On some exponentiated generalized families and compound class of distributions with applications

Abstract

We introduce the exponentiated odd Nadarajah-Haghighi-G (EO-NH-G) family of distributions and the exponentiated odd exponential Topp-Leone-G (EOE-TL-G) family of distributions as well as the exponentiated odd exponential Topp-Leone-G power series class of distributions. We obtain the series expansions of the probability density functions, hazard rate functions, quantile functions, moments, conditional moments, Bonferroni and Lorenz curves, Renyi entropy and distribution of order statistics. The model parameters are ´ estimated using the maximum likelihood estimation technique and real datasets are used to compare the new distributions to other known distributions with the same number of parameters.