Research Article

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

Table 5

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

Sample sizeMLEMPS
BiasMSEBiasMSEBiasMSEBiasMSE

,
(5)0.4388-0.02110.004451.9966-0.16950.28750.85460.02040.00415.68350.19910.3965
(100, 100)0.5850-0.00033.0944-0.00290.00170.69760.00024.27180.00280.0016

,
(5)0.6396-0.01470.00211.6252-0.16040.25740.94820.01610.00255.24170.20120.4048
(100, 100)0.7408-0.00460.00022.6492-0.05800.03360.81870.00310.00013.80060.05700.0325

,
(5)0.6756-0.01300.00171.5534-0.16070.25830.95870.01520.00235.17650.20150.4062
(100, 100)0.7618-0.00022.5572-0.00300.00180.83460.00013.73380.00280.0016

,
(5)
(100, 100)

,
(5)0.13140.00820.00061.23810.02510.00630.07110.00221.37630.03890.0151
(100, 100)0.05310.99320.05901.12120.0006

0.7682,
(5)0.23370.01370.00190.96910.02010.00400.12100.00251.08110.03120.0097
(100, 100)0.10440.77300.10970.87410.0005

0.7058,
(5)0.25810.01490.00220.90180.01960.00380.00380.00231.01140.03050.0093
(100, 100)0.11830.71050.12260.80860.0005

, k =20
(5)0.27210.01550.002420.86260.01940.00370.13860.00220.97150.03030.0092
(100, 100)0.13970.00010.67310.13010.76970.0005