Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications

Table 1

Some numerical values of mean, variance, CS, CK, DI, and CV.

	Mean	Variance	CS	CK	DI	CV
0.1	0.0833	0.0869	3.6858	17.631	1.0433	3.5384
0.5	0.4167	0.5069	2.0170	8.1353	1.2167	1.7088
0.7	0.5833	0.7603	1.8484	7.4924	1.3033	1.4948
1.0	0.8333	1.1944	1.7165	7.0335	1.4333	1.3115
1.5	1.2500	2.0625	1.6142	6.7080	1.6500	1.1489
2.5	2.0833	4.3403	1.5392	6.4932	2.0833	1.0000
3.0	2.5000	5.7500	1.5231	6.4518	2.3000	0.9592
3.5	2.9167	7.3403	1.5127	6.4269	2.5167	0.9289
4.0	3.3333	9.1111	1.5056	6.4114	2.7333	0.9055
5.0	4.1667	13.194	1.4972	6.3952	3.1667	0.8718
7.0	5.8333	23.528	1.4903	6.3869	4.0333	0.8315
10.0	8.3333	44.444	1.4875	6.3900	5.3333	0.8000
15.0	12.500	93.750	1.4872	6.3995	7.5000	0.7746
50.0	41.667	944.44	1.4904	6.4262	22.667	0.7376
100.0	83.333	3694.4	1.4918	6.4345	44.333	0.7294