The Gini coefficient and discontinuity

Figures & data

Figure 1. The graph of a non-continuous cdf. The area of the shaded set is $\underset{0}{\overset{1}{\int }}{F}^{-1}\left(u\right)du$.

Figure 2. The graph of 2 members of $NCDF,$ named $G$ and $H.$ The area of the shaded set is ${\left|\left|G-H\right|\right|}_1.$