We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the\nexponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate\nfunction.We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability\nweighted moments, Bonferroni and Lorenz curves, Shannon and R�´enyi entropies, and order statistics, which hold for any baseline\nmodel. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum\nlikelihood and demonstrate the potentiality of the new family by means of two real data sets.
Loading....