On the Generalized-G Poisson Family of Distributions

Music City Center 

In recent years, extensive work has been done into developing broader families of distributions to better capture the complexity of various data types. We will present a family of distributions, in an effort to add a more flexible family in the field of probability distributions. This family is derived from the foundation of the zero-truncated Poisson (ZTP) distribution. Some special cases of the generalized-G Poisson family will be presented to show their usefulness to model different types of real-life data sets.

Generalized distribution

zero truncated Poisson distribution

McDonald distribution

Beta distribution 

IMS