Table 3 The mles, frequencies, and goodness-of-fit values for the Nipah virus dataset.
From: Discrete Poisson Haq distribution with mathematical properties and count data modeling
X | Obs. Fr. | Exp. Fr. | |||||
|---|---|---|---|---|---|---|---|
PH | PRL | PXL | PME | PEWE | Poisson | ||
0 | 33 | 32.319 | 2.0391 | 31.886 | 29.616 | 13.823 | 26.453 |
1 | 12 | 13.401 | 8.2212 | 13.807 | 16.157 | 14.908 | 19.839 |
2 | 6 | 5.7576 | 9.5403 | 5.9290 | 6.6110 | 10.957 | 7.4398 |
3 | 3 | 2.5247 | 8.7520 | 2.5284 | 2.4045 | 7.0041 | 1.8599 |
4 | 1 | 1.1168 | 7.2374 | 1.0718 | 0.8199 | 4.1627 | 0.3487 |
5 | 1 | 0.8810 | 20.210 | 0.7777 | 0.3921 | 5.1457 | 0.0596 |
Total | 56 | 56 | 56 | 56 | 56 | 56 | 56 |
MLE | \(\:\:\widehat{\alpha\:}\) | 1.6979 | 2.7573 | 1.5406 | 0.3749 | 1.1287 | 0.7499 |
GOF Measures | \(\:-l\) | 66.892 | 108.84 | 66.928 | 67.767 | 83.838 | 71.582 |
AIC | 135.78 | 219.67 | 135.86 | 137.53 | 169.68 | 145.16 | |
BIC | 137.81 | 221.70 | 137.88 | 139.56 | 171.70 | 147.19 | |
\(\:{\chi\:}^{2}\) | 0.2112 | 500.56 | 0.3219 | 1.5147 | 37.443 | 4.8903 | |
df | 1.0 | 4.0 | 1.0 | 1.0 | 3.0 | 1.0 | |
p-value | 0.6458 | 0.0000 | 0.5704 | 0.2184 | 0.0000 | 0.0270 | |