Atkinson index
The Atkinson index is a measure of income inequality, named after Anthony Barnes Atkinson. It is one of the few normative measures since we can impose a coefficient \ to weight incomes.
The formula is Failed to parse (unknown function "\for"): {\displaystyle A=1-\frac{1}{\mu}\left(\frac{1}{N}\sum_{i=1}^{N}y_{i}^{1-\epsilon}\right)^{1/(1-\epsilon)} \for \epsilon>0,\epsilon \neq 1 } or Failed to parse (unknown function "\for"): {\displaystyle A1-\frac{1}{\mu}\left(\prod_{i=1}^{N}y_{i}\right)^{1/N} \for \epsilon=1}