Computational techniques in the study of discrete distributions generated by the function _3F_2

摘要

In this paper, we present the use of computational aspects in the study of the family of discrete distributions generated by the hypergeometric function _3F_2, which is a univariate extension of the Gaussian hypergeometric function. These computational techniques allow us to obtain the probability mass function, the mean, the mode in an explicit form as well as the knowledge of the most important properties. We can also obtain a summation result and implement different methods of estimation. Finally, we present an example of an application to real data already fitted by other discrete distributions.