Abstract
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.
Highlights
With the aim of preventing accidents, accident theory has received much attention
Was obtained as the distribution of accidents. Generalizing this distribution Panaretos and Xekalaki [4] introduced the stuttering generalized Warlng distribution (SGWD) in the context of an un scheme. This is an intermingling of generalized Waring streams and is defined by the probability function (p.f)
Alh if and h vary from individual to individual according to a gamma and a beta distribution of the second kind respectively, the generalized Waring distribution (GWD) is arrived at as the distribution of accidents
Summary
With the aim of preventing accidents, accident theory has received much attention. In the framework of some of the various hypotheses. Was obtained as the distribution of accidents (see e.g. Irwin [2], Xekalaki [S], [8], [7]). Generalizing this distribution Panaretos and Xekalaki [4] introduced the stuttering generalized Warlng distribution (SGWD) in the context of an un scheme. This is an intermingling of generalized Waring streams and is defined by the probability function (p.f). A)denotes where the ratio FC+)/F(a), >0, R x=O,l,2,
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Mathematics and Mathematical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
