On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 8
Estimated SMSE values for different when .
Estimator
MLE
1290.178
351.061
201.273
141.149
50.739
1023.268
289.402
167.742
118.19
42.831
1.278
1.001
0.854
0.764
0.559
1.770
1.675
1.623
1.592
1.520
1.286
0.952
0.762
0.694
0.517
1.185
0.881
0.725
0.634
0.470
1.667
1.544
1.468
1.405
1.184
1.893
1.854
1.827
1.802
1.706
482.181
172.171
108.377
79.652
31.243
1.183
0.879
0.723
0.632
0.469
1.185
0.895
0.747
0.660
0.488
1.183
0.879
0.723
0.632
0.469
4.905
1.815
1.145
0.843
0.492
1.183
0.879
0.723
0.632
0.469
227.801
109.915
78.862
62.425
28.354
1.183
0.879
0.723
0.632
0.469
1.185
0.895
0.747
0.660
0.488
1.183
0.879
0.723
0.632
0.469
MLE
12799.990
3474.189
1991.504
1396.258
501.591
10126.990
2863.031
1659.309
1169.029
423.504
1.270
0.993
0.845
0.756
0.553
1.769
1.674
1.623
1.592
1.520
1.279
0.941
0.749
0.628
0.352
1.162
0.841
0.667
0.558
0.300
1.865
1.816
1.783
1.753
1.633
1.963
1.949
1.939
1.930
1.893
4820.481
1696.644
1062.522
776.154
299.176
1.161
0.840
0.666
0.557
0.299
1.166
0.861
0.698
0.596
0.340
1.161
0.840
0.666
0.557
0.299
38.622
9.836
4.545
2.340
0.401
1.161
0.840
0.666
0.557
0.299
2240.761
1069.345
763.603
602.223
268.874
1.161
0.840
0.666
0.557
0.299
1.166
0.861
0.698
0.596
0.340
1.161
0.840
0.666
0.557
0.299
MLE
127910.100
34703.920
19894.650
13947.930
5010.152
101151.800
28598.560
16575.340
11677.740
4230.281
1.270
0.992
0.844
0.755
0.552
1.769
1.674
1.623
1.592
1.520
1.278
0.940
0.748
0.626
0.328
1.160
0.837
0.661
0.550
0.280
1.953
1.936
1.924
1.913
1.865
1.988
1.983
1.980
1.977
1.964
47952.080
16942.960
10592.630
7738.159
2977.766
1.159
0.836
0.660
0.549
0.279
1.164
0.857
0.693
0.589
0.323
1.159
0.836
0.660
0.549
0.279
375.952
90.268
39.045
17.907
0.908
1.159
0.836
0.660
0.549
0.279
22376.190
10662.120
7610.758
5999.888
2673.596
1.159
0.836
0.660
0.549
0.279
1.164
0.857
0.693
0.589
0.323
1.159
0.836
0.660
0.549
0.279
Note. indicates the ridge estimator based on the ridge parameter estimator a, indicates the Liu estimator based on the Liu parameter estimator b, and bold values indicate the minimum SMSEs.
