An $Lp$-norm based approach to measuring inter-distributional inequality
This note proposes a class of indices of inter-distributional inequality (IDI) based on $Lp$. We also modify theaxiom of translation invariance and make it level sensitive'. Level sensitivity, in the context of IDI measures,essentially captures the idea that an IDI is less affected by change in the distributional inequality at higher margins ofthe distributions than at the lower margins. Our proposed IDI measure, in addition to satisfying some standardproperties of IDI measures, also satisfies the axiom of level sensitivity.
Munshi, Ritabrata and Munshi, Soumyanetra, "An $Lp$-norm based approach to measuring inter-distributional inequality" (2017). Journal Articles. 2773.