Distribution of the ratio of female income over male income

There is a great discussion concerning the differences between the income of females and males. The purpose of the present study is to estimate the distribution of the ratio of female income over male income. The methodology to study the ratio in exam is based on the distribution of the ratio of two Dagum random variables with three parameters proposed in 2010 by Pollastri and Zambruno. We will consider the official statistics of income and we will estimate the parameters of the Dagum distribution. The distribution of the ratio in question studied in two different situations can reveal the gender inequality concerning income in different times, regions, and age classes.