Nova generalização para a classe Beta-G de distribuições de probabilidade

Abstract

We propose a new generator of continuous distributions with three extra parameters called the Beta ( (1 − G), (1 − )G + ), which generalizes the Beta-G class. Some special cases are presented. The new density function can be expressed as a difference of linear combinations of exponentiated densities based on the same baseline distribution. Various structural properties of the new class, which hold for any baseline model, are derived including explicit expressions for the moments of order n, the moment generating function, the characteristic function, central moments of order n, the general coefficient, the mean deviations, residual life function, reverse life function and order statistics. We discuss estimation of the model parameters by maximum likelihood and provide an application to a real data set.