On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 10
Estimated SMSE values for different when .
Estimator
MLE
1203.887
326.347
186.925
131.032
47.070
942.456
266.410
154.391
108.775
39.413
1.247
0.970
0.825
0.738
0.541
1.759
1.663
1.612
1.582
1.512
1.251
0.915
0.728
0.644
0.490
1.152
0.849
0.698
0.611
0.467
1.645
1.514
1.434
1.369
1.142
1.884
1.842
1.813
1.786
1.684
465.044
162.790
102.135
74.654
29.225
1.149
0.847
0.696
0.609
0.465
1.153
0.865
0.722
0.640
0.482
1.149
0.847
0.696
0.609
0.465
4.658
1.685
1.056
0.783
0.484
1.149
0.847
0.696
0.609
0.465
226.525
106.636
75.619
59.457
26.668
1.149
0.847
0.696
0.609
0.465
1.153
0.865
0.722
0.640
0.482
1.149
0.847
0.696
0.609
0.465
MLE
11945.500
3229.547
1849.498
1296.132
465.298
9327.907
2635.654
1527.277
1075.930
389.720
1.239
0.961
0.816
0.729
0.535
1.758
1.663
1.612
1.582
1.512
1.244
0.904
0.714
0.596
0.333
1.127
0.806
0.635
0.529
0.284
1.854
1.801
1.766
1.734
1.606
1.960
1.944
1.934
1.923
1.883
4607.413
1604.938
999.657
728.579
279.071
1.126
0.805
0.635
0.529
0.283
1.132
0.829
0.670
0.571
0.325
1.126
0.805
0.635
0.529
0.283
36.507
8.798
3.902
1.946
0.357
1.126
0.805
0.635
0.529
0.283
2227.965
1037.162
731.880
573.204
252.443
1.126
0.805
0.635
0.529
0.283
1.132
0.829
0.670
0.571
0.325
1.126
0.805
0.635
0.529
0.283
MLE
119374.600
32260.090
18476.060
12947.690
4647.611
93171.490
26327.380
15256.460
10747.770
3892.826
1.238
0.961
0.816
0.729
0.535
1.757
1.663
1.612
1.582
1.512
1.243
0.903
0.713
0.594
0.309
1.124
0.802
0.629
0.521
0.262
1.949
1.930
1.918
1.905
1.854
1.987
1.981
1.978
1.974
1.961
46079.010
16015.790
9967.305
7252.673
2774.694
1.123
0.801
0.628
0.520
0.261
1.130
0.825
0.665
0.564
0.307
1.123
0.801
0.628
0.520
0.261
354.078
80.259
32.898
14.224
0.620
1.123
0.801
0.628
0.520
0.261
22260.380
10340.780
7294.258
5710.370
2509.670
1.123
0.801
0.628
0.520
0.261
1.130
0.825
0.665
0.564
0.307
1.123
0.801
0.628
0.520
0.261
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.
