On a Mixed Poisson Liu Regression Estimator for Overdispersed and Multicollinear Count Data
Table 9
Estimated SMSE values for different when .
Estimator
MLE
1913.478
529.367
304.832
214.179
77.231
1615.252
457.738
265.474
187.103
67.842
1.443
1.178
1.021
0.919
0.666
1.827
1.739
1.685
1.650
1.564
1.465
1.160
0.964
0.832
0.583
1.365
1.067
0.894
0.782
0.524
1.772
1.685
1.628
1.580
1.399
1.931
1.907
1.888
1.872
1.804
590.911
229.175
150.091
112.173
45.497
1.363
1.066
0.893
0.781
0.523
1.362
1.071
0.904
0.798
0.545
1.363
1.066
0.893
0.781
0.523
6.187
2.681
1.803
1.335
0.613
1.363
1.066
0.893
0.781
0.523
226.352
124.980
96.153
79.475
39.380
1.363
1.066
0.893
0.781
0.523
1.362
1.071
0.904
0.798
0.545
1.363
1.066
0.893
0.781
0.523
MLE
18970.200
5238.906
3016.275
2118.897
763.641
15980.020
4527.688
2625.743
1850.438
670.750
1.437
1.170
1.013
0.910
0.659
1.826
1.738
1.685
1.650
1.564
1.460
1.152
0.954
0.819
0.458
1.349
1.040
0.855
0.732
0.410
1.912
1.881
1.859
1.838
1.754
1.976
1.968
1.961
1.955
1.931
5905.543
2269.317
1474.808
1099.555
439.065
1.348
1.039
0.855
0.731
0.409
1.348
1.047
0.870
0.754
0.444
1.348
1.039
0.855
0.731
0.409
49.717
16.741
9.524
5.832
1.099
1.348
1.039
0.855
0.731
0.409
2218.397
1216.301
932.605
768.820
376.437
1.348
1.039
0.855
0.731
0.409
1.348
1.047
0.870
0.754
0.444
1.348
1.039
0.855
0.731
0.409
MLE
189540.800
52332.180
30131.600
21166.800
7627.807
159604.500
45226.060
26229.020
18484.280
6699.903
1.436
1.169
1.012
0.910
0.658
1.826
1.738
1.684
1.650
1.564
1.459
1.151
0.953
0.818
0.455
1.347
1.037
0.852
0.727
0.397
1.970
1.960
1.952
1.945
1.914
1.992
1.989
1.987
1.985
1.977
59285.760
22644.310
14721.380
10972.310
4374.427
1.346
1.036
0.851
0.726
0.396
1.346
1.044
0.867
0.749
0.432
1.346
1.036
0.851
0.726
0.396
485.473
157.635
87.075
51.146
6.811
1.346
1.036
0.851
0.726
0.396
22132.520
12130.250
9296.824
7661.909
3746.686
1.346
1.036
0.851
0.726
0.396
1.346
1.044
0.867
0.749
0.432
1.346
1.036
0.851
0.726
0.396
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.
