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

Table 4

Bias Bayesian estimate of reliability parameter and FMRS.

Sample size	MCMC						IS
		Bias	MSE		Bias	MSE		Bias	MSE		Bias	MSE
,
(5)	0.2961	-0.0086	0.0007	1.8932	-0.1674	0.2804	0.2995	-0.0083	0.0006	1.9187	-0.1649	0.2719
(10)	0.2966	-0.0043	0.0003	1.8968	-0.0835	0.1396	0.2983	-0.0042	0.0003	1.9056	-0.0831	0.1381
(30, 30)	0.2970	-0.0014	0.0001	1.8949	-0.0278	0.0466	0.2961	-0.00086		1.8960	-0.0167	0.0279
(50, 50)	0.2957	-0.0008		1.8927	-0.0167	0.0280	0.2965	-0.0008		1.8934	-0.0167	0.0280
(100, 100)	0.2957	-0.0004		1.8916	-0.0083	0.0140	0.2955	-0.0004		1.891	-0.0083	0.0140
,
(5)	0.4417	-0.0031		1.5280	-0.1515	0.2295	0.4446	-0.0028		1.5506	-0.1492	0.2227
(10)	0.4422	0.0015		1.5312	-0.0755	0.11429	0.4438	-0.0014		1.539	-0.0752	0.1131
(30, 30)	0.4428	-0.0005		1.5295	-0.0252	0.0381	0.4414	-0.0005		1.5305	-0.0252	0.0381
(50, 50)	0.4411	-0.0003		1.5276	-0.0151	0.0229	0.4414	-0.0003		1.5281	0.0151	0.0229
(100, 100)	0.4413	-0.0001		1.5266	-0.0075	0.01149	0.4410	-0.0001		1.5261	-0.0075	0.0115
,
(5)	0.4690	-0.0017		1.4551	-0.1512	0.2287	0.4716	-0.0014		1.4776	-0.1489	0.2219
(10)	0.4694	-0.0008		1.4583	-0.0754	0.1138	0.4711	-0.0007		1.4661	-0.0750	0.1127
(30, 30)	0.4702	-0.0002		1.4567	-0.0251	0.0380	0.4687	-0.0002		1.4576	-0.0251	0.0379
(50,50)	0.4684	-0.0001		1.4548	-0.0151	0.0228	0.4687	-0.0001		1.4553	-0.0151	0.0228
(100, 100)	0.4686	-0.0001		1.4538	-0.0151	0.0229	0.4683	-0.0001		1.4533	-0.0151	0.0229
,
(5)	0.4833	-0.0009		1.4154	-0.1513	0.2289	0.4861	-0.0006		1.4380	-0.1490	0.2221
(10)	0.4841	-0.0004		1.4187	-0.0754	0.1139	0.4856	-0.0003		1.4265	-0.0751	0.1128
(30, 30)	0.4848	-0.0001		1.4170	-0.0251	0.0380	0.4833	-0.0001		1.4180	-0.0251	0.0380
(50, 50)	0.4830			1.4151	-0.0151	0.0229	0.4833			1.4156	-0.0151	0.0228
(100, 100)	0.4833			1.4141	-0.0075	0.0114	0.4830			1.4136	-0.0075	0.0114