Table 31 Estimated MSEs for \(\gamma =2\), \(p=12\), 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) | 166.47 | 324.93 | 640.92 | 3295.88 | 107.64 | 192.52 | 362.47 | 1802.61 |
MSE (\({k}_{1}\)) | 135.63 | 262.20 | 520.15 | 2599.75 | 90.12 | 160.39 | 303.12 | 1493.34 |
MSE (\({k}_{2}\)) | 102.47 | 203.67 | 409.34 | 2126.72 | 69.39 | 126.30 | 241.98 | 1221.72 |
MSE (\({k}_{3}\)) | 3.77 | 3.69 | 3.77 | 5.56 | 3.83 | 3.76 | 3.71 | 4.23 |
MSE (\({k}_{4}\)) | 8.12 | 9.38 | 8.79 | 4.84 | 9.72 | 11.77 | 11.91 | 6.78 |
MSE (\({k}_{5}\)) | 6.37 | 7.26 | 6.92 | 4.19 | 5.82 | 6.21 | 5.96 | 3.87 |
MSE (\({k}_{6}\)) | 19.28 | 25.95 | 28.31 | 17.41 | 15.97 | 22.08 | 25.68 | 16.89 |
MSE (\({k}_{7}\)) | 24.79 | 35.61 | 41.91 | 29.53 | 18.29 | 26.20 | 32.06 | 23.20 |
MSE (\({k}_{8}\)) | 34.95 | 53.63 | 71.00 | 65.31 | 28.69 | 43.83 | 63.79 | 72.98 |
MSE (\({k}_{9}\)) | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 |
MSE (\({k}_{10}\)) | 154.33 | 312.70 | 629.08 | 3283.59 | 96.14 | 181.40 | 351.58 | 1791.69 |
MSE (\({k}_{11}\)) | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 | 4.01 |
MSE (\({k}_{12}\)) | 3.50 | 3.45 | 3.46 | 3.62 | 3.69 | 3.61 | 3.56 | 3.58 |
MSE (\({k}_{13}\)) | 138.87 | 273.23 | 542.37 | 2807.63 | 92.74 | 167.45 | 317.57 | 1588.01 |
MSE (\({k}_{14}\)) | 160.07 | 312.25 | 616.23 | 3169.38 | 104.64 | 187.05 | 352.28 | 1752.20 |
MSE (\({k}_{15}\)) | 5.30 | 17.77 | 53.31 | 405.38 | 3.13 | 5.11 | 13.78 | 129.13 |
MSE (\({k}_{16}\)) | 3.93 | 3.95 | 3.97 | 3.99 | 3.91 | 3.93 | 3.95 | 3.99 |