Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
| Measures | n | MLE | MPSE | OLSE | WLSE |
| AVEs | 10 | 2.0066 | 2.5211 | 2.8824 | 2.9425 | 25 | 2.0016 | 2.2827 | 2.8391 | 2.9906 | 50 | 1.9966 | 2.1623 | 2.8233 | 3.0583 | 100 | 1.9995 | 2.0920 | 2.8123 | 3.1371 | 200 | 2.0029 | 2.0550 | 2.8088 | 3.2153 |
| AABs | 10 | 0.0066 | 0.5211 | 0.8824 | 0.9425 | 25 | 0.0016 | 0.2827 | 0.8391 | 0.9906 | 50 | 0.0034 | 0.1623 | 0.8233 | 1.0583 | 100 | 0.0005 | 0.0920 | 0.8123 | 1.1371 | 200 | 0.0029 | 0.0550 | 0.8088 | 1.2153 |
| MREs | 10 | 0.0033 | 0.2605 | 0.4412 | 0.4713 | 25 | 0.0008 | 0.1414 | 0.4196 | 0.4953 | 50 | 0.0017 | 0.0811 | 0.4117 | 0.5291 | 100 | 0.0002 | 0.0460 | 0.4061 | 0.5686 | 200 | 0.0015 | 0.0275 | 0.4044 | 0.6076 |
| MSEs | 10 | 0.4582 | 0.8418 | 1.2952 | 1.3324 | 25 | 0.1792 | 0.2935 | 0.8953 | 1.1327 | 50 | 0.0886 | 0.1272 | 0.7771 | 1.1916 | 100 | 0.0468 | 0.0551 | 0.7068 | 1.3274 | 200 | 0.0227 | 0.0264 | 0.6782 | 1.4940 |
|
|