Generalized integer gamma distribution

The Generalized Integer Gamma Distribution is a statistical distribution that extends the traditional gamma distribution to encompass integer-valued random variables. While the classic gamma distribution is defined for continuous random variables, the generalized integer gamma distribution applies similar principles, allowing for the modeling of count data. ### Key Characteristics 1. **Parameterization**: The generalized integer gamma distribution is typically characterized by shape and scale parameters, similar to the standard gamma distribution.