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 size | MLE | MPS | | Bias | MSE | | Bias | MSE | | Bias | MSE | | Bias | MSE |
| , | (5) | 0.4388 | -0.0211 | 0.00445 | 1.9966 | -0.1695 | 0.2875 | 0.8546 | 0.0204 | 0.0041 | 5.6835 | 0.1991 | 0.3965 | (100, 100) | 0.5850 | -0.0003 | | 3.0944 | -0.0029 | 0.0017 | 0.6976 | 0.0002 | | 4.2718 | 0.0028 | 0.0016 |
| , | (5) | 0.6396 | -0.0147 | 0.0021 | 1.6252 | -0.1604 | 0.2574 | 0.9482 | 0.0161 | 0.0025 | 5.2417 | 0.2012 | 0.4048 | (100, 100) | 0.7408 | -0.0046 | 0.0002 | 2.6492 | -0.0580 | 0.0336 | 0.8187 | 0.0031 | 0.0001 | 3.8006 | 0.0570 | 0.0325 |
| , | (5) | 0.6756 | -0.0130 | 0.0017 | 1.5534 | -0.1607 | 0.2583 | 0.9587 | 0.0152 | 0.0023 | 5.1765 | 0.2015 | 0.4062 | (100, 100) | 0.7618 | -0.0002 | | 2.5572 | -0.0030 | 0.0018 | 0.8346 | 0.0001 | | 3.7338 | 0.0028 | 0.0016 |
| , | (5) | | | | | | | | | | | | | (100, 100) | | | | | | | | | | | | |
| , | (5) | 0.1314 | 0.0082 | 0.0006 | 1.2381 | 0.0251 | 0.0063 | 0.0711 | 0.0022 | | 1.3763 | 0.0389 | 0.0151 | (100, 100) | 0.0531 | | | 0.9932 | | | 0.0590 | | | 1.1212 | 0.0006 | |
| 0.7682, | (5) | 0.2337 | 0.0137 | 0.0019 | 0.9691 | 0.0201 | 0.0040 | 0.1210 | 0.0025 | | 1.0811 | 0.0312 | 0.0097 | (100, 100) | 0.1044 | | | 0.7730 | | | 0.1097 | | | 0.8741 | 0.0005 | |
| 0.7058, | (5) | 0.2581 | 0.0149 | 0.0022 | 0.9018 | 0.0196 | 0.0038 | 0.0038 | 0.0023 | | 1.0114 | 0.0305 | 0.0093 | (100, 100) | 0.1183 | | | 0.7105 | | | 0.1226 | | | 0.8086 | 0.0005 | |
| , k =20 | (5) | 0.2721 | 0.0155 | 0.00242 | 0.8626 | 0.0194 | 0.0037 | 0.1386 | 0.0022 | | 0.9715 | 0.0303 | 0.0092 | (100, 100) | 0.1397 | 0.0001 | | 0.6731 | | | 0.1301 | | | 0.7697 | 0.0005 | |
|
|