On the differences of two generalized poisson variates
Titel:
On the differences of two generalized poisson variates
Auteur:
Consul, P. C.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 15 (1986) nr. 3 pagina's 761-767
Jaar:
1986
Inhoud:
Considering X and Y as two independent generalized Poisson (GP) variates with distributions P x:(θ1:;,λ) and Py:(θ2:,λ), where [image omitted] , x = 0,1,2, … and θ > 0, 0 < A < 1, the probability distribution of D = X-Y is derived and some differential difference equations are given. The probability generating function and the cumulant generating function for the distribution of D are obtained. A recurrence relation for all the cumulants has been established. Also, the first five cumulants, β1:, and β2: have been derived.
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