REAT (version 3.0.2)

atkinson: Atkinson Inequality Index

Description

Calculating the Atkinson Inequality Index e.g. with respect to regional income

Usage

atkinson(x, epsilon = 0.5, na.rm = TRUE)

Arguments

x

A numeric vector (e.g. dataset of regional income)

epsilon

A single value of the $ϵ$ weighting coefficient (default: at.epsilon = 0.5)

na.rm

logical argument that indicates whether NA values should be excluded before computing results

Value

A single numeric value of the Atkinson Inequality Index ($0<AI<1$).

Details

The Atkinson Inequality Index ($AI$) varies between 0 (no inequality/concentration) and 1 (complete inequality/concentration). It can be used for economic inequality and/or regional disparities (Portnov/Felsenstein 2010).

References

Portnov, B.A./Felsenstein, D. (2010): “On the suitability of income inequality measures for regional analysis: Some evidence from simulation analysis and bootstrapping tests”. In: Socio-Economic Planning Sciences, 44, 4, p. 212-219.

See Also

cv, gini, gini2, herf, theil, hoover, coulter, dalton, disp

Examples

# NOT RUN {
atkinson(c(100,0,0,0), epsilon = 0.8)

atkinson(c(100,100,100,100), epsilon = 0.8)
# }