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.