Research Article
Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data
Table 5
Bias and MSE of reliability and hazard functions obtained from different values of
, , and
.
| | Parameter | RF | HF | | | Bias | MSE | Bias | MSE |
| 20 | 1.0 | 0.5 | -0.0084 | 0.0062 | 0.0301 | 0.0077 | | 1.0 | 1.5 | 0.0017 | 0.0003 | 0.1378 | 0.1375 | | 1.0 | 2.5 | 0.0009 | 0.0000 | 0.2873 | 0.5794 | | 2.0 | 0.5 | -0.0028 | 0.0079 | 0.0212 | 0.0050 | | 2.0 | 1.5 | -0.0044 | 0.0028 | 0.1103 | 0.0928 | | 2.0 | 2.5 | 0.0012 | 0.0005 | 0.2356 | 0.3965 | 40 | 1.0 | 0.5 | -0.0045 | 0.0031 | 0.0138 | 0.0028 | | 1.0 | 1.5 | 0.0010 | 0.0001 | 0.0608 | 0.0419 | | 1.0 | 2.5 | 0.0005 | 0.0000 | 0.1238 | 0.1585 | | 2.0 | 0.5 | -0.0019 | 0.0038 | 0.0099 | 0.0019 | | 2.0 | 1.5 | -0.0024 | 0.0015 | 0.0491 | 0.0295 | | 2.0 | 2.5 | 0.0007 | 0.0003 | 0.1025 | 0.1134 | 50 | 1.0 | 0.5 | -0.0033 | 0.0025 | 0.0106 | 0.0020 | | 1.0 | 1.5 | 0.0008 | 0.0001 | 0.0464 | 0.0292 | | 1.0 | 2.5 | 0.0004 | 0.0000 | 0.0941 | 0.1074 | | 2.0 | 0.5 | -0.0013 | 0.0030 | 0.0077 | 0.0014 | | 2.0 | 1.5 | -0.0018 | 0.0012 | 0.0376 | 0.0208 | | 2.0 | 2.5 | 0.0006 | 0.0002 | 0.0780 | 0.0777 | 100 | 1.0 | 0.5 | -0.0016 | 0.0012 | 0.0050 | 0.0009 | | 1.0 | 1.5 | 0.0004 | 0.0001 | 0.0217 | 0.0123 | | 1.0 | 2.5 | 0.0002 | 0.0000 | 0.0439 | 0.0439 | | 2.0 | 0.5 | -0.0007 | 0.0015 | 0.0036 | 0.0006 | | 2.0 | 1.5 | -0.0009 | 0.0006 | 0.0176 | 0.0089 | | 2.0 | 2.5 | 0.0003 | 0.0001 | 0.0365 | 0.0322 |
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