Research Article
Statistical Analysis of a Weibull Extension with Bathtub-Shaped Failure Rate Function
Table 7
Estimation results using data in Chen [
6].
| Parameter | MLE | MOM | MMOM | IMOM | MIM |
| | 0.5068 | 0.5471 | 0.5071 | 0.4648 | 0.4584 | | 63.8939 | 102.2165 | 64.7495 | 40.3122 | 41.5428 |
| Approach | 95% confidence interval for | Length |
| Chen’s (Wu’s exact ) | (0.1900, 0.6200) | 0.4300 | Wu’s exact () | (0.3783, 0.7049) | 0.3266 | Wu’s approximated () | (0.3803, 0.6957) | 0.3154 | MOM pivot | (0.3013, 0.6492) | 0.3479 | MIM pivot | (0.2955, 0.5998) | 0.3043 |
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