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Some Properties and Applications of the Stuttering Generalized Waring Distribution

John Panaretos

MPRA Paper from University Library of Munich, Germany

Abstract: The Stuttering Generalized Waring Distribution arises in connection with sampling from an urn that contains balls of two colours (black and white) ant it can be thought of as an intermingling of generalized Waring streams (Panaretos and Xekalaki [4]). Because of its application potential a study of its properties would be worthwhile. In this paper it is shown that it can be obtained as a mixture of the generalized Poisson distribution. It is also demonstrated that, in a urn scheme, 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

Keywords: Generalized Saring distribution; Generalized Poisson distribution; Mixtures of distributions; Urn models; Accident theory; Hypergeometric function (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Date: 1989
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Published in International Journal of Mathematics and Mathematical Science 3.12(1989): pp. 531-538

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