We propose a generalization of the decomposition by population subgroups of the α-Gini index, the so-called multi-level subgroup decomposition. We demonstrate that all components obtained from the decomposition, can integrate in their functional form a parameter of inequality sensitivity being...

A poverty reduction failure index is a measure of the extent of inability of a society to reduce its poverty level. This paper develops an ordering for ranking alternative income distributions in terms of poverty reduction failures. The ordering can be easily implemented by using the generalized...