Generalized Topp-Leone-G power series class of distributions: properties and applications

This note is concerned with the construction, development and applications of a new class of distributions referred to as the Generalized Topp-Leone-G Power Series class of distributions. More importantly, this new generalized class of distributions can be expressed as an infinite linear combination of exponentiated-G distributions, which allows us to develop and obtain the important statistical and mathematical properties. Monte Carlo simulations are conducted to established the consistency of the estimation process. Applications in several areas are presented to illustrate the importance and usefulness of this new class of distributions.