Research Article
Modeling and Bayesian Analysis of Time between the Breakdown of Electric Feeders
Table 2
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 | 4.1561 | 3.8308 | 3.8437 | 3.8554 | 3.8236 | 3.8165 | 3.0096 | 3.0096 | 3.0079 | 3.9858 | 3.9626 | 0.0149 | 0.0560 | 0.0129 | 0.0030 | 0.0144 | 0.0037 | 0.0472 | 0.0736 | 0.0031 | 0.04757 | 0.0554 | 100 | 4.2354 | 4.0632 | 4.0634 | 4.0638 | 4.0633 | 4.0633 | 3.9006 | 3.9016 | 3.8964 | 3.8843 | 3.8682 | 0.0067 | 0.0001 | 0.0002 | 0.0001 | 0.0001 | 0.0001 | 0.0287 | 0.0009 | 0.0072 | 0.0329 | 0.0397 | 200 | 4.3412 | 4.2503 | 4.2484 | 4.2467 | 4.2513 | 4.2523 | 3.9339 | 3.9244 | 3.9323 | 3.9261 | 3.9182 | 0.0031 | 0.0086 | 0.0019 | 0.0004 | 0.0020 | 0.0005 | 0.0142 | 0.0004 | 0.0028 | 0.0159 | 0.0186 | 300 | 4.3994 | 4.3368 | 4.3350 | 4.3333 | 4.3377 | 4.3387 | 3.9806 | 3.9818 | 3.9775 | 3.9735 | 3.9666 | 0.0019 | 0.0082 | 0.0018 | 0.0003 | 0.0019 | 0.0004 | 0.0136 | 0.0013 | 0.0047 | 0.0140 | 0.0147 | 500 | 4.4638 | 4.4249 | 4.4235 | 4.4221 | 4.4256 | 4.4263 | 4.0027 | 4.0034 | 4.0010 | 4.9987 | 4.9949 | 0.0011 | 0.0064 | 0.0014 | 0.0003 | 0.0014 | 0.0003 | 0.0077 | 0.0007 | 0.0027 | 0.0078 | 0.0081 | 700 | 4.4942 | 4.4666 | 4.4655 | 4.4644 | 4.4671 | 4.4677 | 4.022 | 4.0229 | 4.0213 | 4.0197 | 4.017 | 0.0007 | 0.0051 | 0.0011 | 0.0002 | 0.0011 | 0.0002 | 0.0053 | 0.0006 | 0.0019 | 0.0053 | 0.0055 | 1000 | 4.5467 | 4.5271 | 4.5263 | 4.5255 | 4.5275 | 4.5279 | 1.0263 | 4.0265 | 4.0257 | 4.0244 | 4.0226 | 0.0005 | 0.0039 | 0.0008 | 0.0002 | 0.0008 | 0.0002 | 0.0037 | 0.0002 | 0.0009 | 0.0037 | 0.0037 | 1500 | 4.5872 | 4.5739 | 4.5733 | 4.5727 | 4.5742 | 4.5745 | 4.0687 | 4.0687 | 4.0685 | 4.0676 | 4.066 | 0.0003 | 0.0028 | 0.0006 | 0.0001 | 0.0006 | 0.0001 | 0.0023 | 0.0002 | 0.0004 | 0.0022 | 0.0021 |
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