  A number of methods have been introduced in order to measure the inequality
in various situations such as income and expenditure. In order to curry out
statistical inference, one often needs to estimate the available measures of
inequality. Many estimators are available in the literature, the most used ones
being the non parametric estimators. kpanzou(2011) has developed
semi-parametric estimators for measures of inequality and showed that these are
very appropriate especially for heavy tailed distributions. In this paper we
apply such semi-parametric methods to a practical data set and show how they
compare to the non parametric estimators. A guidance is also given on the
choice of parametric distributions to fit in the tails of the data
