Socio-economic inequality: Relationship between Gini and Kolkata indices
  Socio-economic inequality is characterized from data using various indices. The Gini ($g$) index, giving the overall inequality is the most common one, while the recently introduced Kolkata ($k$) index gives a measure of $1-k$ fraction of population who possess top $k$ fraction of wealth in the society. Here, we show the relationship between the two indices, using both empirical data and analytical estimates. The significance of their relationship has been discussed. 
Arnab Chatterjee, Asim Ghosh, and Bikas K Chakrabarti
physics.soc-ph q-fin.GN