Research Article

Statistical Analysis of a Weibull Extension with Bathtub-Shaped Failure Rate Function

Table 6

Estimation results using data in Wu et al. [11].

Parameter MLE MOM MMOM IMOM MIM

0.2893 0.3102 0.3005 0.2806 0.2741
100.4048 189.7327 139.5206 78.9727 66.6931

Approach 95% confidence interval for Length

Chen’s (Wu’s exact ) (0.1986, 0.3697) 0.1771
Wu’s exact () (0.2106, 0.3299) 0.1193
Wu’s exact () (0.2066, 0.3261) 0.1195
Wu’s approximated () (0.2122, 0.3220) 0.1098
MOM pivot (0.2304, 0.3640) 0.1336
MIM pivot (0.2237, 0.3260) 0.1023