On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 6
Estimated SMSE values for different when .
Estimator
MLE
227.529
87.144
54.416
39.171
14.768
193.512
74.676
46.666
33.583
12.689
1.330
1.050
0.896
0.802
0.577
1.746
1.613
1.533
1.483
1.355
1.400
1.068
0.862
0.725
0.416
1.285
0.954
0.766
0.648
0.376
1.503
1.228
1.052
0.924
0.521
1.548
1.343
1.226
1.157
0.882
67.852
36.245
25.990
20.327
8.977
1.279
0.949
0.763
0.645
0.374
2.899
1.772
1.305
0.976
0.430
1.279
0.949
0.763
0.645
0.374
3.811
2.033
1.413
1.052
0.448
1.279
0.949
0.763
0.645
0.374
47.518
30.250
23.033
18.542
8.692
1.279
0.949
0.763
0.645
0.374
1.284
0.970
0.793
0.680
0.407
1.279
0.949
0.763
0.645
0.374
MLE
2210.274
845.575
527.502
379.519
142.979
1880.557
725.279
452.854
325.727
123.011
1.326
1.044
0.890
0.797
0.573
1.745
1.612
1.533
1.483
1.356
1.397
1.063
0.855
0.717
0.363
1.275
0.935
0.742
0.617
0.312
1.512
1.228
1.052
0.916
0.505
1.548
1.345
1.230
1.164
0.887
648.258
337.046
243.617
191.393
83.591
1.270
0.933
0.740
0.616
0.311
17.334
8.451
5.202
3.470
0.535
1.270
0.933
0.740
0.616
0.311
25.449
11.022
6.590
4.168
0.712
1.270
0.933
0.740
0.616
0.311
448.155
283.402
215.143
172.414
79.621
1.270
0.933
0.740
0.616
0.311
1.276
0.955
0.773
0.655
0.351
1.270
0.933
0.740
0.616
0.311
MLE
22036.400
8431.337
5258.827
3783.276
1425.136
18750.330
7232.441
4515.045
3247.348
1226.248
1.325
1.044
0.890
0.796
0.573
1.745
1.612
1.533
1.483
1.356
1.396
1.062
0.854
0.716
0.361
1.274
0.934
0.739
0.613
0.305
1.514
1.230
1.052
0.915
0.503
1.548
1.346
1.230
1.165
0.889
6435.778
3365.452
2444.748
1882.106
822.170
1.269
0.931
0.737
0.612
0.304
161.526
74.435
44.844
29.430
2.132
1.269
0.931
0.737
0.612
0.304
241.493
101.296
58.745
35.786
3.880
1.269
0.931
0.737
0.612
0.304
4456.390
2815.842
2135.848
1710.447
788.719
1.269
0.931
0.737
0.612
0.304
1.275
0.954
0.771
0.652
0.344
1.269
0.931
0.737
0.612
0.304
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.
