Some properties and applications of the stuttering generalized Waring distribution (Q1120924)

Summary: The stuttering generalized Waring distribution arises in connection with sampling from an urn that contains balls of two colours (black and white) and it can be thought of as an intermingling of generalized Waring streams. Because of its application potential a study of its properties would be worthwhile. It is shown that it can be obtained as a mixture of generalized Poisson distributions. It is also demonstrated that, in an urn scheme, by increasing the number of balls in the urn in an appropriate fashion one can end up with a Poisson type or a negative binomial type sampling distribution as an approximation to the stuttering generalized Waring distribution.