From: Simple robust parameter estimation for the Birnbaum-Saunders distribution
 | Estimator of α |  | Estimator of β | ||||
---|---|---|---|---|---|---|---|
\(\hat \alpha ^{\text {MLE}}\) | \(\hat \alpha ^{\text {IQR}}_{1}\) | \(\hat \alpha ^{\text {RC}}_{1}\) | \(\hat \alpha ^{\text {IQR}}_{2}\) | \(\hat \alpha ^{\text {RC}}_{2}\) | \(\hat \beta ^{\text {MLE}}\) | \(\tilde \beta ^{\mathrm {M}}\) | \(\hat \beta ^{\text {HL}}\) |
Model 1 | |||||||
−0.0038 | −0.0068 | −0.0001 | −0.0040 | −0.0001 | 0.0013 | 0.0024 | 0.0014 |
(0.0353) | (0.0583) | (0.0405) | (0.0445) | (0.0405) | (0.0483) | (0.0625) | (0.0504) |
Model 2 | |||||||
0.3424 | −0.0068 | 0.0075 | 0.9484 | 0.0075 | 0.2512 | 0.0024 | 0.0040 |
(0.3452) | (0.9570) | (0.3742) | (0.0583) | (0.0426) | (0.2593) | (0.0625) | (0.0511) |
Model 3 | |||||||
0.3423 | −0.0068 | 0.0075 | 0.0139 | 0.0075 | −0.1983 | 0.0024 | −0.0011 |
(0.3451) | (0.0583) | (0.0426) | (0.0448) | (0.0426) | (0.2026) | (0.0625) | (0.0507) |
Model 4 | |||||||
0.8931 | 0.0253 | 0.0523 | 2.4594 | 0.0523 | 1.0944 | 0.0364 | 0.0501 |
(0.8936) | (0.0659) | (0.0693) | (2.4607) | (0.0693) | (1.0957) | (0.0751) | (0.0736) |