Goodness-of-fit testing for the inverse Gaussian distribution based on new entropy estimation using ranked set sampling and double ranked set sampling

Al-Omari, Amer Ibrahim; Haq, Abdul

doi:10.1186/2193-2697-1-8

Environmental Systems Research

Table 9 Power comparison for the entropy tests at the significance level α = 0.05

From: Goodness-of-fit testing for the inverse Gaussian distribution based on new entropy estimation using ranked set sampling and double ranked set sampling

n	m	Lognormal (0,2)			Beta (2,2)			Beta (5,2)
		SRS	RSS	DRSS	SRS	RSS	DRSS	SRS	RSS	DRSS
10	1	0.1347	0.1595	0.1806	0.1758	0.1990	0.2343	0.1436	0.1667	0.1823
	2	0.1576	0.1849	0.2383	0.2208	0.2925	0.4210	0.2027	0.2649	0.3855
	3	0.1177	0.1532	0.1853	0.2341	0.3255	0.4670	0.2443	0.3276	0.5106
	4	0.0667	0.0894	0.0936	0.1871	0.2774	0.3626	0.2303	0.3554	0.4872
	5	0.0262	0.0267	0.0241	0.0910	0.1194	0.1480	0.1644	0.2462	0.3241
20	1	0.2802	0.3461	0.3535	0.3543	0.4343	0.4556	0.2923	0.3556	0.3693
	2	0.3447	0.4144	0.4731	0.4954	0.5982	0.7032	0.4418	0.5150	0.6393
	3	0.3504	0.4282	0.4726	0.5214	0.6633	0.7879	0.4817	0.6162	0.7499
	4	0.3037	0.3743	0.4325	0.5056	0.6472	0.7819	0.4799	0.6238	0.7869
	5	0.2402	0.3071	0.3379	0.4875	0.6170	0.7554	0.4742	0.6288	0.7809
	6	0.1870	0.2164	0.2338	0.4256	0.5471	0.6569	0.4546	0.5935	0.7156
	7	0.1251	0.1346	0.1326	0.3672	0.4858	0.5137	0.4299	0.5452	0.6399
	8	0.0669	0.0671	0.0720	0.2603	0.3153	0.3578	0.3735	0.4543	0.5274
	9	0.0324	0.0317	0.0323	0.1594	0.1886	0.2044	0.3094	0.3651	0.4164
	10	0.0116	0.0126	0.0136	0.0868	0.0973	0.0967	0.2227	0.2661	0.2867
30	1	0.4096	0.4578	0.4737	0.5287	0.5856	0.6167	0.4344	0.4767	0.5121
	2	0.5141	0.5748	0.6309	0.7055	0.7838	0.8603	0.6237	0.7156	0.7936
	3	0.5292	0.6032	0.6622	0.7543	0.8437	0.9182	0.6911	0.7996	0.8857
	4	0.5187	0.6013	0.6542	0.7542	0.8670	0.9382	0.6993	0.8376	0.9258
	5	0.4831	0.5571	0.5990	0.7308	0.8530	0.9339	0.7030	0.8398	0.9240
	6	0.4209	0.4965	0.5441	0.7038	0.8338	0.9185	0.6877	0.8228	0.9141
	7	0.3574	0.4220	0.4439	0.6584	0.7854	0.8702	0.6559	0.7989	0.8874
	8	0.2916	0.3275	0.3447	0.5932	0.7100	0.7995	0.6239	0.7564	0.8375
	9	0.2172	0.2460	0.2466	0.5197	0.6383	0.7055	0.5672	0.7001	0.7779
	10	0.1442	0.1705	0.1664	0.4502	0.5295	0.5999	0.5433	0.6273	0.7271
	11	0.1055	0.1037	0.0977	0.3810	0.4140	0.4532	0.4848	0.5615	0.6114
	12	0.0549	0.0555	0.0599	0.2764	0.2975	0.3117	0.4196	0.4751	0.5126
	13	0.0311	0.0288	0.0285	0.1922	0.2188	0.2187	0.3449	0.4049	0.4171
	14	0.0129	0.0148	0.0148	0.1130	0.1356	0.1376	0.2720	0.3261	0.3560
	15	0.0067	0.0070	0.0070	0.0824	0.0830	0.0822	0.2466	0.2687	0.2729

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