Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
| Measures | n | MLE | MPSE | OLSE | WLSE |
| AVEs | 10 | 5.0125 | 0.7843 | 5.9364 | 5.9628 | 25 | 4.9941 | 0.6435 | 5.8274 | 5.8697 | 50 | 4.9940 | 0.5829 | 5.7915 | 5.8775 | 100 | 5.0008 | 0.5473 | 5.7786 | 5.8901 | 200 | 5.0058 | 0.5276 | 5.7653 | 5.9333 |
| AABs | 10 | 0.0125 | 0.2843 | 0.9364 | 0.9628 | 25 | 0.0059 | 0.1435 | 0.8274 | 0.8697 | 50 | 0.0060 | 0.0829 | 0.7915 | 0.8775 | 100 | 0.0008 | 0.0473 | 0.7786 | 0.8901 | 200 | 0.0058 | 0.0276 | 0.7653 | 0.9333 |
| MREs | 10 | 0.0025 | 0.5685 | 0.1873 | 0.1926 | 25 | 0.0012 | 0.2870 | 0.1655 | 0.1739 | 50 | 0.0012 | 0.1658 | 0.1583 | 0.1755 | 100 | 0.0002 | 0.0946 | 0.1557 | 0.1780 | 200 | 0.0012 | 0.0551 | 0.1531 | 0.1867 |
| MSEs | 10 | 1.9222 | 0.1886 | 3.1835 | 3.1170 | 25 | 0.7577 | 0.0568 | 1.5769 | 1.5640 | 50 | 0.3792 | 0.0233 | 1.0711 | 1.1546 | 100 | 0.1912 | 0.0101 | 0.8233 | 0.9807 | 200 | 0.0969 | 0.0046 | 0.6971 | 0.9606 |
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