On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 5
Estimated SMSE values for different when .
Estimator
MLE
372.624
143.374
89.597
64.506
24.352
335.750
129.559
80.947
58.240
22.006
1.524
1.268
1.106
0.999
0.709
1.830
1.721
1.646
1.593
1.440
1.596
1.323
1.127
0.984
0.556
1.500
1.205
1.012
0.879
0.513
1.657
1.408
1.225
1.071
0.611
1.712
1.562
1.468
1.410
1.171
81.482
48.077
36.358
29.354
13.841
1.495
1.202
1.010
0.877
0.512
3.476
2.801
2.138
1.738
0.655
1.495
1.202
1.010
0.877
0.512
4.793
3.092
2.332
1.860
0.783
1.495
1.202
1.010
0.877
0.512
49.919
36.118
29.627
24.850
12.838
1.495
1.202
1.010
0.877
0.512
1.494
1.207
1.023
0.895
0.539
1.495
1.202
1.010
0.877
0.512
MLE
3620.475
1391.796
1056.591
625.309
235.911
3262.905
1258.426
785.586
564.931
213.346
1.520
1.263
1.184
0.993
0.704
1.829
1.720
1.645
1.593
1.441
1.594
1.319
1.222
0.978
0.546
1.493
1.194
0.997
0.859
0.473
1.661
1.406
1.291
1.061
0.589
1.712
1.563
1.471
1.415
1.177
787.324
458.141
384.280
276.544
128.660
1.489
1.191
0.995
0.858
0.472
21.560
15.514
14.279
8.557
1.508
1.489
1.191
0.995
0.858
0.472
33.215
18.962
16.545
9.874
2.662
1.489
1.191
0.995
0.858
0.472
468.722
339.052
297.506
231.827
118.588
1.489
1.191
0.995
0.858
0.472
1.488
1.197
1.104
0.878
0.502
1.489
1.191
0.995
0.858
0.472
MLE
36096.870
13878.260
8663.555
6233.728
2351.556
32533.570
12549.090
7832.527
5632.137
2126.778
1.520
1.262
1.100
0.993
0.704
1.829
1.720
1.645
1.593
1.441
1.594
1.319
1.121
0.978
0.545
1.493
1.192
0.995
0.857
0.469
1.662
1.405
1.218
1.060
0.586
1.712
1.564
1.471
1.416
1.177
7842.881
4570.904
3415.339
2780.195
1273.319
1.489
1.190
0.993
0.856
0.468
200.651
143.093
106.295
77.311
10.414
1.489
1.190
0.993
0.856
0.468
317.588
177.880
124.068
90.144
21.795
1.489
1.190
0.993
0.856
0.468
4658.671
3368.218
2747.316
2301.456
1175.937
1.489
1.190
0.993
0.856
0.468
1.487
1.196
1.008
0.876
0.498
1.489
1.190
0.993
0.856
0.468
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.
