Research Article
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data
Table 1
The values of RMSE and RB of the Bayes estimators of the regression coefficients for WIG model along with corresponding values for IG and LN models.
| Sample size | Parameter | Criterion | Regression model | WIG | IG | LN |
| 25 | | RB | 0.2320 | 0.2980 | 1.9473 | RMSE | 1.6103 | 1.8196 | 1.9476 | | RB | 1.1686 | 1.1922 | 2.9271 | RMSE | 1.5167 | 1.5973 | 2.9273 | 50 | | RB | 0.7869 | 1.0280 | 1.5233 | RMSE | 0.8208 | 1.0330 | 1.5320 | | RB | 1.8000 | 2.2501 | 2.5713 | RMSE | 1.8402 | 2.3391 | 2.5781 | 75 | | RB | 0.8016 | 1.1144 | 1.7650 | RMSE | 0.8462 | 1.1761 | 1.7662 | | RB | 1.6332 | 1.8960 | 2.8198 | RMSE | 1.6842 | 1.9694 | 2.8013 | 100 | | RB | 0.6218 | 0.9609 | 1.8919 | RMSE | 0.7470 | 1.0904 | 1.8726 | | RB | 1.5020 | 1.6789 | 2.8914 | RMSE | 1.6014 | 1.8123 | 2.8917 |
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