Research Article
Modeling and Bayesian Analysis of Time between the Breakdown of Electric Feeders
Table 1
The MLEs and Bayes estimators of
with posterior risks under different loss functions.
| Sample size | MLEs | Bayes estimators | Lindley approximation | - approximation | SELF | WLF | QLF | PLF | MIILF | SELF | WLF | QLF | PLF | MIILF | | | | | | | | | | | |
| 50 | 1.0745 | 0.8938 | 0.9099 | 0.9232 | 0.8837 | 0.8737 | 0.7400 | 0.7345 | 0.7290 | 0.7428 | 0.7456 | 0.0581 | 0.0183 | 0.0161 | 0.0048 | 0.2002 | 0.1599 | 0.0055 | 0.0055 | 0.0216 | 0.0055 | 0.0208 | 100 | 1.1586 | 1.0716 | 1.0727 | 1.0740 | 1.0713 | 1.0710 | 1.5259 | 1.5197 | 1.5135 | 1.5291 | 1.5322 | 0.0319 | 0.0009 | 0.0011 | 0.0008 | 0.0007 | 0.6891 | 0.0035 | 0.0063 | 0.0117 | 0.0062 | 0.0115 | 200 | 1.2486 | 1.2067 | 1.2057 | 1.2048 | 1.2073 | 1.2079 | 1.4788 | 1.4760 | 1.4732 | 1.4803 | 1.4817 | 0.0175 | 0.0013 | 0.0010 | 0.0007 | 0.0012 | 1.8066 | 0.0016 | 0.0028 | 0.0058 | 0.0029 | 0.0058 | 300 | 1.3171 | 1.2903 | 1.2893 | 1.2885 | 1.2907 | 1.2912 | 1.5946 | 1.5922 | 1.5898 | 1.5958 | 1.5971 | 0.0125 | 0.0012 | 0.0009 | 0.0004 | 0.0009 | 2.6552 | 0.0015 | 0.0024 | 0.0040 | 0.0025 | 0.0041 | 500 | 1.3963 | 1.3809 | 1.3803 | 1.3797 | 1.3812 | 1.3815 | 1.5816 | 1.5803 | 1.5789 | 1.5824 | 1.5831 | 0.0081 | 0.0008 | 0.0006 | 0.0003 | 0.0006 | 3.9292 | 0.0008 | 0.0014 | 0.0023 | 0.0014 | 0.0024 | 700 | 1.4373 | 1.4268 | 1.4263 | 1.4259 | 1.4270 | 1.4272 | 1.5595 | 1.5586 | 1.5576 | 1.5600 | 1.5605 | 0.0059 | 0.0006 | 0.0004 | 0.0002 | 0.0004 | 4.2820 | 0.0005 | 0.0009 | 0.0017 | 0.0009 | 0.0016 | 1000 | 1.4962 | 1.4892 | 1.4889 | 1.4886 | 1.4893 | 1.4894 | 1.5648 | 1.5641 | 1.5634 | 1.5651 | 1.5654 | 0.0043 | 0.0004 | 0.0003 | 0.0002 | 0.0003 | 5.3979 | 0.0004 | 0.0006 | 0.0012 | 0.0007 | 0.0012 | 1500 | 1.567 | 1.5628 | 1.5626 | 1.5625 | 1.5629 | 1.5630 | 1.5352 | 1.5348 | 1.5344 | 1.5353 | 1.5356 | 0.0030 | 0.0003 | 0.0002 | 0.0001 | 0.0002 | 7.1255 | 0.0002 | 0.0004 | 0.0007 | 0.0004 | 0.0007 |
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