Table 1 Mean, var, CS, CK, CV, and ID of the PH distribution.
From: Discrete Poisson Haq distribution with mathematical properties and count data modeling
\(\:\theta\:\) | Mean | Var | CS | CK | CV | ID |
|---|---|---|---|---|---|---|
0.05 | 56.2812 | 1316.83 | 1.10002 | 4.83147 | 0.64476 | 23.3973 |
0.50 | 3.77778 | 15.2894 | 1.57280 | 6.27145 | 1.03486 | 4.04575 |
1.00 | 1.50000 | 3.75000 | 1.96231 | 8.30667 | 1.29099 | 2.50000 |
1.50 | 0.88000 | 1.70560 | 2.16994 | 9.60034 | 1.48406 | 1.93818 |
2.00 | 0.61111 | 1.01543 | 2.30112 | 10.3951 | 1.64894 | 1.66162 |
2.50 | 0.46531 | 0.69941 | 2.40410 | 10.9577 | 1.79733 | 1.50312 |
3.00 | 0.37500 | 0.52604 | 2.49702 | 11.4299 | 1.93410 | 1.40278 |
3.50 | 0.31393 | 0.41896 | 2.58610 | 11.8742 | 2.06181 | 1.33454 |
4.00 | 0.27000 | 0.34710 | 2.67325 | 12.3152 | 2.18204 | 1.28556 |
4.50 | 0.23691 | 0.29588 | 2.75896 | 12.7615 | 2.29595 | 1.24887 |
5.00 | 0.21111 | 0.25765 | 2.84326 | 13.2156 | 2.40441 | 1.22048 |
6.00 | 0.17347 | 0.20460 | 3.00738 | 14.1455 | 2.60755 | 1.17947 |
7.00 | 0.14732 | 0.16962 | 3.16527 | 15.0977 | 2.79561 | 1.15138 |
8.00 | 0.12809 | 0.14486 | 3.31700 | 16.0650 | 2.97146 | 1.13095 |
9.00 | 0.11333 | 0.12641 | 3.46290 | 17.0421 | 3.13719 | 1.11542 |
10.0 | 0.10165 | 0.11215 | 3.60340 | 18.0260 | 3.29437 | 1.10323 |
11.0 | 0.09217 | 0.10078 | 3.73894 | 19.0143 | 3.44419 | 1.09338 |
15.0 | 0.06719 | 0.07174 | 4.23937 | 22.9911 | 3.98639 | 1.06770 |
20.0 | 0.05023 | 0.05276 | 4.79293 | 27.9828 | 4.57320 | 1.05045 |
30.0 | 0.03340 | 0.03452 | 5.74253 | 37.9813 | 5.56235 | 1.03347 |
