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

Table 2

Bias and MSE for Bayesian estimates of reliability parameter and mean remaining strength.

Sample size	MCMC						IS
		Bias	MSE		Bias	MSE		Bias	MSE		Bias	MSE
,
(5)	0.4989	-0.0001		1.3736	-0.1515	0.2295	0.5012	0.0001		1.3961	-0.1492	0.2227
(10)	0.4993			1.3768	-0.0755	0.1142	0.5008			1.3846	-0.0752	0.1131
(30, 30)	0.5002			1.3751	-0.02252	0.0381	0.4985			1.3761	-0.0252	0.0381
(50, 50)	0.4983			1.3732	-0.0151	0.0229	0.4986			1.3737	-0.0151	0.0229
(100, 100)	.4986			1.3722	-0.0075	0.0114	0.4983			1.3717	-0.0075	0.0115
(5)	0.4987	-0.0326	0.0106	1.37414	-0.1719	0.2956	0.5067	-0.0318	0.0101	1.400	-0.1690	0.2859
(10)	0.5012	-0.0160	0.0052	1.3736	-0.0858	0.0474	0.5013	-0.0161	0.0052	1.3844	-0.0853	0.1456
(30, 30)	0.4991	-0.0054	0.0017	1.3720	-0.0286	0.0049	0.5012	-0.0053	0.0017	1.3810	-0.0284	0.0487
(50, 50)	0.5002	-0.0032	0.0010	1.3762	-0.0171	0.0294	0.5007	-0.0032	0.0010	1.3804	-0.0171	0.0292
(100, 100)	0.5003	-0.0016	0.0005	1.3776	-0.0085	0.0146	0.5006	-0.0016	0.0005	1.3767	-0.0085	0.0146
(5)	0.5004	0.0375	0.0140	1.3755	0.0751	0.0564	0.4978	0.0372	0.0139	1.3797	0.0755	0.0571
(10)	0.4992	0.0186	0.0069	1.3695	0.0372	0.0277	0.4989	0.0186	0.0069	1.3805	0.0378	0.0286
(30, 30)	0.5000	0.0062	0.0023	1.3768	0.0125	0.0094	0.5001	0.0062	0.0023	1.3815	0.0126	0.0095
(50, 50)	0.5003	0.0037	0.0014	1.37792	0.0075	0.0057	0.4991	0.0037	0.0013	1.3744	0.0075	0.0056
(100, 100)	0.4996	0.0018	0.0007	1.3737	0.0037	0.0028	0.5011	0.0018	0.0007	1.3800	0.0037	0.0028
(5)	0.5012	0.0001		1.3795	-0.1509	0.2277	0.4986	-0.0001		1.3796	-0.1508	0.2275
(10)	0.5008			1.3757	-0.0756	0.1144	0.4996			1.3806	-0.0755	0.1136
(30, 30)	0.5000			1.3784	-0.0251	0.0380	0.4997			1.3777	-0.0251	0.0380
(50, 50)	0.4996			1.3783	-0.0151	0.0229	0.4984			1.3752	-0.0151	0.0028
(100, 100)	0.4982			1.3730	-0.0075	0.0114	0.4997			1.3779	-0.0075	0.0114