On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 4
Estimated SMSE values for different when .
Estimator
MLE
245.039
93.937
58.668
42.234
15.927
210.562
81.256
50.776
36.539
13.806
1.362
1.084
0.927
0.831
0.595
1.760
1.631
1.551
1.335
1.368
1.433
1.109
0.902
0.763
0.450
1.321
0.992
0.802
0.680
0.393
1.529
1.254
1.074
0.944
0.529
1.577
1.380
1.267
1.199
0.928
70.111
37.569
27.385
21.437
9.560
1.315
0.988
0.799
0.677
0.391
3.014
1.915
1.413
1.064
0.455
1.315
0.988
0.799
0.677
0.391
3.980
2.187
1.530
1.155
0.480
1.315
0.988
0.799
0.677
0.391
48.183
31.266
24.062
19.472
9.242
1.315
0.988
0.799
0.677
0.391
1.318
1.006
0.826
0.710
0.423
1.315
0.988
0.799
0.677
0.391
MLE
2380.463
911.567
568.777
409.234
154.218
2046.259
789.199
492.750
354.411
133.844
1.357
1.078
0.921
0.825
0.591
1.759
1.630
1.550
1.500
1.369
1.430
1.104
0.895
0.755
0.387
1.311
0.975
0.779
0.651
0.333
1.537
1.255
1.072
0.936
0.516
1.577
1.382
1.270
1.205
0.933
668.982
360.132
260.603
202.710
88.570
1.306
0.972
0.777
0.650
0.332
18.050
9.434
6.071
4.062
0.620
1.306
0.972
0.777
0.650
0.332
26.753
12.123
7.442
4.843
0.868
1.306
0.972
0.777
0.650
0.332
454.645
293.149
224.734
181.166
84.798
1.306
0.972
0.777
0.650
0.332
1.310
0.992
0.807
0.686
0.371
1.306
0.972
0.777
0.650
0.332
MLE
23733.270
9089.415
5670.356
4079.535
1537.169
20402.520
7869.867
4912.825
3533.315
1334.242
1.357
1.077
0.921
0.825
0.591
1.759
1.630
1.550
1.500
1.369
1.430
1.103
0.895
0.754
0.386
1.310
0.973
0.777
0.648
0.326
1.538
1.256
1.073
0.935
0.514
1.577
1.383
1.270
1.206
0.935
6686.193
3595.616
2566.089
2026.436
880.321
1.305
0.971
0.775
0.647
0.325
169.962
83.376
52.921
35.078
2.784
1.305
0.971
0.775
0.647
0.325
254.364
111.777
66.952
42.161
5.245
1.305
0.971
0.775
0.647
0.325
4518.941
2913.413
2231.176
1797.415
840.163
1.305
0.971
0.775
0.647
0.325
1.309
0.990
0.805
0.684
0.365
1.305
0.971
0.775
0.647
0.325
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.
