Table 5 Comparison between the developed estimators and the MLE through fatigue lifetime data by Birnbaum and Saunders (1969b)
From: Simple robust parameter estimation for the Birnbaum-Saunders distribution
| Â | Table 4 data | Misrecorded data | ||
|---|---|---|---|---|
Method | α | β | α | β |
\((\hat \alpha ^{\text {MLE}}, ~\hat \beta ^{\text {MLE}})\) | 0.1704 | 131.8188 | 0.2415 | 134.7689 |
\((\hat \alpha ^{\text {IQR}}_{1}, ~\hat \beta ^{\mathrm {M}})\) | 0.1454 | 133.0000 | 0.1555 | 134.0000 |
\((\hat \alpha ^{\text {RC}}_{1}, ~\hat \beta ^{\mathrm {M}})\) | 0.1601 | 133.0000 | 0.1677 | 134.0000 |
\((\hat \alpha ^{\text {IQR}}_{2}, ~\hat \beta ^{\text {HL}})\) | 0.1454 | 132.6047 | 0.1555 | 132.8834 |
\((\hat \alpha ^{\text {RC}}_{2}, ~\hat \beta ^{\text {HL}})\) | 0.1601 | 132.6047 | 0.1677 | 132.8834 |