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On \(F\)-discrete distributions. (English) Zbl 0923.60017

The aim of the paper is to investigate a new family of discrete distributions, called \(F\)-discrete distributions. The new distribution is proved to be similar to the well-known \(F\)-distribution (Fisher-Snedecor distribution) in the continuous case. A probabilistic model that generates the \(F\)-discrete distributions is given, and a recursion formula for their moments is provided. Some limit theorems are also proved, showing that Poisson and Pascal distributions can be obtained under certain conditions.
Reviewer: N.Curteanu (Iaşi)

MSC:

60E05 Probability distributions: general theory
60A99 Foundations of probability theory
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