Table 37 Estimated regression coefficients and MSEs of the selected estimators in the Apprentice Migration Dataset. Bold value indicates minimum MSE.
From: New ridge parameter estimators for the quasi-Poisson ridge regression model
Estimators | \({\widehat{\beta }}_{0}\) | \({\widehat{\beta }}_{1}\) | \({\widehat{\beta }}_{2}\) | \({\widehat{\beta }}_{3}\) | \({\widehat{\beta }}_{4}\) | MSEs | CV | PRESS |
|---|---|---|---|---|---|---|---|---|
QLE | 3.8472 | − 0.0347 | 0.0211 | − 0.0403 | 0.544 | 907.164 | 14.903 | 0.8262 |
\({k}_{1}\) | 0.388 | − 0.0194 | 0.0302 | − 0.0127 | 1.0542 | 7.415 | 4.424 | 0.0163 |
\({k}_{2}\) | 0.1069 | − 0.0067 | 0.0308 | 0.0208 | 0.3942 | 1.64 | 2.391 | 0.0228 |
\({k}_{3}\) | 0.0028 | 0.0069 | 0.031 | 0.0233 | 0.0101 | 4.76 | 1.086 | 0.0317 |
\({k}_{4}\) | 0.0231 | − 0.0003 | 0.0312 | 0.0332 | 0.0875 | 1.487 | 1.659 | 0.0327 |
\({k}_{5}\) | 0.3708 | − 0.019 | 0.0302 | − 0.0116 | 1.0351 | 6.961 | 4.507 | 0.0156 |
\({k}_{6}\) | 0.0241 | − 0.0004 | 0.0312 | 0.0332 | 0.0914 | 1.474 | 1.692 | 0.0326 |
\({k}_{7}\) | 0.0502 | − 0.0027 | 0.031 | 0.03 | 0.1898 | 1.361 | 2.112 | 0.0293 |
\({k}_{8}\) | 0.0305 | − 0.001 | 0.0311 | 0.0326 | 0.1157 | 1.417 | 1.864 | 0.0318 |
\({k}_{9}\) | 2.27E−16 | 8.55E−15 | 1.42E−14 | 5.82E−15 | 5.79E−16 | 15.1 | 1.004 | 0.1696 |
\({k}_{10}\) | 0.0005 | 0.0108 | 0.0212 | 0.0097 | 0.0014 | 12.423 | 1.026 | 0.0450 |
\({k}_{11}\) | 4.40E−13 | 1.66E−11 | 2.75E−11 | 1.13E−11 | 1.12E−12 | 15.1 | 1.000 | 0.1696 |
\({k}_{12}\) | 0.0002 | 0.0058 | 0.01 | 0.0042 | 0.0005 | 14.332 | 1.016 | 0.0865 |
\({k}_{13}\) | 3.812 | − 0.0346 | 0.0212 | − 0.0401 | 0.552 | 889.379 | 14.480 | 08,020 |
\({k}_{14}\) | 3.8255 | − 0.0346 | 0.0211 | − 0.0402 | 0.5489 | 896.201 | 14.651 | 0.8112 |
\({k}_{15}\) | 2.4101 | − 0.0302 | 0.0249 | − 0.0338 | 0.8664 | 325.778 | 5.152 | 0.2408 |
\({k}_{16}\) | 0.0017 | 0.0091 | 0.0298 | 0.0189 | 0.0058 | 6.925 | 1.061 | 0.2376 |