Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
| Measures | n | MLE | MPSE | OLSE | WLSE |
| AVEs | 10 | 15.0242 | 16.5843 | 16.2202 | 16.2490 | 25 | 15.0510 | 15.9596 | 15.9142 | 15.9865 | 50 | 15.0026 | 15.6522 | 15.8485 | 15.8398 | 100 | 14.9940 | 15.4018 | 15.7986 | 15.8150 | 200 | 14.9932 | 15.2414 | 15.7528 | 15.7919 |
| AABs | 10 | 0.0242 | 1.5843 | 1.2202 | 1.2490 | 25 | 0.0510 | 0.9596 | 0.9142 | 0.9865 | 50 | 0.0026 | 0.6522 | 0.8485 | 0.8398 | 100 | 0.0060 | 0.4018 | 0.7986 | 0.8150 | 200 | 0.0068 | 0.2414 | 0.7528 | 0.7919 |
| MREs | 10 | 0.0016 | 0.1056 | 0.0813 | 0.0833 | 25 | 0.0034 | 0.0640 | 0.0609 | 0.0658 | 50 | 0.0002 | 0.0435 | 0.0566 | 0.0560 | 100 | 0.0004 | 0.0268 | 0.0532 | 0.0543 | 200 | 0.0005 | 0.0161 | 0.0502 | 0.0528 |
| MSEs | 10 | 13.4647 | 18.0826 | 18.5449 | 17.8101 | 25 | 5.3346 | 6.7618 | 7.3580 | 7.2331 | 50 | 2.7668 | 3.3214 | 3.9238 | 3.7004 | 100 | 1.3346 | 1.5603 | 2.2297 | 2.1529 | 200 | 0.6885 | 0.7398 | 1.3639 | 1.3538 |
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