gap {affluenceIndex}R Documentation

Affluence gap

Description

Computes the affluence gap.

Usage

gap(x, k)

Arguments

x

income vector

k

multiple of the median income

Details

Medeiros (2006) defined an affluence gap:

R^{Med}(\mathbf{x})=\frac{1}{n} ∑_{i=1}^{n}(x_i - ρ)_{+}=\frac{1}{n} ∑_{i=1}^{n} \max ≤ft\{x_i-ρ,0 \right\},

where x_i is an income of individual i, n is the number of individuals, ρ is the richness line. Medeiros' index is not standarized and is an absolute measure of richness.

Value

the gap value

Author(s)

Alicja Wolny-Dominiak

References

Medeiros M. (2006) The rich and the poor: the construction of an affluence line from the poverty line. Social Indicators Research, 78, pp. 1-18.

Examples

data(affluence)
gap(affluence$income,2)

[Package affluenceIndex version 1.0 Index]