Table 33 Estimated MSEs for \(\gamma =4\), \(p=12\), 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) | 345.69 | 670.91 | 1385.28 | 6817.89 | 197.83 | 366.72 | 703.14 | 3463.65 |
MSE (\({k}_{1}\)) | 276.99 | 534.72 | 1086.54 | 5336.42 | 164.59 | 302.52 | 574.74 | 2835.09 |
MSE (\({k}_{2}\)) | 208.18 | 409.60 | 851.01 | 4281.11 | 126.07 | 238.77 | 465.21 | 2329.46 |
MSE (\({k}_{3}\)) | 3.82 | 3.79 | 3.84 | 6.38 | 3.88 | 3.81 | 3.77 | 4.08 |
MSE (\({k}_{4}\)) | 6.71 | 7.16 | 6.27 | 3.85 | 7.26 | 8.24 | 7.67 | 4.59 |
MSE (\({k}_{5}\)) | 4.20 | 4.35 | 4.05 | 3.44 | 3.47 | 3.65 | 3.55 | 3.29 |
MSE (\({k}_{6}\)) | 16.59 | 19.79 | 18.70 | 9.54 | 13.12 | 16.33 | 16.17 | 8.91 |
MSE (\({k}_{7}\)) | 26.86 | 34.84 | 36.09 | 20.49 | 18.88 | 25.38 | 26.82 | 15.80 |
MSE (\({k}_{8}\)) | 33.46 | 44.25 | 47.18 | 30.30 | 27.57 | 38.19 | 44.30 | 29.89 |
MSE (\({k}_{9}\)) | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 |
MSE (\({k}_{10}\)) | 322.90 | 648.67 | 1362.17 | 6795.08 | 178.10 | 346.64 | 683.22 | 3443.42 |
MSE (\({k}_{11}\)) | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 |
MSE (\({k}_{12}\)) | 3.55 | 3.53 | 3.56 | 3.71 | 3.68 | 3.60 | 3.57 | 3.64 |
MSE (\({k}_{13}\)) | 305.08 | 592.96 | 1226.21 | 6081.90 | 180.95 | 336.98 | 647.91 | 3201.22 |
MSE (\({k}_{14}\)) | 336.39 | 652.51 | 1346.84 | 6638.19 | 194.36 | 360.38 | 691.00 | 3405.41 |
MSE (\({k}_{15}\)) | 13.14 | 39.76 | 116.06 | 801.41 | 3.95 | 11.06 | 32.74 | 295.64 |
MSE (\({k}_{16}\)) | 3.97 | 3.98 | 3.99 | 4.00 | 3.96 | 3.97 | 3.98 | 4.00 |