Generalized fiducial inference on the mean of zero-inflated Poisson and Poisson hurdle models

Journal of Statistical Distributions and Applications

Table 1 Estimated coverage probabilities and median widths for the GCIs and bootstrap confidence intervals for the means generated from different ZIP distributions used in our simulation study

n	λ	π	Bootstrap		Fiducial
			Cov. Prob.	Med. Width	Cov. Prob.	Med. Width
15	1	0.2	0.905	0.867	0.961	1.037
		0.5	0.902	0.800	0.978	0.973
		0.8	0.853	0.400	0.980	0.933
	5	0.2	0.926	2.733	0.959	2.839
		0.5	0.918	2.800	0.952	2.915
		0.8	0.880	2.067	0.974	2.455
30	1	0.2	0.920	0.667	0.953	0.716
		0.5	0.912	0.567	0.960	0.649
		0.8	0.878	0.367	0.976	0.521
	5	0.2	0.934	1.967	0.948	2.002
		0.5	0.936	2.067	0.952	2.079
		0.8	0.918	1.533	0.957	1.636
100	1	0.2	0.943	0.380	0.950	0.384
		0.5	0.941	0.330	0.950	0.343
		0.8	0.936	0.230	0.958	0.248
	5	0.2	0.950	1.100	0.952	1.101
		0.5	0.944	1.150	0.947	1.147
		0.8	0.943	0.870	0.952	0.876