Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
| Measures | n | MLE | MPSE | OLSE | WLSE |
| AVEs | 10 | 0.9981 | 1.3775 | 1.3775 | 2.0211 | 25 | 0.9989 | 1.1963 | 1.1963 | 2.0996 | 50 | 0.9975 | 1.1151 | 1.1151 | 2.1843 | 100 | 1.0022 | 1.0649 | 1.0649 | 2.2668 | 200 | 0.9989 | 1.0345 | 1.0345 | 2.3511 |
| AABs | 10 | 0.0019 | 0.3775 | 0.3775 | 1.0211 | 25 | 0.0011 | 0.1963 | 0.1963 | 1.0996 | 50 | 0.0025 | 0.1151 | 0.1151 | 1.1843 | 100 | 0.0022 | 0.0649 | 0.0649 | 1.2668 | 200 | 0.0011 | 0.0345 | 0.0345 | 1.3511 |
| MREs | 10 | 0.0019 | 0.3775 | 0.3775 | 1.0211 | 25 | 0.0011 | 0.1963 | 0.1963 | 1.0996 | 50 | 0.0025 | 0.1151 | 0.1151 | 1.1843 | 100 | 0.0022 | 0.0649 | 0.0649 | 1.2668 | 200 | 0.0011 | 0.0345 | 0.0345 | 1.3511 |
| MSEs | 10 | 0.1683 | 0.3792 | 0.3792 | 1.1914 | 25 | 0.0663 | 0.1206 | 0.1206 | 1.2629 | 50 | 0.0347 | 0.0521 | 0.0521 | 1.4302 | 100 | 0.0176 | 0.0228 | 0.0228 | 1.6190 | 200 | 0.0085 | 0.0099 | 0.0099 | 1.8333 |
|
|