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

Table 6

Bias Bayesian estimate of reliability parameter and FMRS.

Sample size	MCMC						IS
		Bias	MSE		Bias	MSE		Bias	MSE		Bias	MSE
,
(5)	0.2956	-0.0354	0.0125	1.8907	-0.1801	0.3245	0.3032	-0.0346	0.0120	1.9229	-0.1769	0.3130
(100, 100)	0.2973	-0.0017	0.0006	1.8976	-0.0089	0.0161	0.2974	-0.0017	0.0006	1.8967	-0.0089	0.0161
,
(5)	0.4412	0.0345	0.0119	1.5258	-0.1703	0.2902	0.4496	-0.0337	0.0113	1.5544	-0.1675	0.2806
(100, 100)	0.4430	-0.0344	0.0118	1.5320	-0.1697	0.2882	0.4433	-0.0343	0.0118	1.5311	-0.1698	0.2885
,
(5)	0.4685	-0.0337	0.0113	1.4530	-0.1707	0.2916	0.4769	-0.0329	0.0108	1.4814	-0.1679	0.2820
(100, 100)	0.4703	-0.0016	0.0005	1.4591	-0.0085	0.0144	0.4706	-0.0016	0.0005	1.4582	0.0085	0.0144
,
(5)	0.4831	-0.0332	0.0110	1.4133	-0.1742	0.3036	0.4915	-0.0323	0.0104	1.4418	-0.1714	0.2938
(100, 100)	0.4850	-0.0016	0.0005	1.4194	-0.0086	0.0150	0.4853	-0.0016	0.0005	1.4186	-0.0086	0.0151
,
(5)	0.2972	0.0248	0.0061	1.8953	0.0908	0.0824	0.2960	0.0247	0.0061	1.9002	0.0913	0.0833
(100, 100)	0.2965	0.0012	0.0003	1.8933	0.0045	0.0041	0.2980	0.0012	0.0003	1.9003	0.0045	0.0041
0.7682,
(5)	0.4431	0.0347	0.0121	1.5299	0.0761	0.0580	0.4409	0.0345	0.0119	1.5342	0.0766	0.0586
(100, 100)	0.4423	0.0017	0.0006	1.5281	0.0037	0.0028	0.4439	0.0017	0.0006	1.5344	0.0038	0.0029
0.7058,
(5)	0.4705	0.0361	0.0131	1.4571	0.0751	0.0564	0.4681	0.0359	0.0129	1.4613	0.0755	0.0571
(100, 100)	0.4697	0.0018	0.0006	1.4553	0.0037	0.0028	0.4712	0.0018	0.0006	1.4615	0.0037	0.0028
,
(5)	0.4851	0.0368	0.0135	1.4174	0.0749	0.0561	0.4826	0.0366	0.0134	1.4216	0.0753	0.0568
(100, 100)	0.4843	0.0018	0.0006	1.4156	0.0037	0.0027	0.4858	0.0018	0.0006	1.4218	0.0037	0.0028