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 8 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	Exponential (1)			Uniform (0,1)			Weibull (2,1)
		SRS	RSS	DRSS	SRS	RSS	DRSS	SRS	RSS	DRSS
10	1	0.1869	0.2330	0.2559	0.4089	0.5078	0.5921	0.1059	0.1238	0.1346
	2	0.2167	0.2776	0.3610	0.4874	0.6422	0.8381	0.1269	0.1640	0.2240
	3	0.1960	0.2562	0.3242	0.4796	0.6398	0.8455	0.1261	0.1659	0.2230
	4	0.1366	0.1875	0.1981	0.3735	0.5284	0.6825	0.0961	0.1391	0.1593
	5	0.0629	0.0750	0.0780	0.1897	0.2481	0.3011	0.0460	0.0574	0.0622
20	1	0.3805	0.4530	0.4682	0.7665	0.8704	0.9186	0.1874	0.2311	0.2351
	2	0.4584	0.5375	0.6152	0.8661	0.9528	0.9930	0.2566	0.3062	0.3597
	3	0.4713	0.5680	0.6360	0.8873	0.9716	0.9970	0.2625	0.3341	0.3890
	4	0.4179	0.5201	0.6027	0.8711	0.9680	0.9968	0.2299	0.2964	0.3552
	5	0.3829	0.4685	0.5284	0.8346	0.9484	0.9944	0.2095	0.2648	0.3106
	6	0.3094	0.3855	0.4221	0.8024	0.9211	0.9802	0.1682	0.2106	0.2364
	7	0.2377	0.2899	0.3074	0.7229	0.8564	0.9312	0.1368	0.1611	0.1635
	8	0.1660	0.1827	0.1942	0.5806	0.7019	0.7954	0.0877	0.0955	0.0963
	9	0.1022	0.1131	0.1132	0.4095	0.4875	0.5456	0.0600	0.0581	0.0633
	10	0.0538	0.0615	0.0638	0.2145	0.2585	0.2627	0.0297	0.0328	0.0346
30	1	0.5400	0.5913	0.6094	0.9188	0.9660	0.9851	0.2729	0.3091	0.3125
	2	0.6402	0.7097	0.7585	0.9724	0.9960	0.9997	0.3776	0.4276	0.4669
	3	0.6734	0.7431	0.7941	0.9832	0.9982	0.9999	0.4116	0.4605	0.5075
	4	0.6510	0.7374	0.7959	0.9804	0.9989	1.0000	0.3941	0.4650	0.5156
	5	0.6252	0.7048	0.7711	0.9800	0.9979	0.9999	0.3636	0.4324	0.4829
	6	0.5763	0.6583	0.7229	0.9690	0.9978	0.9998	0.3109	0.3757	0.4322
	7	0.5170	0.6015	0.6531	0.9558	0.9940	0.9995	0.2795	0.3274	0.3575
	8	0.4526	0.5237	0.5565	0.9392	0.9875	0.9982	0.2166	0.2672	0.2778
	9	0.3843	0.4356	0.4609	0.8973	0.9730	0.9949	0.1768	0.2066	0.2134
	10	0.3102	0.3424	0.3547	0.8673	0.9445	0.9823	0.1421	0.1438	0.1592
	11	0.2440	0.2528	0.2585	0.7882	0.8763	0.9285	0.1066	0.1070	0.1020
	12	0.1772	0.1788	0.1785	0.6678	0.7474	0.8160	0.0713	0.0697	0.0660
	13	0.1117	0.1218	0.1141	0.5201	0.6034	0.6372	0.0447	0.0501	0.0502
	14	0.0697	0.0774	0.0800	0.3516	0.4083	0.4327	0.0269	0.0363	0.0288
	15	0.0477	0.0448	0.0522	0.2284	0.2458	0.2411	0.0231	0.0261	0.0197

Back to article page