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

Journal of Statistical Distributions and Applications

Table 4 Type I error rates and power of the SLRT and fiducial test for testing the ZIP mean under α=0.05: H₀:μ≤μ₀ versus H_a:μ>μ₀;μ=(1−π)λ;μ₀=(1−π)

λ	n	π	SLRT	Fiducial test
1	30	0.1	0.048	0.046
		0.3	0.048	0.050
		0.5	0.048	0.046
	40	0.1	0.049	0.053
		0.3	0.048	0.048
		0.5	0.046	0.050
	50	0.1	0.045	0.050
		0.3	0.046	0.053
		0.5	0.045	0.045
1.3	30	0.1	0.364	0.386
		0.3	0.295	0.296
		0.5	0.217	0.223
	40	0.1	0.479	0.471
		0.3	0.355	0.356
		0.5	0.259	0.270
	50	0.1	0.517	0.552
		0.3	0.408	0.422
		0.5	0.291	0.298
1.6	30	0.1	0.799	0.810
		0.3	0.639	0.636
		0.5	0.461	0.470
	40	0.1	0.890	0.894
		0.3	0.745	0.741
		0.5	0.560	0.562
	50	0.1	0.943	0.947
		0.3	0.820	0.821
		0.5	0.637	0.640
2	30	0.1	0.984	0.982
		0.3	0.906	0.905
		0.5	0.732	0.737
	40	0.1	0.997	0.996
		0.3	0.960	0.959
		0.5	0.838	0.833
	50	0.1	0.999	0.999
		0.3	0.983	0.983
		0.5	0.899	0.904