0.87
	β ₃	−0.01	0.97	−10.13	0.03	−0.01	−0.19