Sequential Test for a Mixture of Finite Exponential Distribution

Table 6

Power results for estimated number of finite exponential components at .

		K = 4
		1	2	3	4	5	1	2	3	4	5
		N = 20					N = 50
(0.8, 0.05, 0.11, 0.99, 0.17, 2, 4)	0.01	—	—	—	—	—	0.992	0.996	0.99	0.994	0.99
	0.025	—	—	—	—	—	0.986	0.988	0.99	0.98	0.968
	0.05	—	—	—	—	—	0.976	0.978	0.95	0.964	0.956
	0.1	—	—	—	—	—	0.93	0.912	0.894	0.94	0.92
	0.2	—	—	—	—	—	0.85	0.82	0.85	0.87	0.826
(0.7, 0.2, 0.05, 0.77, 0.95, 2, 3.5)	0.01	—	—	—	—	—	0.996	0.998	0.99	0.992	0.996
	0.025	—	—	—	—	—	0.984	0.992	0.99	0.99	0.988
	0.05	—	—	—	—	—	0.978	0.982	0.98	0.972	0.982
	0.1	—	—	—	—	—	0.95	0.952	0.918	0.952	0.956
(0.8, 0.15, 0.01, 1, 2.5, 3.15, 4)	0.01	—	—	—	—	—	0.992	0.998	0.992	0.986	0.984
	0.025	—	—	—	—	—	0.976	0.992	0.964	0.964	0.972
	0.05	—	—	—	—	—	0.962	0.972	0.932	0.934	0.938
	0.1	—	—	—	—	—	0.944	0.928	0.884	0.898	0.914
	0.2	—	—	—	—	—	0.85	0.832	0.792	0.812	0.824
	0.5	—	—	—	—	—	0.606	0.568	—	0.544	0.54
		N = 75					N = 100
(0.8, 0.05, 0.11, 0.99, 0.17, 2, 4)	0.01	0.994	0.996	1	0.992	0.998	0.996	0.994	1	0.994	0.996
	0.025	0.992	0.992	0.992	0.986	0.992	0.992	0.992	0.996	0.992	0.986
	0.05	0.97	0.978	0.988	0.98	0.978	0.982	0.986	0.98	0.982	0.97
	0.1	0.936	0.934	0.97	0.942	0.942	0.962	0.952	0.97	0.964	0.944
	0.2	0.878	0.86	0.892	0.874	0.886	0.906	0.906	0.922	0.902	0.868
	0.5	—	—	—	—	—	0.606	0.636	0.674	0.664	0.598
(0.7, 0.2, 0.05, 0.77, 0.95, 2, 3.5)	0.01	0.998	0.994	0.994	1	1	0.998	1	0.998	1	0.998
	0.025	0.998	0.984	0.99	0.998	0.992	0.994	0.996	0.998	1	0.998
	0.05	0.992	0.978	0.984	0.98	0.988	0.984	0.986	0.978	0.99	0.984
	0.1	0.976	0.96	0.958	0.95	0.97	0.97	0.972	0.95	0.972	0.966
	0.2	0.926	0.904	0.906	0.89	0.912	0.934	0.942	0.91	0.924	0.912
	0.5	—	—	—	—	—	0.76	0.738	0.66	0.74	0.638
	(0.8, 0.15, 0.01, 1, 2.5, 3.15, 4)	0.01	0.992	0.996	0.992	0.994	0.996	1	0.998	1	0.998	1
0.025		0.99	0.982	0.984	0.988	0.986	1	0.998	1	0.994	0.994
0.05		0.984	0.974	0.968	0.982	0.974	0.988	0.988	0.99	0.988	0.98
0.1		0.946	0.938	0.942	0.952	0.956	0.956	0.956	0.966	0.98	0.954
0.2		0.88	0.862	0.884	0.888	0.898	0.898	0.872	0.902	0.924	0.876
0.5		0.648	0.576	0.616	0.616	0.56	0.652	0.634	0.632	0.65	0.642
0.8		—	—	—	—	—	0.382	0.312	0.362	0.336	0.318
0.9		—	—	—	—	—	0.208	0.184	0.226	0.192	0.218