Mathematical properties, application and simulation for the exponentiated generalized standardized Gumbel distribution

摘要

In this paper, we study the two-parameter exponentiated generalized standardized Gumbel distribution, which consists of a simple generalization of the Gumbel distribution. We investigate the power of fit of the proposed distribution to real data and study via Monte Carlo simulation the behavior of the MLEs for the model parameters. We provide a comprehensive mathematical treatment and prove that the formulas related to the new model are simple and manageable.