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
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 ).
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.