Stress-Strength Reliability for Exponentiated Inverted Weibull Distribution with Application on Breaking of Jute Fiber and Carbon Fibers

Table 2

Mean and MSE for parameter and stress-strength reliability for EIW distribution with different sample size: Case 2.

						R				R				R				R
0.4	MLE	Mean	3.2053	0.4014	0.9253	0.8851	3.1786	0.3953	0.9287	0.8862	3.1287	0.4009	0.9197	0.8842	3.0716	0.4026	0.9133	0.8826
		MSE	0.4749	0.0068	0.0086	0.0010	0.4206	0.0059	0.0076	0.0009	0.2637	0.0041	0.0053	0.0006	0.1724	0.0036	0.0040	0.0005
	MPSE	Mean	2.9079	0.3779	0.9167	0.8813	2.9143	0.3749	0.9200	0.8828	2.9277	0.3858	0.9107	0.8813	2.9203	0.3909	0.9057	0.8804
		MSE	0.3645	0.0064	0.0084	0.0010	0.3292	0.0059	0.0073	0.0009	0.2188	0.0040	0.0050	0.0006	0.1552	0.0034	0.0038	0.0005
	MSADE	Mean	2.9214	0.5592	0.7587	0.8375	2.9088	0.5181	0.7894	0.8463	2.9256	0.4886	0.8104	0.8545	2.9095	0.4515	0.8424	0.8635
		MSE	0.3840	0.0847	0.0532	0.0060	0.3938	0.0592	0.0412	0.0047	0.2788	0.0330	0.0269	0.0030	0.2062	0.0123	0.0129	0.0015
	MSALDE	Mean	2.9212	0.4160	0.8712	0.8707	2.9121	0.4073	0.8824	0.8733	2.9187	0.4129	0.8797	0.8729	2.9308	0.4113	0.8828	0.8749
		MSE	0.4403	0.0101	0.0116	0.0016	0.3869	0.0085	0.0103	0.0013	0.2825	0.0063	0.0073	0.0011	0.1981	0.0051	0.0054	0.0008
	LSE	Mean	3.0273	0.4158	0.8858	0.8741	3.0334	0.4078	0.8924	0.8766	3.0265	0.4088	0.8933	0.8777	3.0005	0.4082	0.8953	0.8779
		MSE	0.5115	0.0079	0.0115	0.0014	0.5047	0.0067	0.0093	0.0013	0.3067	0.0050	0.0072	0.0009	0.2222	0.0042	0.0053	0.0007
	WLSE	Mean	3.0998	0.4103	0.9021	0.8782	3.0922	0.4028	0.9071	0.8803	3.0786	0.4047	0.9062	0.8810	3.0396	0.4049	0.9051	0.8805
		MSE	0.5286	0.0075	0.0102	0.0013	0.4903	0.0064	0.0084	0.0011	0.2912	0.0047	0.0061	0.0008	0.2046	0.0039	0.0046	0.0006
	CME	Mean	3.2332	0.4054	0.9255	0.8831	3.2120	0.3986	0.9272	0.8844	3.1515	0.4022	0.9183	0.8834	3.0891	0.4033	0.9135	0.8821
		MSE	0.7092	0.0080	0.0133	0.0013	0.6686	0.0069	0.0109	0.0012	0.3789	0.0050	0.0080	0.0009	0.2562	0.0042	0.0058	0.0006
	ADE	Mean	2.7429	0.4821	0.8131	0.8462	2.6222	0.4879	0.7865	0.8392	2.4637	0.5053	0.7417	0.8274	2.3850	0.5079	0.7239	0.8227
		MSE	0.3628	0.0153	0.0157	0.0029	0.3866	0.0151	0.0194	0.0033	0.4131	0.0162	0.0296	0.0041	0.4649	0.0157	0.0344	0.0044
2	MLE	Mean	3.2020	2.0834	0.9255	0.6023	3.1916	2.0616	0.9265	0.6045	3.1297	2.0609	0.9160	0.6010	3.0899	2.0468	0.9129	0.6008
		MSE	0.5430	0.1455	0.0086	0.0038	0.4391	0.1066	0.0072	0.0032	0.3000	0.0888	0.0050	0.0023	0.1536	0.0635	0.0038	0.0016
	MPSE	Mean	2.9078	1.9305	0.9170	0.5974	2.9284	1.9252	0.9185	0.6004	2.9313	1.9522	0.9080	0.5983	2.9375	1.9607	0.9055	0.5990
		MSE	0.4307	0.1208	0.0084	0.0038	0.3388	0.0944	0.0070	0.0031	0.2509	0.0770	0.0048	0.0023	0.1331	0.0568	0.0037	0.0016
	MSADE	Mean	2.9405	2.0430	0.7548	0.5852	2.9342	2.0228	0.7748	0.5890	2.9056	2.0005	0.8134	0.5902	2.9083	2.0042	0.8375	0.5908
		MSE	0.5834	0.1433	0.0581	0.0052	0.3819	0.1279	0.0458	0.0042	0.2873	0.0998	0.0249	0.0032	0.2127	0.0859	0.0133	0.0026
	MSALDE	Mean	2.9186	1.9557	0.8715	0.5945	2.9174	1.9440	0.8805	0.5965	2.9185	1.9645	0.8781	0.5952	2.9253	1.9774	0.8800	0.5956
		MSE	0.5077	0.1354	0.0114	0.0046	0.4118	0.1127	0.0090	0.0039	0.2998	0.0888	0.0070	0.0028	0.1693	0.0699	0.0051	0.0021
	LSE	Mean	3.0229	2.0093	0.8855	0.5962	3.0341	2.0046	0.8929	0.5983	3.0183	2.0074	0.8899	0.5985	3.0130	2.0181	0.8947	0.5975
		MSE	0.5768	0.1531	0.0107	0.0045	0.4872	0.1232	0.0088	0.0038	0.3191	0.1065	0.0066	0.0027	0.2120	0.0788	0.0051	0.0021
	WLSE	Mean	3.0951	2.0375	0.9017	0.5984	3.0977	2.0276	0.9068	0.6005	3.0720	2.0313	0.9024	0.5998	3.0549	2.0351	0.9048	0.5990
		MSE	0.5913	0.1455	0.0096	0.0044	0.4918	0.1121	0.0080	0.0036	0.3177	0.0979	0.0057	0.0026	0.1933	0.0719	0.0044	0.0019
	CME	Mean	3.2290	2.1025	0.9251	0.6006	3.2123	2.0851	0.9277	0.6022	3.1428	2.0647	0.9148	0.6012	3.1019	2.0600	0.9130	0.5995
		MSE	0.7932	0.1973	0.0123	0.0049	0.6467	0.1538	0.0104	0.0040	0.3902	0.1248	0.0071	0.0029	0.2465	0.0895	0.0055	0.0021
	ADE	Mean	2.7363	2.0452	0.8123	0.5692	2.6301	1.9800	0.7864	0.5679	2.4633	1.8918	0.7389	0.5642	2.3933	1.8481	0.7234	0.5635
		MSE	0.4053	0.1175	0.0156	0.0047	0.3877	0.0785	0.0192	0.0040	0.4310	0.0675	0.0303	0.0032	0.4488	0.0604	0.0342	0.0027