Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
| Measures | n | MLE | MPSE | OLSE | WLSE |
| AVEs | 10 | 7.0450 | 8.0130 | 7.9975 | 7.9878 | 25 | 6.9875 | 7.5987 | 7.8357 | 7.8768 | 50 | 7.0069 | 7.3690 | 7.8016 | 7.8364 | 100 | 6.9953 | 7.2282 | 7.7727 | 7.8462 | 200 | 7.0009 | 7.1250 | 7.7628 | 7.8512 |
| AABs | 10 | 0.0450 | 1.0130 | 0.9975 | 0.9878 | 25 | 0.0125 | 0.5987 | 0.8357 | 0.8768 | 50 | 0.0069 | 0.3690 | 0.8016 | 0.8364 | 100 | 0.0047 | 0.2282 | 0.7727 | 0.8462 | 200 | 0.0009 | 0.1250 | 0.7628 | 0.8512 |
| MREs | 10 | 0.0064 | 0.1447 | 0.1425 | 0.1411 | 25 | 0.0018 | 0.0855 | 0.1194 | 0.1253 | 50 | 0.0010 | 0.0527 | 0.1145 | 0.1195 | 100 | 0.0007 | 0.0326 | 0.1104 | 0.1209 | 200 | 0.0001 | 0.0179 | 0.1090 | 0.1216 |
| MSEs | 10 | 3.4370 | 5.0705 | 5.2666 | 5.0791 | 25 | 1.3367 | 1.8703 | 2.3226 | 2.2580 | 50 | 0.6921 | 0.8702 | 1.4497 | 1.4274 | 100 | 0.3380 | 0.3968 | 0.9837 | 1.0775 | 200 | 0.1647 | 0.1930 | 0.7756 | 0.8924 |
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