Parameters Estimation of a Class of Generalized Beta Distribution

Based on the Generalized Beta-Generated distribution, we study the so-called Generalized Beta-generalized Pareto distribution, for the first time the GB-GP distribution is introduced and studied, it's including some special sub-model like Kum-GP distribution, B-GP distribution, generalized Pareto distribution and its exponentiated. Some structural properties of the proposed distribution are studied including explicit expressions for the moments, the estimation of the model parameters is discussed, estimate parameters by the method of maximum likelihood and provide the observed information matrix. The flexibility of the new model is illustrated with an application to a real data set.

Autorentext

Ekramy Khodary is a lecturer of statistics at Al-Azhar University of Commerce Collage at Cairo. In addition to his teaching and research duties at the university, he has held visiting positions at the University of Modern Academy at Cairo and Jazan University, Faculty of Science at Saudi Arabia and He teaches a range of mathematics and stat courses