On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 7
Estimated SMSE values for different when .
Estimator
MLE
2300.301
639.879
369.034
259.458
93.662
1987.509
563.548
326.892
230.407
83.557
1.512
1.257
1.100
0.994
0.720
1.850
1.766
1.713
1.677
1.584
1.537
1.252
1.060
0.925
0.589
1.441
1.153
0.977
0.860
0.566
1.809
1.736
1.687
1.645
1.484
1.944
1.924
1.908
1.895
1.838
640.236
259.627
172.729
130.386
53.893
1.439
1.152
0.977
0.859
0.565
1.437
1.155
0.984
0.874
0.587
1.439
1.152
0.977
0.859
0.565
6.649
3.124
2.185
1.653
0.733
1.439
1.152
0.977
0.859
0.565
220.533
129.204
102.887
87.006
45.331
1.439
1.152
0.977
0.859
0.565
1.437
1.155
0.984
0.872
0.587
1.439
1.152
0.977
0.859
0.565
MLE
22798.240
6332.474
3651.496
2566.870
926.151
196357.100
5573.940
3233.031
2278.584
826.081
1.506
1.250
1.092
0.986
0.713
1.849
1.765
1.712
1.676
1.584
1.532
1.244
1.050
0.913
0.527
1.425
1.130
0.945
0.819
0.471
1.928
1.902
1.884
1.867
1.796
1.993
1.974
1.968
1.964
1.944
6415.618
2567.391
1699.215
1278.986
521.731
1.425
1.130
0.945
0.818
0.470
1.425
1.134
0.955
0.834
0.501
1.425
1.130
0.945
0.818
0.470
53.531
20.366
12.527
8.245
1.884
1.425
1.130
0.945
0.818
0.470
2158.873
1257.337
998.371
842.321
434.501
1.425
1.130
0.945
0.818
0.470
1.425
1.134
0.955
0.834
0.501
1.425
1.130
0.945
0.818
0.470
MLE
227775.300
63256.020
36477.080
25641.810
9251.13
196357.100
55676.490
32295.150
22760.94
8251.422
1.505
1.249
1.091
0.985
0.712
1.849
1.765
1.712
1.676
1.584
1.532
1.244
1.049
0.912
0.525
1.425
1.128
0.942
0.814
0.461
1.976
1.967
1.961
1.955
1.930
1.993
1.991
1.989
1.988
1.981
63840.260
25673.520
16963.610
12777.610
5199.849
1.425
1.127
0.941
0.813
0.460
1.424
1.132
0.952
0.830
0.492
1.425
1.127
0.941
0.813
0.460
522.672
192.977
116.222
74.421
14.028
1.425
1.127
0.941
0.813
0.460
21531.760
12537.490
9952.961
8395.063
4325.936
1.425
1.127
0.941
0.813
0.460
1.424
1.132
0.952
0.830
0.492
1.425
1.127
0.941
0.813
0.460
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.
