Table 11 Estimated MSE and coefficient of GPMLE and GPRRE for the dataset.
Estimator | \(\beta _0\) | \(\beta _1\) | \(\beta _2\) | \(\beta _3\) | \(\beta _4\) | \(\beta _5\) | \(\beta _6\) | MSE | |
|---|---|---|---|---|---|---|---|---|---|
GPMLE | – | 3.1606 | − 0.0034 | − 0.0161 | − 0.0147 | 0.0864 | 0.1021 | 0.0128 | 29.2930 |
GPRRE | \(\hat{k}^*_{1 }\) | 3.0143 | − 0.0034 | − 0.0273 | 0.0007 | 0.0528 | 0.1127 | 0.0487 | 2.7943 |
\(\hat{k}^*_{2 }\) | 2.9869 | − 0.0034 | − 0.0292 | 0.0035 | 0.0491 | 0.1167 | 0.0508 | 2.3287 | |
\(\hat{k}^*_{3 }\) | 2.9869 | − 0.0034 | − 0.0292 | 0.0035 | 0.0491 | 0.1167 | 0.0508 | 2.3287 | |
\(\hat{k}^*_{4 }\) | 3.1597 | − 0.0034 | − 0.0162 | − 0.0146 | 0.0859 | 0.1019 | 0.0136 | 28.4057 | |
\(\hat{k}^*_{5 }\) | 3.1080 | − 0.0034 | − 0.0202 | − 0.0092 | 0.0687 | 0.1014 | 0.0359 | 8.0755 | |
\(\hat{k}^*_{6 }\) | 3.1073 | − 0.0034 | − 0.0203 | − 0.0091 | 0.0686 | 0.1014 | 0.0360 | 7.9869 | |
\(\hat{k}^*_{7 }\) | 3.1576 | − 0.0034 | − 0.0163 | − 0.0144 | 0.0848 | 0.1015 | 0.0152 | 26.3976 | |
\(\hat{k}^*_{8 }\) | 3.0658 | − 0.0034 | − 0.0235 | − 0.0047 | 0.0606 | 0.1057 | 0.0433 | 4.4871 | |
\(\hat{k}^*_{9 }\) | 3.0900 | − 0.0034 | − 0.0216 | − 0.0073 | 0.0650 | 0.1030 | 0.0396 | 6.0952 | |
\(\hat{k}^*_{10}\) | 3.1605 | − 0.0034 | − 0.0161 | − 0.0147 | 0.0863 | 0.1020 | 0.0129 | 29.1616 | |
\(\hat{k}^*_{11}\) | 3.1432 | − 0.0034 | − 0.0175 | − 0.0129 | 0.0786 | 0.1003 | 0.0240 | 17.1243 | |
\(\hat{k}^*_{12}\) | 2.8888 | − 0.0034 | − 0.0360 | 0.0136 | 0.0370 | 0.1319 | 0.0563 | 1.5296 | |
\(\hat{k}^*_{13}\) | 2.9429 | − 0.0034 | − 0.0323 | 0.0081 | 0.0435 | 0.1234 | 0.0535 | 1.8580 | |
\(\hat{k}^*_{14}\) | 2.8458 | − 0.0034 | − 0.0387 | 0.0179 | 0.0320 | 0.1388 | 0.0581 | 1.3728 | |
\(\hat{k}^*_{15}\) | 2.9580 | − 0.0034 | − 0.0313 | 0.0065 | 0.0454 | 0.1211 | 0.0527 | 1.9912 | |
