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

Table 3

Bias and MSE for MLE and MPS estimate of reliability parameter and FMRS.

Sample size	MLE						MPS
		Bias	MSE		Bias	MSE		Bias	MSE		Bias	MSE
,
(5)	0.2652	-0.0234	0.0055	1.9521	-0.0935	0.0875	0.4549	0.0072	0.0005	4.4004	0.0873	0.0763
(10)	0.2328	-0.0133	0.0035	2.7540	-0.0066	0.0008	0.3595	-0.0011		3.0975	-0.0214	0.0092
(30, 30)	0.4177	-0.0013	0.0001	1.1918	-0.0282	0.0479	0.3577	-0.0004		3.4110	-0.0019	0.0002
(50, 50)	0.3967	-0.0010	0.0001	3.3524	0.0046	0.0021	0.4587	0.0007		4.0694	0.0054	0.0029
(100, 100)	0.3283	-0.0008	0.0001	2.9741	0.0004		0.3759			3.5688	0.0002
,
(5)	0.3915	-0.0108	0.0011	1.5789	-0.1309	0.1713	0.5363	0.0063	0.0004	3.8924	0.0849	0.0721
(10)	0.3076	-0.0096	0.0018	2.3052	-0.0291	0.0169	0.4587	-0.0007		2.6339	-0.0204	0.0083
(30, 30)	0.7513	0.0041	0.0010	0.9372	-0.0325	0.0634	0.4457	-0.0004		2.9308	-0.0018	0.0002
(50, 50)	0.4958			2.8779	-0.0001		0.5487	0.0007		3.5717	0.0052	0.0027
(100, 100)	0.4237	-0.0003		2.5158	-0.0018	0.0006	0.4633			3.0828	0.0001
,
(5)	0.4149	-0.0085	0.0007	1.5054	-0.1382	0.1911	0.5476	0.0061	0.0003	3.8179	0.085	0.0723
(10)	0.3198	-0.0090	0.0016	2.2285	-0.0329	0.0217	0.474	-0.0006		2.5583	-0.0204	0.0083
(30, 30)	0.8305	0.0055	0.0018	0.8724	-0.0335	0.0677	0.4589	-0.0004		2.8549	-0.0018	0.0002
(50, 50)	0.5106	0.0001		2.8027	-0.0008		0.5615	0.0007		3.4973	0.0052	0.0028
(100, 100)	0.4386	-0.0003		2.4400	-0.0022	0.0010	0.4762			3.0071	0.0001
,
(5)	0.4274	-0.0072	0.0005	1.4655	-0.1422	0.2023	0.5533	0.006	0.0003	3.7799	0.0851	0.0724
(10)	0.3261	-0.0086	0.0015	2.1881	-0.0344	0.0244	0.4818	-0.0005		2.519	-0.0204	0.0083
(30, 30)	0.8756	0.0062	0.0023	0.8347	-0.0342	0.0702	0.4657	-0.0004		2.8156	-0.0018	0.0002
(50, 50)	0.5182	0.0001		2.7639	-0.0012	0.0015	0.5679	0.0007		3.4593	0.0053	0.0028
(100, 100)	0.4463	-0.0002		2.4004	-0.0024	0.0011	0.4828			2.968	0.0001