Table 35 Estimated MSEs for \(\gamma =6\), \(p=12\), and \(n={50,\,100}\). Bold value indicates minimum MSE.
From: New ridge parameter estimators for the quasi-Poisson ridge regression model
n = 50 | n = 100 | |||||||
|---|---|---|---|---|---|---|---|---|
\(\rho\) | 0.8 | 0.9 | 0.95 | 0.99 | 0.8 | 0.9 | 0.95 | 0.99 |
MSE (QLE) | 630.35 | 1154.77 | 2511.53 | 13,610.04 | 290.59 | 542.26 | 1054.63 | 5190.68 |
MSE (\({k}_{1}\)) | 488.65 | 905.89 | 1989.07 | 10,520.78 | 240.92 | 441.42 | 866.92 | 4226.55 |
MSE (\({k}_{2}\)) | 380.93 | 696.68 | 1580.76 | 8653.98 | 184.13 | 350.71 | 689.16 | 3444.76 |
MSE (\({k}_{3}\)) | 3.84 | 3.81 | 3.93 | 6.42 | 3.89 | 3.84 | 3.80 | 4.18 |
MSE (\({k}_{4}\)) | 5.97 | 5.96 | 5.25 | 3.57 | 6.00 | 6.59 | 6.09 | 4.01 |
MSE (\({k}_{5}\)) | 3.77 | 3.80 | 3.68 | 3.49 | 3.26 | 3.30 | 3.31 | 3.40 |
MSE (\({k}_{6}\)) | 13.95 | 15.44 | 14.00 | 6.68 | 10.41 | 12.22 | 11.51 | 6.48 |
MSE (\({k}_{7}\)) | 26.76 | 32.66 | 31.89 | 16.13 | 18.16 | 23.25 | 23.47 | 13.12 |
MSE (\({k}_{8}\)) | 27.93 | 33.83 | 33.71 | 17.93 | 22.80 | 28.94 | 29.30 | 17.28 |
MSE (\({k}_{9}\)) | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 |
MSE (\({k}_{10}\)) | 595.94 | 1119.24 | 2476.48 | 13,573.75 | 263.25 | 513.23 | 1025.26 | 5161.58 |
MSE (\({k}_{11}\)) | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 |
MSE (\({k}_{12}\)) | 3.60 | 3.59 | 3.62 | 3.75 | 3.69 | 3.63 | 3.61 | 3.68 |
MSE (\({k}_{13}\)) | 568.24 | 1040.40 | 2260.24 | 12,375.51 | 271.46 | 507.70 | 989.98 | 4879.23 |
MSE (\({k}_{14}\)) | 614.78 | 1127.76 | 2441.50 | 13,302.14 | 286.66 | 534.99 | 1040.54 | 5122.12 |
MSE (\({k}_{15}\)) | 25.90 | 81.30 | 248.60 | 1497.75 | 5.65 | 16.74 | 53.89 | 444.68 |
MSE (\({k}_{16}\)) | 3.98 | 3.99 | 3.99 | 4.00 | 3.98 | 3.98 | 3.99 | 4.00 |