Based on the Dagum distribution, we propose a new family of continuous distributions with three extra shape parameters called the odd Dagum-G family. It
extends some well-known classes namely: the exponentiated-G, odd log-logistic-G
and Marshall-Olkin-G classes, among others. Two special cases of this family are
discussed. We investigate the shapes of the density and hazard rate functions.
Several properties of the proposed family are derived. The model parameters
are estimated by maximum likelihood and the usefulness of the new family is
illustrated by means of two real data sets.