An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study

Table 7

The bias, MSE, CP, L.bound, and U.bound obtained from simulation of ECW model.

		Initial	Bias	MSE	CP	L.bound	U.bound	Initial	Bias	MSE	CP	L.bound	U.bound
50		2.0	5.514	621.443	0.93	88.695	103.723	2.5	6.748	393.707	0.94	138.835	157.332
		1.5	2.621	60.221	0.98	50.665	58.908	3.5	3.295	456.436	0.91	178.791	192.380
		0.5	0.373	0.999	0.88	1.304	3.050	1.5	0.181	1.846	0.88	2.012	5.375
		1.2	0.098	0.454	0.98	0.180	2.618	2.2	0.474	2.170	1.00	0.436	5.605
100		2.0	1.961	77.440	0.94	20.849	28.770	2.5	5.372	250.029	0.96	61.020	76.764
		1.5	2.675	21.293	0.97	36.446	44.795	3.5	2.565	188.506	0.90	84.615	96.745
		0.5	0.210	0.392	0.90	0.525	1.944	1.5	0.227	1.197	0.92	0.851	4.305
		1.2	0.028	0.168	0.96	0.381	2.077	2.2	0.138	0.703	0.99	0.586	4.128
200		2.0	1.164	23.513	0.92	11.341	17.669	2.5	3.371	89.962	0.90	25.701	37.443
		1.5	2.418	20.113	0.94	26.634	34.471	3.5	2.124	30.753	0.88	49.610	60.858
		0.5	0.127	0.143	0.95	0.156	1.408	1.5	0.177	0.557	0.96	0.181	3.413
		1.2	−0.012	0.072	0.97	0.614	1.763	2.2	0.019	0.306	0.98	1.013	3.425
300		2.0	0.919	14.153	0.93	9.100	14.938	2.5	3.660	87.361	0.95	21.762	34.082
		1.5	2.130	15.485	0.94	20.101	27.361	3.5	1.579	22.705	0.84	35.641	45.799
		0.5	0.101	0.088	0.96	0.069	1.222	1.5	0.139	0.377	0.97	0.298	3.018
		1.2	−0.022	0.046	0.96	0.710	1.647	2.2	−0.005	0.186	0.98	1.219	3.171
500		2.0	0.579	8.975	0.90	6.475	11.632	2.5	2.416	42.403	0.92	14.747	24.579
		1.5	2.196	16.461	0.93	17.327	24.719	3.5	1.578	23.198	0.87	29.977	40.134
		0.5	0.067	0.044	0.97	0.108	1.035	1.5	0.107	0.207	0.96	0.554	2.679
		1.2	−0.018	0.025	0.97	0.814	1.549	2.2	−0.021	0.120	0.97	1.414	2.945
1000		2.0	0.558	6.650	0.94	5.001	10.116	2.5	2.156	34.204	0.95	10.189	19.500
		1.5	1.701	12.264	0.93	11.152	17.554	3.5	1.391	19.268	0.85	21.256	31.039
		0.5	0.050	0.022	0.98	0.218	0.884	1.5	0.077	0.099	0.98	0.813	2.341
		1.2	−0.022	0.013	0.97	0.912	1.445	2.2	−0.031	0.055	0.97	1.620	2.718