Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
| Measures | n | MLE | MPSE | OLSE | WLSE |
| AVEs | 10 | 0.4968 | 0.7843 | 1.4418 | 1.5585 | 25 | 0.4985 | 0.6435 | 1.4329 | 1.6519 | 50 | 0.5000 | 0.5829 | 1.4333 | 1.7283 | 100 | 0.5010 | 0.5473 | 1.4293 | 1.8036 | 200 | 0.4997 | 0.5276 | 1.4289 | 1.8794 |
| AABs | 10 | 0.0032 | 0.2843 | 0.9418 | 1.0585 | 25 | 0.0015 | 0.1435 | 0.9329 | 1.1519 | 50 | 0.0000 | 0.0829 | 0.9333 | 1.2283 | 100 | 0.0010 | 0.0473 | 0.9293 | 1.3036 | 200 | 0.0003 | 0.0276 | 0.9289 | 1.3794 |
| MREs | 10 | 0.0064 | 0.5685 | 1.8836 | 2.1170 | 25 | 0.0029 | 0.2870 | 1.8658 | 2.3038 | 50 | 0.0000 | 0.1658 | 1.8666 | 2.4567 | 100 | 0.0019 | 0.0946 | 1.8585 | 2.6072 | 200 | 0.0006 | 0.0551 | 1.8577 | 2.7589 |
| MSEs | 10 | 0.0746 | 0.1886 | 0.9499 | 1.1835 | 25 | 0.0290 | 0.0568 | 0.8940 | 1.3550 | 50 | 0.0147 | 0.0233 | 0.8828 | 1.5244 | 100 | 0.0073 | 0.0101 | 0.8693 | 1.7085 | 200 | 0.0037 | 0.0046 | 0.8656 | 1.9080 |
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