On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 3
Estimated SMSE values for different when .
Estimator
MLE
452.489
174.282
108.926
78.421
29.614
414.628
159.988
99.952
71.908
27.170
1.589
1.349
1.189
1.080
0.768
1.856
1.758
1.686
1.635
1.475
1.658
1.412
1.227
1.087
0.641
1.571
1.298
1.110
0.975
0.583
1.709
1.477
1.298
1.145
0.667
1.759
1.630
1.545
1.493
1.271
86.420
53.340
41.202
33.485
16.218
1.567
1.295
1.108
0.974
0.582
3.646
3.137
2.494
2.083
0.795
1.567
1.295
1.108
0.974
0.582
5.060
3.487
2.749
2.250
1.010
1.567
1.295
1.108
0.974
0.582
49.373
37.725
31.882
27.274
14.777
1.567
1.295
1.108
0.974
0.582
1.564
1.297
1.116
0.986
0.605
1.567
1.295
1.108
0.974
0.582
MLE
4396.674
1692.037
1056.591
760.296
286.932
4029.486
1554.024
970.048
697.530
263.417
1.586
1.344
1.184
1.074
0.763
1.855
1.757
1.686
1.634
1.475
1.656
1.408
1.222
1.082
0.632
1.565
1.288
1.097
0.959
0.548
1.711
1.474
1.291
1.132
0.646
1.760
1.631
1.548
1.497
1.277
823.212
507.768
384.280
314.227
151.077
1.561
1.286
1.095
0.958
0.548
22.182
17.975
14.279
11.114
2.237
1.561
1.286
1.095
0.958
0.548
35.171
22.122
16.545
12.810
4.197
1.561
1.286
1.095
0.958
0.548
463.151
353.349
297.506
254.383
136.779
1.561
1.286
1.095
0.958
0.548
1.559
1.289
1.104
0.972
0.574
1.561
1.286
1.095
0.958
0.548
MLE
43836.060
16872.260
10534.020
7579.503
2860.172
40177.070
15496.860
9671.687
6954.122
2625.934
1.585
1.344
1.183
1.074
0.762
1.855
1.757
1.686
1.634
1.475
1.656
1.408
1.222
1.081
0.631
1.565
1.287
1.095
0.957
0.546
1.711
1.474
1.290
1.131
0.644
1.760
1.631
1.548
1.498
1.277
8201.712
4973.109
3898.417
3163.635
1503.131
1.561
1.285
1.094
0.956
0.545
208.113
165.643
132.270
101.672
17.001
1.561
1.285
1.094
0.956
0.545
336.983
208.402
154.438
118.589
36.359
1.561
1.285
1.094
0.956
0.545
4596.616
3511.205
2954.507
2525.475
1356.645
1.561
1.285
1.094
0.956
0.545
1.559
1.288
1.103
0.970
0.571
1.561
1.285
1.094
0.956
0.545
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.
