International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 3, Pages 531-537

Some properties and applications of the stuttering generalized waring distribution

J. Panaretos

School of Engineering, Division of Applied Mathematics, University of Patras, P.O. Box 1325, Patras, Greece

Received 27 July 1987; Revised 3 March 1989

Copyright © 1989 J. Panaretos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 (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 an 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 blnomial type sampling distribution as an approximation to the stuttering generalized Waring distribution.