Fuzzy Stress-Strength Model and Mean Remaining Strength for Lindley Distribution: Estimation and Application in Cancer of Benign Endocrine

Table 1

Bias and MSE for maximum likelihood estimates and maximum product of spacing estimates of reliability parameter.

Sample size	MLE						MPS
		Bias	MSE		Bias	MSE		Bias	MSE		Bias	MSE
(5)	0.4406	-0.0059	0.0003	1.4230	-0.1465	0.2147	0.5591	0.0059	0.0003	3.7414	0.0852	0.0727
(10)	0.9201	0.0210	0.0088	2.3974	-0.0245	0.0121	0.4898	-0.0005		2.4788	-0.0204	0.0084
(30, 30)	0.9460	0.0071	0.0030	0.7930	-0.0349	0.0732	0.4726	-0.0004		2.7755	-0.0018	0.0002
(50, 50)	0.5259	0.0002		2.7242	-0.0016	0.0003	0.5744	0.0007		3.4208	0.0053	0.0028
(100, 100)	0.4542	-0.0002		2.3597	-0.0002	0.0001	0.4895	-		2.9282	0.0001
(5)	0.7143	-0.0110	0.0012	1.4744	-0.1616	0.2612	0.9688	0.00143	0.0020	5.1230	0.2033	0.4733
(10)	0.7308	-0.0047	0.0044	2.2582	-0.0402	0.0324	0.8123	-0.0006		3.9000	0.0404	0.0327
(30, 30)	0.4872	-0.0056	0.0019	0.7609	-0.0388	0.0904	0.7420	-0.0013	0.0001	2.6626	-0.0071	0.0030
(50, 50)	0.8556	0.0006		2.9229	-0.0016	0.0002	0.7882	-0.0003		3.0208	0.0007
(100, 100)	0.7871	-0.0001		2.5054	-0.0029	0.0017	0.8503	0.0001		3.6667	0.0028
(5)	0.2895	0.0164	0.0027	0.8192	0.0195	0.0038	0.1455	0.0020		0.9277	0.0303	0.0092
(10)	0.7701	0.0322	0.0207	0.8790	0.0127	0.0034	0.1150	-0.0005		0.4629	-0.0081	0.0012
(30, 30)	0.9114	0.0131	0.0103	0.6784	.0009		0.0977	-0.0004		0.6643	0.0007
(50, 50)	0.1645	0.0003		0.6877	0.0006		0.1604	0.0003		0.7097	0.0008
(100, 100)	0.1362	0.0001		0.6287			0.1385			0.7260	0.0005
(5)	0.6397	0.0139	0.0019	1.0792	-0.1780	0.3171	0.5648	0.0064	0.0004	0.8432	-0.2045	0.4184
(10)	0.5711	0.0036	0.0003	1.2828	-0.0802	0.1289	0.6128	0.0056	0.0006	1.0218	-0.0933	0.1742
(30, 30)	0.5526	0.0008		0.9547	-0.0322	0.0623	0.0977	-0.0067	0.0026	0.6643	-0.0371	0.0824
(50, 50)	0.6207	0.0012	0.0001	1.0397	-0.0184	0.0341	0.5813	0.0008	0.6×	0.9131	-0.0197	0.0390
(100, 100)	0.5308	0.0001		0.9516	-0.0096	0.0187	0.5093			0.8747	-0.0100	0.0202